Add generalFunctions dependency and implement basic measurement child registration in nodeClass
This commit is contained in:
6
package-lock.json
generated
6
package-lock.json
generated
@@ -9,6 +9,7 @@
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"version": "0.0.1",
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"license": "SEE LICENSE",
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"dependencies": {
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"generalFunctions": "git+https://gitea.centraal.wbd-rd.nl/p.vanderwilt/generalFunctions.git",
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"mathjs": "^14.5.2"
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}
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},
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@@ -59,6 +60,11 @@
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"url": "https://github.com/sponsors/rawify"
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}
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},
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"node_modules/generalFunctions": {
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"version": "1.0.0",
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"resolved": "git+https://gitea.centraal.wbd-rd.nl/p.vanderwilt/generalFunctions.git#950ca2b6b4e91b37479aee90bff74b02c16f130e",
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"license": "SEE LICENSE"
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},
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"node_modules/javascript-natural-sort": {
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"version": "0.7.1",
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"resolved": "https://registry.npmjs.org/javascript-natural-sort/-/javascript-natural-sort-0.7.1.tgz",
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@@ -27,6 +27,7 @@
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}
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},
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"dependencies": {
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"generalFunctions": "git+https://gitea.centraal.wbd-rd.nl/p.vanderwilt/generalFunctions.git",
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"mathjs": "^14.5.2"
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}
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}
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@@ -48,6 +48,12 @@ class nodeClass {
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case "Dispersion":
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this.reactor.setDispersion = msg;
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break;
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case 'registerChild':
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// Register this node as a child of the parent node
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const childId = msg.payload;
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const childObj = this.RED.nodes.getNode(childId);
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this.reactor.childRegistrationUtils.registerChild(childObj.source, msg.positionVsParent);
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break;
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default:
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console.log("Unknown topic: " + msg.topic);
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}
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@@ -1,9 +1,10 @@
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const ASM3 = require('./reaction_modules/asm3_class.js');
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const { create, all } = require('mathjs');
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const { assertNoNaN } = require('./utils.js');
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const { childRegistrationUtils, logger, MeasurementContainer } = require('generalFunctions');
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const config = {
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matrix: 'Array' // use Array as the matrix type
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matrix: 'Array' // use Array as the matrix type
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};
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const math = create(all, config);
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@@ -13,304 +14,320 @@ const NUM_SPECIES = 13;
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const DEBUG = false;
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class Reactor {
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/**
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* Reactor base class.
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* @param {object} config - Configuration object containing reactor parameters.
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*/
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constructor(config) {
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this.asm = new ASM3();
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/**
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* Reactor base class.
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* @param {object} config - Configuration object containing reactor parameters.
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*/
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constructor(config) {
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// EVOLV stuff
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this.logger = new logger(); //TODO: attach config
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this.measurements = new MeasurementContainer();
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this.childRegistrationUtils = new childRegistrationUtils(this); // Child registration utility
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this.volume = config.volume; // fluid volume reactor [m3]
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this.asm = new ASM3();
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this.Fs = Array(config.n_inlets).fill(0); // fluid debits per inlet [m3 d-1]
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this.Cs_in = Array.from(Array(config.n_inlets), () => new Array(NUM_SPECIES).fill(0)); // composition influents
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this.OTR = 0.0; // oxygen transfer rate [g O2 d-1]
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this.temperature = 20; // temperature [C]
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this.volume = config.volume; // fluid volume reactor [m3]
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this.kla = config.kla; // if NaN, use externaly provided OTR [d-1]
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this.Fs = Array(config.n_inlets).fill(0); // fluid debits per inlet [m3 d-1]
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this.Cs_in = Array.from(Array(config.n_inlets), () => new Array(NUM_SPECIES).fill(0)); // composition influents
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this.OTR = 0.0; // oxygen transfer rate [g O2 d-1]
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this.temperature = 20; // temperature [C]
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this.currentTime = Date.now(); // milliseconds since epoch [ms]
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this.timeStep = 1 / (24*60*15); // time step [d]
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this.speedUpFactor = 60; // speed up factor for simulation, 60 means 1 minute per simulated second
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this.kla = config.kla; // if NaN, use externaly provided OTR [d-1]
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this.currentTime = Date.now(); // milliseconds since epoch [ms]
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this.timeStep = 1 / (24*60*15); // time step [d]
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this.speedUpFactor = 60; // speed up factor for simulation, 60 means 1 minute per simulated second
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}
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updateMeasurement(variant, subType, value, position) {
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this.logger.debug(`---------------------- updating ${subType} ------------------ `);
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switch (subType) {
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case "temperature":
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this.logger.debug(`no nothing`);
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break;
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default:
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this.logger.error(`Type '${subType}' not recognized for measured update.`);
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return;
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}
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}
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/**
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* Setter for influent data.
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* @param {object} input - Input object (msg) containing payload with inlet index, flow rate, and concentrations.
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*/
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set setInfluent(input) {
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let index_in = input.payload.inlet;
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this.Fs[index_in] = input.payload.F;
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this.Cs_in[index_in] = input.payload.C;
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/**
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* Setter for influent data.
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* @param {object} input - Input object (msg) containing payload with inlet index, flow rate, and concentrations.
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*/
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set setInfluent(input) {
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let index_in = input.payload.inlet;
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this.Fs[index_in] = input.payload.F;
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this.Cs_in[index_in] = input.payload.C;
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}
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/**
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* Setter for OTR (Oxygen Transfer Rate).
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* @param {object} input - Input object (msg) containing payload with OTR value [g O2 d-1].
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*/
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set setOTR(input) {
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this.OTR = input.payload;
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}
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/**
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* Setter for temperature.
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* @param {object} input - Input object (msg) containing payload with temperature value [C].
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*/
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set setTemperature(input) {
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this.temperature = input.payload;
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}
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/**
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* Calculate the oxygen transfer rate (OTR) based on the dissolved oxygen concentration and temperature.
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* @param {number} S_O - Dissolved oxygen concentration [g O2 m-3].
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* @param {number} T - Temperature in Celsius, default to 20 C.
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* @returns {number} - Calculated OTR [g O2 d-1].
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*/
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_calcOTR(S_O, T = 20.0) { // caculate the OTR using basic correlation, default to temperature: 20 C
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let S_O_sat = 14.652 - 4.1022e-1 * T + 7.9910e-3 * T*T + 7.7774e-5 * T*T*T;
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return this.kla * (S_O_sat - S_O);
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}
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/**
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* Clip values in an array to zero.
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* @param {Array} arr - Array of values to clip.
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* @returns {Array} - New array with values clipped to zero.
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*/
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_arrayClip2Zero(arr) {
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if (Array.isArray(arr)) {
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return arr.map(x => this._arrayClip2Zero(x));
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} else {
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return arr < 0 ? 0 : arr;
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}
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}
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/**
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* Setter for OTR (Oxygen Transfer Rate).
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* @param {object} input - Input object (msg) containing payload with OTR value [g O2 d-1].
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*/
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set setOTR(input) {
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this.OTR = input.payload;
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/**
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* Update the reactor state based on the new time.
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* @param {number} newTime - New time to update reactor state to, in milliseconds since epoch.
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*/
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updateState(newTime) { // expect update with timestamp
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const day2ms = 1000 * 60 * 60 * 24;
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let n_iter = Math.floor(this.speedUpFactor * (newTime-this.currentTime) / (this.timeStep*day2ms));
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if (n_iter) {
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let n = 0;
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while (n < n_iter) {
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this.tick(this.timeStep);
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n += 1;
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}
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/**
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* Setter for temperature.
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* @param {object} input - Input object (msg) containing payload with temperature value [C].
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*/
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set setTemperature(input) {
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this.temperature = input.payload;
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this.currentTime += n_iter * this.timeStep * day2ms / this.speedUpFactor;
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}
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/**
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* Calculate the oxygen transfer rate (OTR) based on the dissolved oxygen concentration and temperature.
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* @param {number} S_O - Dissolved oxygen concentration [g O2 m-3].
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* @param {number} T - Temperature in Celsius, default to 20 C.
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* @returns {number} - Calculated OTR [g O2 d-1].
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*/
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_calcOTR(S_O, T = 20.0) { // caculate the OTR using basic correlation, default to temperature: 20 C
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let S_O_sat = 14.652 - 4.1022e-1 * T + 7.9910e-3 * T*T + 7.7774e-5 * T*T*T;
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return this.kla * (S_O_sat - S_O);
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}
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/**
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* Clip values in an array to zero.
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* @param {Array} arr - Array of values to clip.
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* @returns {Array} - New array with values clipped to zero.
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*/
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_arrayClip2Zero(arr) {
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if (Array.isArray(arr)) {
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return arr.map(x => this._arrayClip2Zero(x));
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} else {
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return arr < 0 ? 0 : arr;
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}
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}
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/**
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* Update the reactor state based on the new time.
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* @param {number} newTime - New time to update reactor state to, in milliseconds since epoch.
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*/
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updateState(newTime) { // expect update with timestamp
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const day2ms = 1000 * 60 * 60 * 24;
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let n_iter = Math.floor(this.speedUpFactor * (newTime-this.currentTime) / (this.timeStep*day2ms));
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if (n_iter) {
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let n = 0;
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while (n < n_iter) {
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this.tick(this.timeStep);
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n += 1;
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}
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this.currentTime += n_iter * this.timeStep * day2ms / this.speedUpFactor;
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}
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}
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}
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}
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class Reactor_CSTR extends Reactor {
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/**
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* Reactor_CSTR class for Continuous Stirred Tank Reactor.
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* @param {object} config - Configuration object containing reactor parameters.
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*/
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constructor(config) {
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super(config);
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this.state = config.initialState;
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}
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/**
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* Reactor_CSTR class for Continuous Stirred Tank Reactor.
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* @param {object} config - Configuration object containing reactor parameters.
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*/
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constructor(config) {
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super(config);
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this.state = config.initialState;
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}
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/**
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* Getter for effluent data.
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* @returns {object} Effluent data object (msg), defaults to inlet 0.
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*/
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get getEffluent() { // getter for Effluent, defaults to inlet 0
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return { topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: this.state }, timestamp: this.currentTime };
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}
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/**
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* Getter for effluent data.
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* @returns {object} Effluent data object (msg), defaults to inlet 0.
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*/
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get getEffluent() { // getter for Effluent, defaults to inlet 0
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return { topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: this.state }, timestamp: this.currentTime };
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}
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/**
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* Tick the reactor state using the forward Euler method.
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* @param {number} time_step - Time step for the simulation [d].
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* @returns {Array} - New reactor state.
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*/
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tick(time_step) { // tick reactor state using forward Euler method
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const inflow = math.multiply(math.divide([this.Fs], this.volume), this.Cs_in)[0];
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const outflow = math.multiply(-1 * math.sum(this.Fs) / this.volume, this.state);
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const reaction = this.asm.compute_dC(this.state, this.temperature);
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const transfer = Array(NUM_SPECIES).fill(0.0);
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transfer[S_O_INDEX] = isNaN(this.kla) ? this.OTR : this._calcOTR(this.state[S_O_INDEX], this.temperature); // calculate OTR if kla is not NaN, otherwise use externaly calculated OTR
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/**
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* Tick the reactor state using the forward Euler method.
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* @param {number} time_step - Time step for the simulation [d].
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* @returns {Array} - New reactor state.
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*/
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tick(time_step) { // tick reactor state using forward Euler method
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const inflow = math.multiply(math.divide([this.Fs], this.volume), this.Cs_in)[0];
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const outflow = math.multiply(-1 * math.sum(this.Fs) / this.volume, this.state);
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const reaction = this.asm.compute_dC(this.state, this.temperature);
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const transfer = Array(NUM_SPECIES).fill(0.0);
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transfer[S_O_INDEX] = isNaN(this.kla) ? this.OTR : this._calcOTR(this.state[S_O_INDEX], this.temperature); // calculate OTR if kla is not NaN, otherwise use externaly calculated OTR
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const dC_total = math.multiply(math.add(inflow, outflow, reaction, transfer), time_step)
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this.state = this._arrayClip2Zero(math.add(this.state, dC_total)); // clip value element-wise to avoid negative concentrations
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if(DEBUG){
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assertNoNaN(dC_total, "change in state");
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assertNoNaN(this.state, "new state");
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}
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return this.state;
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}
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const dC_total = math.multiply(math.add(inflow, outflow, reaction, transfer), time_step)
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this.state = this._arrayClip2Zero(math.add(this.state, dC_total)); // clip value element-wise to avoid negative concentrations
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if(DEBUG){
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assertNoNaN(dC_total, "change in state");
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assertNoNaN(this.state, "new state");
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}
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return this.state;
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}
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}
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class Reactor_PFR extends Reactor {
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/**
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* Reactor_PFR class for Plug Flow Reactor.
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* @param {object} config - Configuration object containing reactor parameters.
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*/
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constructor(config) {
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super(config);
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/**
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* Reactor_PFR class for Plug Flow Reactor.
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* @param {object} config - Configuration object containing reactor parameters.
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*/
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constructor(config) {
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super(config);
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this.length = config.length; // reactor length [m]
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this.n_x = config.resolution_L; // number of slices
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this.length = config.length; // reactor length [m]
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this.n_x = config.resolution_L; // number of slices
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this.d_x = this.length / this.n_x;
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this.A = this.volume / this.length; // crosssectional area [m2]
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this.d_x = this.length / this.n_x;
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this.A = this.volume / this.length; // crosssectional area [m2]
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this.alpha = config.alpha;
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this.alpha = config.alpha;
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this.state = Array.from(Array(this.n_x), () => config.initialState.slice())
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this.state = Array.from(Array(this.n_x), () => config.initialState.slice())
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// console.log("Initial State: ")
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// console.log(this.state)
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// console.log("Initial State: ")
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// console.log(this.state)
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this.D = 0.0; // axial dispersion [m2 d-1]
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this.D = 0.0; // axial dispersion [m2 d-1]
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this.D_op = this._makeDoperator(true, true);
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assertNoNaN(this.D_op, "Derivative operator");
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this.D_op = this._makeDoperator(true, true);
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assertNoNaN(this.D_op, "Derivative operator");
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this.D2_op = this._makeD2operator();
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assertNoNaN(this.D2_op, "Second derivative operator");
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this.D2_op = this._makeD2operator();
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assertNoNaN(this.D2_op, "Second derivative operator");
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}
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/**
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* Setter for axial dispersion.
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* @param {object} input - Input object (msg) containing payload with dispersion value [m2 d-1].
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*/
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set setDispersion(input) {
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this.D = input.payload;
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}
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/**
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* Getter for effluent data.
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* @returns {object} Effluent data object (msg), defaults to inlet 0.
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*/
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get getEffluent() {
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return { topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: this.state.at(-1) }, timestamp: this.currentTime };
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}
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updateState(newTime) {
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super.updateState(newTime);
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let Pe_local = this.d_x*math.sum(this.Fs)/(this.D*this.A)
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let Co_D = this.D*this.timeStep/(this.d_x*this.d_x);
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(Pe_local >= 2) && console.warn(`Local Péclet number (${Pe_local}) is too high! Increase reactor resolution.`);
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(Co_D >= 0.5) && console.warn(`Courant number (${Co_D}) is too high! Reduce time step size.`);
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if(DEBUG) {
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console.log("Inlet state max " + math.max(this.state[0]))
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console.log("Pe total " + this.length*math.sum(this.Fs)/(this.D*this.A));
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console.log("Pe local " + Pe_local);
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console.log("Co ad " + math.sum(this.Fs)*this.timeStep/(this.A*this.d_x));
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console.log("Co D " + Co_D);
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}
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}
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/**
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* Tick the reactor state using explicit finite difference method.
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* @param {number} time_step - Time step for the simulation [d].
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* @returns {Array} - New reactor state.
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*/
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tick(time_step) {
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const dispersion = math.multiply(this.D / (this.d_x*this.d_x), this.D2_op, this.state);
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const advection = math.multiply(-1 * math.sum(this.Fs) / (this.A*this.d_x), this.D_op, this.state);
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const reaction = this.state.map((state_slice) => this.asm.compute_dC(state_slice, this.temperature));
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const transfer = Array.from(Array(this.n_x), () => new Array(NUM_SPECIES).fill(0));
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if (isNaN(this.kla)) { // calculate OTR if kla is not NaN, otherwise use externally calculated OTR
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transfer.forEach((x) => { x[S_O_INDEX] = this.OTR; });
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} else {
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transfer.forEach((x, i) => { x[S_O_INDEX] = this._calcOTR(this.state[i][S_O_INDEX], this.temperature); });
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}
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/**
|
||||
* Setter for axial dispersion.
|
||||
* @param {object} input - Input object (msg) containing payload with dispersion value [m2 d-1].
|
||||
*/
|
||||
set setDispersion(input) {
|
||||
this.D = input.payload;
|
||||
const dC_total = math.multiply(math.add(dispersion, advection, reaction, transfer), time_step);
|
||||
|
||||
const stateNew = math.add(this.state, dC_total);
|
||||
this._applyBoundaryConditions(stateNew);
|
||||
|
||||
if (DEBUG) {
|
||||
assertNoNaN(dispersion, "dispersion");
|
||||
assertNoNaN(advection, "advection");
|
||||
assertNoNaN(reaction, "reaction");
|
||||
assertNoNaN(dC_total, "change in state");
|
||||
assertNoNaN(stateNew, "new state post BC");
|
||||
}
|
||||
|
||||
/**
|
||||
* Getter for effluent data.
|
||||
* @returns {object} Effluent data object (msg), defaults to inlet 0.
|
||||
*/
|
||||
get getEffluent() {
|
||||
return { topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: this.state.at(-1) }, timestamp: this.currentTime };
|
||||
this.state = this._arrayClip2Zero(stateNew);
|
||||
return stateNew;
|
||||
}
|
||||
|
||||
/**
|
||||
* Apply boundary conditions to the reactor state.
|
||||
* for inlet, apply generalised Danckwerts BC, if there is not flow, apply Neumann BC with no flux
|
||||
* for outlet, apply regular Danckwerts BC (Neumann BC with no flux)
|
||||
* @param {Array} state - Current reactor state without enforced BCs.
|
||||
*/
|
||||
_applyBoundaryConditions(state) {
|
||||
if (math.sum(this.Fs) > 0) { // Danckwerts BC
|
||||
const BC_C_in = math.multiply(1 / math.sum(this.Fs), [this.Fs], this.Cs_in)[0];
|
||||
const BC_dispersion_term = (1-this.alpha)*this.D*this.A/(math.sum(this.Fs)*this.d_x);
|
||||
state[0] = math.multiply(1/(1+BC_dispersion_term), math.add(BC_C_in, math.multiply(BC_dispersion_term, state[1])));
|
||||
} else {
|
||||
state[0] = state[1];
|
||||
}
|
||||
// Neumann BC (no flux)
|
||||
state[this.n_x-1] = state[this.n_x-2];
|
||||
}
|
||||
|
||||
updateState(newTime) {
|
||||
super.updateState(newTime);
|
||||
let Pe_local = this.d_x*math.sum(this.Fs)/(this.D*this.A)
|
||||
let Co_D = this.D*this.timeStep/(this.d_x*this.d_x);
|
||||
|
||||
(Pe_local >= 2) && console.warn(`Local Péclet number (${Pe_local}) is too high! Increase reactor resolution.`);
|
||||
(Co_D >= 0.5) && console.warn(`Courant number (${Co_D}) is too high! Reduce time step size.`);
|
||||
|
||||
if(DEBUG) {
|
||||
console.log("Inlet state max " + math.max(this.state[0]))
|
||||
console.log("Pe total " + this.length*math.sum(this.Fs)/(this.D*this.A));
|
||||
console.log("Pe local " + Pe_local);
|
||||
console.log("Co ad " + math.sum(this.Fs)*this.timeStep/(this.A*this.d_x));
|
||||
console.log("Co D " + Co_D);
|
||||
}
|
||||
/**
|
||||
* Create finite difference first derivative operator.
|
||||
* @param {boolean} central - Use central difference scheme if true, otherwise use upwind scheme.
|
||||
* @param {boolean} higher_order - Use higher order scheme if true, otherwise use first order scheme.
|
||||
* @returns {Array} - First derivative operator matrix.
|
||||
*/
|
||||
_makeDoperator(central = false, higher_order = false) { // create gradient operator
|
||||
if (higher_order) {
|
||||
if (central) {
|
||||
const I = math.resize(math.diag(Array(this.n_x).fill(1/12), -2), [this.n_x, this.n_x]);
|
||||
const A = math.resize(math.diag(Array(this.n_x).fill(-2/3), -1), [this.n_x, this.n_x]);
|
||||
const B = math.resize(math.diag(Array(this.n_x).fill(2/3), 1), [this.n_x, this.n_x]);
|
||||
const C = math.resize(math.diag(Array(this.n_x).fill(-1/12), 2), [this.n_x, this.n_x]);
|
||||
const D = math.add(I, A, B, C);
|
||||
const NearBoundary = Array(this.n_x).fill(0.0);
|
||||
NearBoundary[0] = -1/4;
|
||||
NearBoundary[1] = -5/6;
|
||||
NearBoundary[2] = 3/2;
|
||||
NearBoundary[3] = -1/2;
|
||||
NearBoundary[4] = 1/12;
|
||||
D[1] = NearBoundary;
|
||||
NearBoundary.reverse();
|
||||
D[this.n_x-2] = math.multiply(-1, NearBoundary);
|
||||
D[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
|
||||
D[this.n_x-1] = Array(this.n_x).fill(0);
|
||||
return D;
|
||||
} else {
|
||||
throw new Error("Upwind higher order method not implemented! Use central scheme instead.");
|
||||
}
|
||||
} else {
|
||||
const I = math.resize(math.diag(Array(this.n_x).fill(1 / (1+central)), central), [this.n_x, this.n_x]);
|
||||
const A = math.resize(math.diag(Array(this.n_x).fill(-1 / (1+central)), -1), [this.n_x, this.n_x]);
|
||||
const D = math.add(I, A);
|
||||
D[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
|
||||
D[this.n_x-1] = Array(this.n_x).fill(0);
|
||||
return D;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Tick the reactor state using explicit finite difference method.
|
||||
* @param {number} time_step - Time step for the simulation [d].
|
||||
* @returns {Array} - New reactor state.
|
||||
*/
|
||||
tick(time_step) {
|
||||
const dispersion = math.multiply(this.D / (this.d_x*this.d_x), this.D2_op, this.state);
|
||||
const advection = math.multiply(-1 * math.sum(this.Fs) / (this.A*this.d_x), this.D_op, this.state);
|
||||
const reaction = this.state.map((state_slice) => this.asm.compute_dC(state_slice, this.temperature));
|
||||
const transfer = Array.from(Array(this.n_x), () => new Array(NUM_SPECIES).fill(0));
|
||||
|
||||
if (isNaN(this.kla)) { // calculate OTR if kla is not NaN, otherwise use externally calculated OTR
|
||||
transfer.forEach((x) => { x[S_O_INDEX] = this.OTR; });
|
||||
} else {
|
||||
transfer.forEach((x, i) => { x[S_O_INDEX] = this._calcOTR(this.state[i][S_O_INDEX], this.temperature); });
|
||||
}
|
||||
|
||||
const dC_total = math.multiply(math.add(dispersion, advection, reaction, transfer), time_step);
|
||||
|
||||
const stateNew = math.add(this.state, dC_total);
|
||||
this._applyBoundaryConditions(stateNew);
|
||||
|
||||
if (DEBUG) {
|
||||
assertNoNaN(dispersion, "dispersion");
|
||||
assertNoNaN(advection, "advection");
|
||||
assertNoNaN(reaction, "reaction");
|
||||
assertNoNaN(dC_total, "change in state");
|
||||
assertNoNaN(stateNew, "new state post BC");
|
||||
}
|
||||
|
||||
this.state = this._arrayClip2Zero(stateNew);
|
||||
return stateNew;
|
||||
}
|
||||
|
||||
/**
|
||||
* Apply boundary conditions to the reactor state.
|
||||
* for inlet, apply generalised Danckwerts BC, if there is not flow, apply Neumann BC with no flux
|
||||
* for outlet, apply regular Danckwerts BC (Neumann BC with no flux)
|
||||
* @param {Array} state - Current reactor state without enforced BCs.
|
||||
*/
|
||||
_applyBoundaryConditions(state) {
|
||||
if (math.sum(this.Fs) > 0) { // Danckwerts BC
|
||||
const BC_C_in = math.multiply(1 / math.sum(this.Fs), [this.Fs], this.Cs_in)[0];
|
||||
const BC_dispersion_term = (1-this.alpha)*this.D*this.A/(math.sum(this.Fs)*this.d_x);
|
||||
state[0] = math.multiply(1/(1+BC_dispersion_term), math.add(BC_C_in, math.multiply(BC_dispersion_term, state[1])));
|
||||
} else {
|
||||
state[0] = state[1];
|
||||
}
|
||||
// Neumann BC (no flux)
|
||||
state[this.n_x-1] = state[this.n_x-2]
|
||||
}
|
||||
|
||||
/**
|
||||
* Create finite difference first derivative operator.
|
||||
* @param {boolean} central - Use central difference scheme if true, otherwise use upwind scheme.
|
||||
* @param {boolean} higher_order - Use higher order scheme if true, otherwise use first order scheme.
|
||||
* @returns {Array} - First derivative operator matrix.
|
||||
*/
|
||||
_makeDoperator(central = false, higher_order = false) { // create gradient operator
|
||||
if (higher_order) {
|
||||
if (central) {
|
||||
const I = math.resize(math.diag(Array(this.n_x).fill(1/12), -2), [this.n_x, this.n_x]);
|
||||
const A = math.resize(math.diag(Array(this.n_x).fill(-2/3), -1), [this.n_x, this.n_x]);
|
||||
const B = math.resize(math.diag(Array(this.n_x).fill(2/3), 1), [this.n_x, this.n_x]);
|
||||
const C = math.resize(math.diag(Array(this.n_x).fill(-1/12), 2), [this.n_x, this.n_x]);
|
||||
const D = math.add(I, A, B, C);
|
||||
const NearBoundary = Array(this.n_x).fill(0.0);
|
||||
NearBoundary[0] = -1/4;
|
||||
NearBoundary[1] = -5/6;
|
||||
NearBoundary[2] = 3/2;
|
||||
NearBoundary[3] = -1/2;
|
||||
NearBoundary[4] = 1/12;
|
||||
D[1] = NearBoundary;
|
||||
NearBoundary.reverse();
|
||||
D[this.n_x-2] = math.multiply(-1, NearBoundary);
|
||||
D[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
|
||||
D[this.n_x-1] = Array(this.n_x).fill(0);
|
||||
return D;
|
||||
} else {
|
||||
throw new Error("Upwind higher order method not implemented! Use central scheme instead.");
|
||||
}
|
||||
} else {
|
||||
const I = math.resize(math.diag(Array(this.n_x).fill(1 / (1+central)), central), [this.n_x, this.n_x]);
|
||||
const A = math.resize(math.diag(Array(this.n_x).fill(-1 / (1+central)), -1), [this.n_x, this.n_x]);
|
||||
const D = math.add(I, A);
|
||||
D[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
|
||||
D[this.n_x-1] = Array(this.n_x).fill(0);
|
||||
return D;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Create central finite difference second derivative operator.
|
||||
* @returns {Array} - Second derivative operator matrix.
|
||||
*/
|
||||
_makeD2operator() { // create the central second derivative operator
|
||||
const I = math.diag(Array(this.n_x).fill(-2), 0);
|
||||
const A = math.resize(math.diag(Array(this.n_x).fill(1), 1), [this.n_x, this.n_x]);
|
||||
const B = math.resize(math.diag(Array(this.n_x).fill(1), -1), [this.n_x, this.n_x]);
|
||||
const D2 = math.add(I, A, B);
|
||||
D2[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
|
||||
D2[this.n_x - 1] = Array(this.n_x).fill(0);
|
||||
return D2;
|
||||
}
|
||||
/**
|
||||
* Create central finite difference second derivative operator.
|
||||
* @returns {Array} - Second derivative operator matrix.
|
||||
*/
|
||||
_makeD2operator() { // create the central second derivative operator
|
||||
const I = math.diag(Array(this.n_x).fill(-2), 0);
|
||||
const A = math.resize(math.diag(Array(this.n_x).fill(1), 1), [this.n_x, this.n_x]);
|
||||
const B = math.resize(math.diag(Array(this.n_x).fill(1), -1), [this.n_x, this.n_x]);
|
||||
const D2 = math.add(I, A, B);
|
||||
D2[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
|
||||
D2[this.n_x - 1] = Array(this.n_x).fill(0);
|
||||
return D2;
|
||||
}
|
||||
}
|
||||
|
||||
module.exports = { Reactor_CSTR, Reactor_PFR };
|
||||
|
||||
Reference in New Issue
Block a user