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20 Commits

Author SHA1 Message Date
4578667a96 Merge pull request 'Recirculation Integration' (#4) from recirculation-integration into main
Reviewed-on: #4
2025-11-06 13:55:42 +00:00
3828e43c12 Refactor reactor node configuration to remove n_inlets and simplify inlet handling 2025-11-06 14:51:06 +01:00
e6923f2916 Refactor child registration and connection methods to handle invalid inputs and improve readability 2025-10-31 11:54:28 +01:00
4680b98418 minor variable name changes 2025-10-23 17:16:10 +02:00
eb787ec47f Minor bug fix and change in report level when encountering invalid children 2025-10-22 14:40:56 +02:00
HorriblePerson555
6de4f9ec3e Fix recirculation flow calculation to prevent negative flow rates and improve variable naming 2025-10-21 13:02:41 +02:00
HorriblePerson555
7b38c2f51a Refactor recirculation flow calculation to ensure non-negative flow rates and correct measurement position 2025-10-21 12:32:21 +02:00
HorriblePerson555
018215934e Fix recirculation flow measurement to use getCurrentValue and handle undefined values 2025-10-20 17:37:29 +02:00
HorriblePerson555
3a820df7f2 Non-functioning prototype with partial rotating machine integration 2025-10-20 16:45:53 +02:00
HorriblePerson555
670c4deacb Merge branch 'boundary-conditions' 2025-10-16 15:36:37 +02:00
HorriblePerson555
f44bac9aab Add warnings for reactor child positioning and grid sizing discrepancies 2025-10-16 15:30:51 +02:00
1dc9cd0031 Add dispersion constraint 2025-10-14 12:48:43 +02:00
2a520be33b Refactor measurement position assignment and update grid position calculation in Reactor classes to align with new generalFunctions 2025-10-10 11:27:55 +02:00
baecf2f599 Functioning code, requires improved sequencing 2025-10-02 17:39:31 +02:00
cd3a19e66f Fix boundary conditions for advection 2025-10-02 13:48:47 +02:00
3aea0e55c4 Rewrite for improved boundary condition 2025-10-01 16:50:48 +02:00
d9511dc3c7 Implement simple BCs 2025-09-30 15:36:25 +02:00
993482f8c0 Deal with mulitple parents and set downstreamReactor for improved boundary conditions 2025-09-29 16:58:46 +02:00
5f4ebdc2af Fix reference error and improve child variable naming 2025-09-29 15:45:07 +02:00
6c79d0ef9b Use improved boundary conditions for upstream and downstream reactors 2025-09-29 15:34:54 +02:00
3 changed files with 141 additions and 128 deletions

View File

@@ -1,19 +1,9 @@
<!--
| S88-niveau | Primair (blokkleur) | Tekstkleur |
| ---------------------- | ------------------- | ---------- |
| **Area** | `#0f52a5` | wit |
| **Process Cell** | `#0c99d9` | wit |
| **Unit** | `#50a8d9` | zwart |
| **Equipment (Module)** | `#86bbdd` | zwart |
| **Control Module** | `#a9daee` | zwart |
-->
<script src="/reactor/menu.js"></script> <script src="/reactor/menu.js"></script>
<script type="text/javascript"> <script type="text/javascript">
RED.nodes.registerType("reactor", { RED.nodes.registerType("reactor", {
category: "EVOLV", category: "WWTP",
color: "#50a8d9", color: "#c4cce0",
defaults: { defaults: {
name: { value: "" }, name: { value: "" },
reactor_type: { value: "CSTR", required: true }, reactor_type: { value: "CSTR", required: true },
@@ -21,7 +11,6 @@
length: { value: 0.}, length: { value: 0.},
resolution_L: { value: 0.}, resolution_L: { value: 0.},
alpha: {value: 0}, alpha: {value: 0},
n_inlets: { value: 1, required: true},
kla: { value: null }, kla: { value: null },
S_O_init: { value: 0., required: true }, S_O_init: { value: 0., required: true },
@@ -49,7 +38,7 @@
outputs: 3, outputs: 3,
inputLabels: ["input"], inputLabels: ["input"],
outputLabels: ["process", "dbase", "parent"], outputLabels: ["process", "dbase", "parent"],
icon: "font-awesome/fa-flask", icon: "font-awesome/fa-recycle",
label: function() { label: function() {
return this.name || "Reactor"; return this.name || "Reactor";
}, },
@@ -68,10 +57,6 @@
type:"num", type:"num",
types:["num"] types:["num"]
}); });
$("#node-input-n_inlets").typedInput({
type:"num",
types:["num"]
});
$("#node-input-length").typedInput({ $("#node-input-length").typedInput({
type:"num", type:"num",
types:["num"] types:["num"]
@@ -138,10 +123,6 @@
if (isNaN(volume) || volume <= 0) { if (isNaN(volume) || volume <= 0) {
RED.notify("Fluid volume not set correctly", {type: "error"}); RED.notify("Fluid volume not set correctly", {type: "error"});
} }
let n_inlets = parseInt($("#node-input-n_inlets").typedInput("value"));
if (isNaN(n_inlets) || n_inlets < 1) {
RED.notify("Number of inlets not set correctly", {type: "error"});
}
} }
}); });
</script> </script>
@@ -175,10 +156,6 @@
<input type="text" id="node-input-alpha"> <input type="text" id="node-input-alpha">
</div> </div>
</div> </div>
<div class="form-row">
<label for="node-input-n_inlets"><i class="fa fa-tag"></i> Number of inlets</label>
<input type="text" id="node-input-n_inlets" placeholder="#">
</div>
<h3> Internal mass transfer calculation (optional) </h3> <h3> Internal mass transfer calculation (optional) </h3>
<div class="form-row"> <div class="form-row">
<label for="node-input-kla"><i class="fa fa-tag"></i> kLa [d-1]</label> <label for="node-input-kla"><i class="fa fa-tag"></i> kLa [d-1]</label>

View File

@@ -88,7 +88,6 @@ class nodeClass {
length: parseFloat(uiConfig.length), length: parseFloat(uiConfig.length),
resolution_L: parseInt(uiConfig.resolution_L), resolution_L: parseInt(uiConfig.resolution_L),
alpha: parseFloat(uiConfig.alpha), alpha: parseFloat(uiConfig.alpha),
n_inlets: parseInt(uiConfig.n_inlets),
kla: parseFloat(uiConfig.kla), kla: parseFloat(uiConfig.kla),
initialState: [ initialState: [
parseFloat(uiConfig.S_O_init), parseFloat(uiConfig.S_O_init),

View File

@@ -1,5 +1,5 @@
const ASM3 = require('./reaction_modules/asm3_class.js'); const ASM3 = require('./reaction_modules/asm3_class.js');
const { create, all, isArray } = require('mathjs'); const { create, all, isArray, i } = require('mathjs');
const { assertNoNaN } = require('./utils.js'); const { assertNoNaN } = require('./utils.js');
const { childRegistrationUtils, logger, MeasurementContainer } = require('generalFunctions'); const { childRegistrationUtils, logger, MeasurementContainer } = require('generalFunctions');
const EventEmitter = require('events'); const EventEmitter = require('events');
@@ -12,7 +12,9 @@ const math = create(all, mathConfig);
const S_O_INDEX = 0; const S_O_INDEX = 0;
const NUM_SPECIES = 13; const NUM_SPECIES = 13;
const BC_PADDING = 2;
const DEBUG = false; const DEBUG = false;
const DAY2MS = 1000 * 60 * 60 * 24;
class Reactor { class Reactor {
/** /**
@@ -28,12 +30,16 @@ class Reactor {
this.upstreamReactor = null; this.upstreamReactor = null;
this.childRegistrationUtils = new childRegistrationUtils(this); // Child registration utility this.childRegistrationUtils = new childRegistrationUtils(this); // Child registration utility
this.upstreamReactor = null;
this.downstreamReactor = null;
this.returnPump = null;
this.asm = new ASM3(); this.asm = new ASM3();
this.volume = config.volume; // fluid volume reactor [m3] this.volume = config.volume; // fluid volume reactor [m3]
this.Fs = Array(config.n_inlets).fill(0); // fluid debits per inlet [m3 d-1] this.Fs = [0]; // fluid debits per inlet [m3 d-1]
this.Cs_in = Array.from(Array(config.n_inlets), () => new Array(NUM_SPECIES).fill(0)); // composition influents this.Cs_in = [Array(NUM_SPECIES).fill(0)]; // composition influents
this.OTR = 0.0; // oxygen transfer rate [g O2 d-1 m-3] this.OTR = 0.0; // oxygen transfer rate [g O2 d-1 m-3]
this.temperature = 20; // temperature [C] this.temperature = 20; // temperature [C]
@@ -41,7 +47,7 @@ class Reactor {
this.currentTime = Date.now(); // milliseconds since epoch [ms] this.currentTime = Date.now(); // milliseconds since epoch [ms]
this.timeStep = 1 / (24*60*60) * this.config.timeStep; // time step in seconds, converted to days. this.timeStep = 1 / (24*60*60) * this.config.timeStep; // time step in seconds, converted to days.
this.speedUpFactor = 60; // speed up factor for simulation, 60 means 1 minute per simulated second this.speedUpFactor = 100; // speed up factor for simulation, 60 means 1 minute per simulated second
} }
/** /**
@@ -49,9 +55,15 @@ class Reactor {
* @param {object} input - Input object (msg) containing payload with inlet index, flow rate, and concentrations. * @param {object} input - Input object (msg) containing payload with inlet index, flow rate, and concentrations.
*/ */
set setInfluent(input) { set setInfluent(input) {
let index_in = input.payload.inlet; const i_in = input.payload.inlet;
this.Fs[index_in] = input.payload.F; if (this.Fs.length <= i_in) {
this.Cs_in[index_in] = input.payload.C; this.logger.debug(`Adding new inlet index ${i_in}.`);
this.Fs.push(0);
this.Cs_in.push(Array(NUM_SPECIES).fill(0));
this.setInfluent = input;
}
this.Fs[i_in] = input.payload.F;
this.Cs_in[i_in] = input.payload.C;
} }
/** /**
@@ -67,10 +79,17 @@ class Reactor {
* @returns {object} Effluent data object (msg), defaults to inlet 0. * @returns {object} Effluent data object (msg), defaults to inlet 0.
*/ */
get getEffluent() { // getter for Effluent, defaults to inlet 0 get getEffluent() { // getter for Effluent, defaults to inlet 0
if (isArray(this.state.at(-1))) { const Cs = isArray(this.state.at(-1)) ? this.state.at(-1) : this.state;
return { topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: this.state.at(-1) }, timestamp: this.currentTime }; const effluent = [{ topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: Cs }, timestamp: this.currentTime }];
if (this.returnPump) {
const recirculationFlow = this.returnPump.measurements.type("flow").variant("measured").position("atEquipment").getCurrentValue();
// constrain flow to prevent negatives
const F_main = Math.max(effluent[0].payload.F - recirculationFlow, 0);
const F_sidestream = effluent[0].payload.F < recirculationFlow ? effluent[0].payload.F : recirculationFlow;
effluent[0].payload.F = F_main;
effluent.push({ topic: "Fluent", payload: { inlet: 1, F: F_sidestream, C: Cs }, timestamp: this.currentTime });
} }
return { topic: "Fluent", payload: { inlet: 0, F: math.sum(this.Fs), C: this.state }, timestamp: this.currentTime }; return effluent;
} }
/** /**
@@ -98,39 +117,37 @@ class Reactor {
} }
registerChild(child, softwareType) { registerChild(child, softwareType) {
if(!child) {
this.logger.error(`Invalid ${softwareType} child provided.`);
return;
}
switch (softwareType) { switch (softwareType) {
case "measurement": case "measurement":
this.logger.debug(`Registering measurement child.`); this.logger.debug(`Registering measurement child...`);
this._connectMeasurement(child); this._connectMeasurement(child);
break; break;
case "reactor": case "reactor":
this.logger.debug(`Registering reactor child.`); this.logger.debug(`Registering reactor child...`);
this._connectReactor(child); this._connectReactor(child);
break; break;
case "machine":
this.logger.debug(`Registering machine child...`);
this._connectMachine(child);
break;
default: default:
this.logger.error(`Unrecognized softwareType: ${softwareType}`); this.logger.error(`Unrecognized softwareType: ${softwareType}`);
} }
} }
_connectMeasurement(measurement) { _connectMeasurement(measurementChild) {
if (!measurement) { const position = measurementChild.config.functionality.positionVsParent;
this.logger.warn("Invalid measurement provided."); const measurementType = measurementChild.config.asset.type;
return;
}
let position;
if (measurement.config.functionality.distance !== 'undefined') {
position = measurement.config.functionality.distance;
} else {
position = measurement.config.functionality.positionVsParent;
}
const measurementType = measurement.config.asset.type;
const key = `${measurementType}_${position}`;
const eventName = `${measurementType}.measured.${position}`; const eventName = `${measurementType}.measured.${position}`;
// Register event listener for measurement updates // Register event listener for measurement updates
measurement.measurements.emitter.on(eventName, (eventData) => { measurementChild.measurements.emitter.on(eventName, (eventData) => {
this.logger.debug(`${position} ${measurementType} from ${eventData.childName}: ${eventData.value} ${eventData.unit}`); this.logger.debug(`${position} ${measurementType} from ${eventData.childName}: ${eventData.value} ${eventData.unit}`);
// Store directly in parent's measurement container // Store directly in parent's measurement container
@@ -145,20 +162,31 @@ class Reactor {
} }
_connectReactor(reactor) { _connectReactor(reactorChild) {
if (!reactor) { if (reactorChild.config.functionality.positionVsParent != "upstream") {
this.logger.warn("Invalid reactor provided."); this.logger.warn("Reactor children of reactors should always be upstream.");
return;
} }
this.upstreamReactor = reactor; if (math.abs(reactorChild.d_x - this.d_x) / this.d_x < 0.025) {
this.logger.warn("Significant grid sizing discrepancies between adjacent reactors! Change resolutions to match reactors grid step, or implement boundary value interpolation.");
}
reactor.emitter.on("stateChange", (data) => { // set upstream and downstream reactor variable in current and child nodes respectively for easy access
this.upstreamReactor = reactorChild;
reactorChild.downstreamReactor = this;
reactorChild.emitter.on("stateChange", (eventData) => {
this.logger.debug(`State change of upstream reactor detected.`); this.logger.debug(`State change of upstream reactor detected.`);
this.updateState(data); this.updateState(eventData);
}); });
} }
_connectMachine(machineChild) {
if (machineChild.config.functionality.positionVsParent == "downstream") {
machineChild.upstreamSource = this;
this.returnPump = machineChild;
}
}
_updateMeasurement(measurementType, value, position, context) { _updateMeasurement(measurementType, value, position, context) {
this.logger.debug(`---------------------- updating ${measurementType} ------------------ `); this.logger.debug(`---------------------- updating ${measurementType} ------------------ `);
@@ -179,20 +207,18 @@ class Reactor {
* @param {number} newTime - New time to update reactor state to, in milliseconds since epoch. * @param {number} newTime - New time to update reactor state to, in milliseconds since epoch.
*/ */
updateState(newTime = Date.now()) { // expect update with timestamp updateState(newTime = Date.now()) { // expect update with timestamp
const day2ms = 1000 * 60 * 60 * 24;
if (this.upstreamReactor) { if (this.upstreamReactor) {
this.setInfluent = this.upstreamReactor.getEffluent; this.setInfluent = this.upstreamReactor.getEffluent[0]; // grab main effluent upstream reactor
} }
let n_iter = Math.floor(this.speedUpFactor * (newTime-this.currentTime) / (this.timeStep*day2ms)); let n_iter = Math.floor(this.speedUpFactor * (newTime-this.currentTime) / (this.timeStep*DAY2MS));
if (n_iter) { if (n_iter) {
let n = 0; let n = 0;
while (n < n_iter) { while (n < n_iter) {
this.tick(this.timeStep); this.tick(this.timeStep);
n += 1; n += 1;
} }
this.currentTime += n_iter * this.timeStep * day2ms / this.speedUpFactor; this.currentTime += n_iter * this.timeStep * DAY2MS / this.speedUpFactor;
this.emitter.emit("stateChange", this.currentTime); this.emitter.emit("stateChange", this.currentTime);
} }
} }
@@ -246,11 +272,15 @@ class Reactor_PFR extends Reactor {
this.alpha = config.alpha; this.alpha = config.alpha;
this.state = Array.from(Array(this.n_x), () => config.initialState.slice()) this.state = Array.from(Array(this.n_x), () => config.initialState.slice());
this.extendedState = Array.from(Array(this.n_x + 2*BC_PADDING), () => new Array(NUM_SPECIES).fill(0));
// initialise extended state
this.state.forEach((row, i) => this.extendedState[i+BC_PADDING] = row);
this.D = 0.0; // axial dispersion [m2 d-1] this.D = 0.0; // axial dispersion [m2 d-1]
this.D_op = this._makeDoperator(true, true); this.D_op = this._makeDoperator();
assertNoNaN(this.D_op, "Derivative operator"); assertNoNaN(this.D_op, "Derivative operator");
this.D2_op = this._makeD2operator(); this.D2_op = this._makeD2operator();
@@ -262,15 +292,16 @@ class Reactor_PFR extends Reactor {
* @param {object} input - Input object (msg) containing payload with dispersion value [m2 d-1]. * @param {object} input - Input object (msg) containing payload with dispersion value [m2 d-1].
*/ */
set setDispersion(input) { set setDispersion(input) {
this.D = input.payload; this.D = this._constrainDispersion(input.payload);
} }
updateState(newTime) { updateState(newTime) {
super.updateState(newTime); super.updateState(newTime);
let Pe_local = this.d_x*math.sum(this.Fs)/(this.D*this.A) // let Pe_local = this.d_x*math.sum(this.Fs)/(this.D*this.A)
this.D = this._constrainDispersion(this.D);
let Co_D = this.D*this.timeStep/(this.d_x*this.d_x); let Co_D = this.D*this.timeStep/(this.d_x*this.d_x);
(Pe_local >= 2) && this.logger.warn(`Local Péclet number (${Pe_local}) is too high! Increase reactor resolution.`); // (Pe_local >= 2) && this.logger.warn(`Local Péclet number (${Pe_local}) is too high! Increase reactor resolution.`);
(Co_D >= 0.5) && this.logger.warn(`Courant number (${Co_D}) is too high! Reduce time step size.`); (Co_D >= 0.5) && this.logger.warn(`Courant number (${Co_D}) is too high! Reduce time step size.`);
if(DEBUG) { if(DEBUG) {
@@ -288,25 +319,26 @@ class Reactor_PFR extends Reactor {
* @returns {Array} - New reactor state. * @returns {Array} - New reactor state.
*/ */
tick(time_step) { tick(time_step) {
const dispersion = math.multiply(this.D / (this.d_x*this.d_x), this.D2_op, this.state); this._applyBoundaryConditions();
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 dispersion = math.multiply(this.D / (this.d_x*this.d_x), this.D2_op, this.extendedState);
const transfer = Array.from(Array(this.n_x), () => new Array(NUM_SPECIES).fill(0)); const advection = math.multiply(-1 * math.sum(this.Fs) / (this.A*this.d_x), this.D_op, this.extendedState);
const reaction = this.extendedState.map((state_slice) => this.asm.compute_dC(state_slice, this.temperature));
const transfer = Array.from(Array(this.n_x+2*BC_PADDING), () => new Array(NUM_SPECIES).fill(0));
if (isNaN(this.kla)) { // calculate OTR if kla is not NaN, otherwise use externally calculated OTR if (isNaN(this.kla)) { // calculate OTR if kla is not NaN, otherwise use externally calculated OTR
for (let i = 1; i < this.n_x - 1; i++) { for (let i = BC_PADDING+1; i < BC_PADDING+this.n_x - 1; i++) {
transfer[i][S_O_INDEX] = this.OTR * this.n_x/(this.n_x-2); transfer[i][S_O_INDEX] = this.OTR * this.n_x/(this.n_x-2);
} }
} else { } else {
for (let i = 1; i < this.n_x - 1; i++) { for (let i = BC_PADDING+1; i < BC_PADDING+this.n_x - 1; i++) {
transfer[i][S_O_INDEX] = this._calcOTR(this.state[i][S_O_INDEX], this.temperature) * this.n_x/(this.n_x-2); transfer[i][S_O_INDEX] = this._calcOTR(this.extendedState[i][S_O_INDEX], this.temperature) * this.n_x/(this.n_x-2);
} }
} }
const dC_total = math.multiply(math.add(dispersion, advection, reaction, transfer), time_step); const dC_total = math.multiply(math.add(dispersion, advection, reaction, transfer).slice(BC_PADDING, this.n_x+BC_PADDING), time_step);
const stateNew = math.add(this.state, dC_total); const stateNew = math.add(this.state, dC_total);
this._applyBoundaryConditions(stateNew);
if (DEBUG) { if (DEBUG) {
assertNoNaN(dispersion, "dispersion"); assertNoNaN(dispersion, "dispersion");
@@ -317,13 +349,14 @@ class Reactor_PFR extends Reactor {
} }
this.state = this._arrayClip2Zero(stateNew); this.state = this._arrayClip2Zero(stateNew);
this.state.forEach((row, i) => this.extendedState[i+BC_PADDING] = row);
return stateNew; return stateNew;
} }
_updateMeasurement(measurementType, value, position, context) { _updateMeasurement(measurementType, value, position, context) {
switch(measurementType) { switch(measurementType) {
case "quantity (oxygen)": case "quantity (oxygen)":
let grid_pos = Math.round(position / this.config.length * this.n_x); let grid_pos = Math.round(context.distance / this.config.length * this.n_x);
this.state[grid_pos][S_O_INDEX] = value; // naive approach for reconciling measurements and simulation this.state[grid_pos][S_O_INDEX] = value; // naive approach for reconciling measurements and simulation
break; break;
default: default:
@@ -335,57 +368,51 @@ class Reactor_PFR extends Reactor {
* Apply boundary conditions to the reactor state. * 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 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) * for outlet, apply regular Danckwerts BC (Neumann BC with no flux)
* @param {Array} state - Current reactor state without enforced BCs.
*/ */
_applyBoundaryConditions(state) { _applyBoundaryConditions() {
if (math.sum(this.Fs) > 0) { // Danckwerts BC if (this.upstreamReactor) {
const BC_C_in = math.multiply(1 / math.sum(this.Fs), [this.Fs], this.Cs_in)[0]; for (let i = 0; i < BC_PADDING; i++) {
const BC_dispersion_term = (1-this.alpha)*this.D*this.A/(math.sum(this.Fs)*this.d_x); this.extendedState[i] = this.upstreamReactor.state.at(i-BC_PADDING);
state[0] = math.multiply(1/(1+BC_dispersion_term), math.add(BC_C_in, math.multiply(BC_dispersion_term, state[1]))); }
} else { } else {
state[0] = state[1]; 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);
this.extendedState[BC_PADDING] = math.multiply(1/(1+BC_dispersion_term), math.add(BC_C_in, math.multiply(BC_dispersion_term, this.extendedState[BC_PADDING+1])));
this.extendedState[BC_PADDING-1] = math.add(math.multiply(2, this.extendedState[BC_PADDING]), math.multiply(-2, this.extendedState[BC_PADDING+2]), this.extendedState[BC_PADDING+3]);
} else {
for (let i = 0; i < BC_PADDING; i++) {
this.extendedState[i] = this.extendedState[BC_PADDING];
}
}
}
if (this.downstreamReactor) {
for (let i = 0; i < BC_PADDING; i++) {
this.extendedState[this.n_x+BC_PADDING+i] = this.downstreamReactor.state[i];
}
} else {
// Neumann BC (no flux)
for (let i = 0; i < BC_PADDING; i++) {
this.extendedState[BC_PADDING+this.n_x+i] = this.extendedState.at(-1-BC_PADDING);
}
} }
// Neumann BC (no flux)
state[this.n_x-1] = state[this.n_x-2];
} }
/** /**
* Create finite difference first derivative operator. * 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. * @returns {Array} - First derivative operator matrix.
*/ */
_makeDoperator(central = false, higher_order = false) { // create gradient operator _makeDoperator() { // create gradient operator
if (higher_order) { const D_size = this.n_x+2*BC_PADDING;
if (central) { const I = math.resize(math.diag(Array(D_size).fill(1/12), -2), [D_size, D_size]);
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(D_size).fill(-2/3), -1), [D_size, D_size]);
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(D_size).fill(2/3), 1), [D_size, D_size]);
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(D_size).fill(-1/12), 2), [D_size, D_size]);
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 D = math.add(I, A, B, C); // set by BCs elsewhere
const NearBoundary = Array(this.n_x).fill(0.0); D.forEach((row, i) => i < BC_PADDING || i >= this.n_x+BC_PADDING ? row.fill(0) : row);
NearBoundary[0] = -1/4; return D;
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;
}
} }
/** /**
@@ -393,14 +420,24 @@ class Reactor_PFR extends Reactor {
* @returns {Array} - Second derivative operator matrix. * @returns {Array} - Second derivative operator matrix.
*/ */
_makeD2operator() { // create the central second derivative operator _makeD2operator() { // create the central second derivative operator
const I = math.diag(Array(this.n_x).fill(-2), 0); const D_size = this.n_x+2*BC_PADDING;
const A = math.resize(math.diag(Array(this.n_x).fill(1), 1), [this.n_x, this.n_x]); const I = math.diag(Array(D_size).fill(-2), 0);
const B = math.resize(math.diag(Array(this.n_x).fill(1), -1), [this.n_x, this.n_x]); const A = math.resize(math.diag(Array(D_size).fill(1), 1), [D_size, D_size]);
const B = math.resize(math.diag(Array(D_size).fill(1), -1), [D_size, D_size]);
const D2 = math.add(I, A, B); const D2 = math.add(I, A, B);
D2[0] = Array(this.n_x).fill(0); // set by BCs elsewhere // set by BCs elsewhere
D2[this.n_x - 1] = Array(this.n_x).fill(0); D2.forEach((row, i) => i < BC_PADDING || i >= this.n_x+BC_PADDING ? row.fill(0) : row);
return D2; return D2;
} }
_constrainDispersion(D) {
const Dmin = math.sum(this.Fs) * this.d_x / (1.999 * this.A);
if (D < Dmin) {
this.logger.warn(`Local Péclet number too high! Constraining given dispersion (${D}) to minimal value (${Dmin}).`);
return Dmin;
}
return D;
}
} }
module.exports = { Reactor_CSTR, Reactor_PFR }; module.exports = { Reactor_CSTR, Reactor_PFR };