Rewrite for improved boundary condition

reactor.html

@@ -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 type="text/javascript">
     RED.nodes.registerType("reactor", {
-        category: "EVOLV",
+        category: "WWTP",
-        color: "#50a8d9",
+        color: "#c4cce0",
         defaults: {
             name: { value: "" },
             reactor_type: { value: "CSTR", required: true },
@@ -49,7 +39,7 @@
         outputs: 3,
         inputLabels: ["input"],
         outputLabels: ["process", "dbase", "parent"],
-        icon: "font-awesome/fa-flask",
+        icon: "font-awesome/fa-recycle",
         label: function() {
             return this.name || "Reactor";
         },

src/specificClass.js

@@ -12,6 +12,7 @@ const math = create(all, mathConfig);
 
 const S_O_INDEX = 0;
 const NUM_SPECIES = 13;
+const BC_PADDING = 2;
 const DEBUG = false;
 
 class Reactor {
@@ -27,6 +28,10 @@ class Reactor {
     this.measurements = new MeasurementContainer();
     this.upstreamReactor = null;
     this.childRegistrationUtils = new childRegistrationUtils(this); // Child registration utility
+    this.parent = []; // Gets assigned via child registration
+
+    this.upstreamReactor = null;
+    this.downstreamReactor = null;
 
     this.asm = new ASM3();
 
@@ -113,24 +118,23 @@ class Reactor {
     }
   }
 
-  _connectMeasurement(measurement) {
+  _connectMeasurement(measurementChild) {
-    if (!measurement) {
+    if (!measurementChild) {
       this.logger.warn("Invalid measurement provided.");
       return;
     }
 
     let position;
-    if (measurement.config.functionality.distance !== 'undefined') {
+    if (measurementChild.config.functionality.distance !== 'undefined') {
-      position = measurement.config.functionality.distance;
+      position = measurementChild.config.functionality.distance;
     } else {
-      position = measurement.config.functionality.positionVsParent;
+      position = measurementChild.config.functionality.positionVsParent;
     }
-    const measurementType = measurement.config.asset.type;
+    const measurementType = measurementChild.config.asset.type;
-    const key = `${measurementType}_${position}`;
     const eventName = `${measurementType}.measured.${position}`;
 
     // 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}`);
 
       // Store directly in parent's measurement container
@@ -145,15 +149,16 @@ class Reactor {
   }
 
 
-  _connectReactor(reactor) {
+  _connectReactor(reactorChild) {
-    if (!reactor) {
+    if (!reactorChild) {
       this.logger.warn("Invalid reactor provided.");
       return;
     }
 
-    this.upstreamReactor = reactor;
+    this.upstreamReactor = reactorChild;
+    reactorChild.downstreamReactor = this;
 
-    reactor.emitter.on("stateChange", (data) => {
+    reactorChild.emitter.on("stateChange", (data) => {
       this.logger.debug(`State change of upstream reactor detected.`);
       this.updateState(data);
     });
@@ -246,11 +251,15 @@ class Reactor_PFR extends Reactor {
 
     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_op = this._makeDoperator(true, true);
+    this.D_op = this._makeDoperator();
     assertNoNaN(this.D_op, "Derivative operator");
 
     this.D2_op = this._makeD2operator();
@@ -288,25 +297,26 @@ class Reactor_PFR extends Reactor {
    * @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);
+    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.temperrature));
+    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
-      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);
       }
     } 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);
       }
     }
 
-    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);
-    this._applyBoundaryConditions(stateNew);
 
     if (DEBUG) {
       assertNoNaN(dispersion, "dispersion");
@@ -335,57 +345,50 @@ class Reactor_PFR extends Reactor {
    * 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) {
+  _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 {
-      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])));
+      } else {
+        this.extendedState[BC_PADDING] = this.extendedState[BC_PADDING+1];
+      }
     }
-    // Neumann BC (no flux)
+
-    state[this.n_x-1] = state[this.n_x-2];
+    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);
+      }
+    }
+
+    this.state.forEach((row, i) => this.extendedState[i+BC_PADDING] = row);
   }
 
   /**
    * 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
+  _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;
-    }
   }
 
   /**
@@ -393,12 +396,13 @@ class Reactor_PFR extends Reactor {
    * @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 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);
-    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;
   }
 }