From bb74fc86c212e8545a79e485146c1beaae0174d5 Mon Sep 17 00:00:00 2001 From: "p.vanderwilt" Date: Fri, 27 Jun 2025 16:56:37 +0200 Subject: [PATCH] Refactor dispersion and boundary condition handling in Reactor_PFR --- dependencies/reactor_class.js | 49 +++++++++++++++++++---------------- 1 file changed, 27 insertions(+), 22 deletions(-) diff --git a/dependencies/reactor_class.js b/dependencies/reactor_class.js index adf744f..94844ee 100644 --- a/dependencies/reactor_class.js +++ b/dependencies/reactor_class.js @@ -103,7 +103,7 @@ class Reactor_PFR { this.timeStep = 1/(24*60*15); // time step [d] this.speedUpFactor = 60; - this.D_op = this.makeDoperator(); + this.D_op = this.makeDoperator(false); this.D2_op = this.makeD2operator(); } @@ -111,6 +111,8 @@ class Reactor_PFR { let index_in = input.payload.inlet; this.Fs[index_in] = input.payload.F; this.Cs_in[index_in] = input.payload.C; + // console.log("Pe " + this.d_x*math.sum(this.Fs)/(this.D*this.A)); + // console.log("Co " + math.sum(this.Fs)*this.timeStep/(this.A*this.d_x)); } set setOTR(input) { // setter for OTR (WIP) [g O2 d-1] @@ -150,7 +152,6 @@ class Reactor_PFR { 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)); - reaction[0] = Array(13).fill(0.0); const transfer = Array.from(Array(this.n_x), () => new Array(13).fill(0.0)); if (isNaN(this.kla)) { // calculate OTR if kla is not NaN, otherwise use externally calculated OTR @@ -159,41 +160,45 @@ class Reactor_PFR { transfer.forEach((x, i) => { x[0] = this.calcOTR(this.state[i][0]); }); } - transfer[0][0] = 0; + const dC_total = math.multiply(math.add(dispersion, advection, reaction, transfer), time_step); + const new_state = math.add(this.state, dC_total); + // apply boundary conditions 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_C_in = math.multiply(1/math.sum(this.Fs), [this.Fs], this.Cs_in)[0]; const BC_gradient = Array(this.n_x).fill(0.0); BC_gradient[0] = -1; BC_gradient[1] = 1; - const BC_dispersion = math.multiply(this.D * this.A / (math.sum(this.Fs)*this.d_x), [BC_gradient], this.state)[0]; - this.state[0] = math.add(BC_C_in, BC_dispersion); - console.log(BC_dispersion); + const BC_dispersion = math.multiply(this.D * this.A / (math.sum(this.Fs)*this.d_x), [BC_gradient], new_state)[0]; + new_state[0] = math.add(BC_C_in, BC_dispersion).map(val => val < 0 ? 0 : val); + console.log(new_state[0]) + } else { // Neumann BC (no flux) + new_state[0] = new_state[1]; } + // Neumann BC (no flux) + new_state[this.n_x-1] = new_state[this.n_x-2] - const dC_total = math.multiply(math.add(dispersion, advection, reaction, transfer), time_step); - - // clip value element-wise to each subarray to avoid negative concentrations - this.state = math.add(this.state, dC_total).map(row => row.map(val => val < 0 ? 0 : val)); - return this.state; + this.state = new_state.map(row => row.map(val => val < 0 ? 0 : val)); // apply the new state + return new_state; } - makeDoperator() { // create the upwind scheme gradient operator - const I = math.diag(Array(this.n_x).fill(1), 0); + makeDoperator(central=false) { // create the upwind scheme gradient operator + const I = math.resize(math.diag(Array(this.n_x).fill(1), central), [this.n_x, this.n_x]); const A = math.resize(math.diag(Array(this.n_x).fill(-1), -1), [this.n_x, this.n_x]); - I[0][0] = 0; - I[0][1] = -1; - return math.add(I, A); + 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; } 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]); - I[0][0] = 0; - I[0][1] = -1; - I[0][0] = -1; // Dichelet boundary condition at outlet - return math.add(I, A, B); + 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; } } @@ -211,4 +216,4 @@ class Reactor_PFR { // N += 1; // } -module.exports = {Reactor_CSTR, Reactor_PFR}; \ No newline at end of file +module.exports = { Reactor_CSTR, Reactor_PFR }; \ No newline at end of file