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Enhance makeDoperator to support higher-order central gradient schemes and improve boundary handling

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p.vanderwilt
2025-06-30 12:50:02 +02:00
parent 8215c5ed9a
commit b2d32ba9f2
1 changed files with 26 additions and 4 deletions
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30
dependencies/reactor_class.js vendored
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@@ -201,10 +201,32 @@ class Reactor_PFR {
return new_state; return new_state;
} }
makeDoperator(central=false) { // create the upwind scheme gradient operator makeDoperator(central=false, higher_order=false) { // create gradient operator
const I = math.resize(math.diag(Array(this.n_x).fill(1/(1+central)), central), [this.n_x, this.n_x]); if (higher_order) {
const A = math.resize(math.diag(Array(this.n_x).fill(-1/(1+central)), -1), [this.n_x, this.n_x]); if (central) {
const D = math.add(I, A); 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);
const NearBoundary = Array(this.n_x).fill(0.0);
NearBoundary[1] = -25/12;
NearBoundary[2] = 4;
NearBoundary[3] = -3;
NearBoundary[4] = 4/3;
NearBoundary[5] = -1/4;
D[1] = NearBoundary;
NearBoundary.reverse();
D[this.n_x-2] = math.multiply(-1, NearBoundary)
} 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[0] = Array(this.n_x).fill(0); // set by BCs elsewhere
D[this.n_x-1] = Array(this.n_x).fill(0); D[this.n_x-1] = Array(this.n_x).fill(0);
return D; return D;