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@@ -1,13 +1,15 @@
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#include "Solver.hpp"
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void Solver::SolveExplicit(System& program, double tstop) const {
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std::ofstream ExplicitOut(_name_1);
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//ExplicitOut << "t x y T" << std::endl;
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for (double t = 0.0; t < tstop; t += delta) {
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/* <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD> X */
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/* Обработка узлов по оси X */
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for (int i = 1; i < program.LineX().size() - 1; i++) {
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std::vector<Node*> temperature;
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Node* cur = program.LineX()[i];
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while (cur) {
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/* <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD> */
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/* Проверка на существование узла */
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if (cur->r() && cur->r()->X() - cur->X() > program.step()) {
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temperature.push_back(cur);
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SolveLine(program, temperature);
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@@ -21,12 +23,12 @@ void Solver::SolveExplicit(System& program, double tstop) const {
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}
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SolveLine(program, temperature);
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}
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/* <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD> Y */
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/* Обработка узлов по оси Y */
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for (int i = 1; i < program.LineY().size() - 1; i++) {
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std::vector<Node*> temperature;
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Node* cur = program.LineY()[i];
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while (cur) {
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/* <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD> */
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/* Проверка на существование узла */
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if (cur->u() && cur->u()->Y() - cur->Y() > program.step()) {
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temperature.push_back(cur);
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SolveLine(program, temperature);
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@@ -42,7 +44,7 @@ void Solver::SolveExplicit(System& program, double tstop) const {
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}
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for (auto line : program.Nodes()) {
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for (auto node : line)
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ExplicitOut << node->X() << ' ' << node->Y() << ' ' << node->T() << '\n';
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ExplicitOut << t+1 << ' ' << node->X() << ' ' << node->Y() << ' ' << node->T() << '\n';
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}
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ExplicitOut << "\n\n";
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}
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@@ -50,15 +52,17 @@ void Solver::SolveExplicit(System& program, double tstop) const {
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void Solver::SolveImplicit(System& sys, double tstop) const {
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std::ofstream EmplicitOut(_name_2);
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//EmplicitOut << "t x y T" << std::endl;
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for (double t = 0.; t < tstop; t += delta) {
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for (auto line : sys.Nodes())
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for (auto node : line) {
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/* <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD> */
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/* Проверка на внутренний узел */
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if (!node->IsBound()) {
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/* Tx = T_right - 2T_current + T_left / delta_x ^ 2 */
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/* Ty = T_upper - 2T_current + T_down / delta_y ^ 2*/
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/* T_new = delta_t * a * (delta_x + delta_y) + T_current
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(<EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> a = 1) */
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(для удобства коээфициент a = 1) */
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double tx = (node->r()->T() - 2 * node->T() + node->l()->T()) / pow(sys.step(), 2);
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double ty = (node->u()->T() - 2 * node->T() + node->d()->T()) / pow(sys.step(), 2);
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@@ -68,7 +72,7 @@ void Solver::SolveImplicit(System& sys, double tstop) const {
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}
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for (auto line : sys.Nodes()) {
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for (auto node : line)
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EmplicitOut << node->X() << ' ' << node->Y() << ' ' << node->T() << '\n';
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EmplicitOut << t + 1 << ' ' << node->X() << ' ' << node->Y() << ' ' << node->T() << '\n';
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}
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EmplicitOut << "\n\n";
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}
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@@ -78,7 +82,7 @@ void Solver::SolveLine(System& sys, std::vector<Node*>& n) const {
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int size = n.size() - 2;
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double mu1 = n.front()->Dist(n[1]) / sys.step();
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double mu2 = n.back()->Dist(n[n.size() - 2]) / sys.step();
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/* <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD> */
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/* Защита от нуля */
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if (mu2 == 0.)
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mu2 = .1;
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double val2 = -(2 * sys.a1()) / (pow(sys.step(), 2)) - 1 / delta;
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46
src/main.cpp
46
src/main.cpp
@@ -15,32 +15,34 @@
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#define HOLE_Y 155.
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#define HOLE_RADIUS 50.
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#define CONDUCTIVITY 50. // Теплопроводность материала
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void visualize(std::ofstream& file, std::string filename, int time_end) {
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file << "set cbrange [" << 0 << ":" << 100 << "]" << std::endl;
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file << "set size ratio " << float(400) / 500 << "\nunset key\n" << "\nset palette defined (0 0 0 1, 0.25 0 1 1, 0.5 0 1 0, 0.75 1 1 0, 1 1 0 0)\n" << std::endl;
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file << "do for [i=0:" << time_end - 1 << "]{" << std::endl;
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file << "plot '" << filename << "' u 1:2:3 index i w points pt 5 palette" << std::endl;
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file << "plot '" << filename << "' u 2:3:4 index i w points pt 5 palette" << std::endl;
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file << "pause " << 0.000000001 << "}" << std::endl;
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file << "pause mouse";
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}
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int main()
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{
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int l = 3; //Bound conditions
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int t = 3;
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/* Граничные условия:
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1 - нагрев*/
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int l = 3;
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int t = 1;
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int r = 1;
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int b = 3;
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int b = 4;
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int r2 = 4;
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int s = 3;
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int s = 4;
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double step = 10; // Mesh step
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double step2 = 5; // Mesh step
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double step = 10;
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double step2 = 5;
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double time_step = 1;
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double time_end = 100;
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double C = 50.; // Material props
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std::map<std::string, double> plate{
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{"a", WIDTH / 2}, {"b", HEIGHT / 2}, {"h_x", 1 / WIDTH}, {"h_y", 1 / HEIGHT}
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};
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@@ -56,26 +58,26 @@ int main()
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obj.Add_Form("Arc", arc, true, r2);
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obj.Add_Form("Rectangle", plate, false, 1);
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System explicit10(obj, step, C);
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System explicit5(obj, step2, CONDUCTIVITY);
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System explicit10(obj, step, CONDUCTIVITY);
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System implicit5(obj, step2, CONDUCTIVITY);
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System implicit10(obj, step, CONDUCTIVITY);
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explicit5.DefineBounds(l, t, r, b);
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explicit10.DefineBounds(l, t, r, b);
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System explicit5(obj, step2, C);
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explicit5.DefineBounds(l, t, r, b);
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System implicit10(obj, step, C);
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implicit5.DefineBounds(l, t, r, b);
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implicit10.DefineBounds(l, t, r, b);
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System implicit5(obj, step2, C);
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implicit5.DefineBounds(l, t, r, b);
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Solver slv10("explicit10.txt", "implicit10.txt", time_step);
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slv10.SolveExplicit(explicit10, time_end);
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slv10.SolveImplicit(implicit10, time_end);
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Solver slv5("explicit5.txt", "implicit5.txt", time_step);
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Solver slv10("explicit10.txt", "implicit10.txt", time_step);
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slv5.SolveExplicit(explicit5, time_end);
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slv5.SolveImplicit(implicit5, time_end);
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slv10.SolveExplicit(explicit10, time_end);
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slv10.SolveImplicit(implicit10, time_end);
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std::ofstream script("es10.plt");
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visualize(script, "explicit10.txt", time_end);
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script.close();
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