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[[0.0], [0.0016630387635422296], [0.0023518919741536033]]}, {"info": {"solver-type": "lineal-transient", "time": 2.4499999999999993, "dt": 0.05}, "U": [[0.0], [0.001460283570125253], [0.0020651528297817353]]}, {"info": {"solver-type": "lineal-transient", "time": 2.499999999999999, "dt": 0.05}, "U": [[0.0], [0.0012822479859914617], [0.0018133724921147116]]}], "properties": {"verbose": true, "name": "", "problem": "Heat1DTransient", "A": [1, 1], "P": [1, 1], "ku": [1, 1], "beta": [0, 0], "Ta": 0, "q": [0.0, 0.0], "duration": 0.708307, "description": "FEM problem using the 1D Heat transfer formulation.,DOF: 3,Elements: 2,Solver: lineal-transient,EBC: 1,NBC: 0"}} \ No newline at end of file diff --git a/Examples/example51.py b/Examples/example51.py index e5092d3..28775f9 100644 --- a/Examples/example51.py +++ b/Examples/example51.py @@ -1,19 +1,80 @@ if __name__ == '__main__': from FEM.Geometry import Lineal from FEM.Heat1D import Heat1DTransient + import matplotlib.pyplot as plt + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 - L = 0.1 - A = 0.001*0.005 - P = 2*(0.005+0.001) - k = 385 - beta = 25 - Ta = 20 - T0 = 100 + n = 1 + geometria = Lineal(L, n, 2) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + O.postProcess(node=-1) - n = 40 + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 1 + geometria = Lineal(L, n, 2) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.0) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + O.postProcess(node=-1, ax=plt.gca()) + plt.gca().get_lines()[-1].set_color("yellow") + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 2 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + O.postProcess(node=-1, ax=plt.gca()) + plt.gca().get_lines()[-1].set_color("red") + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 2 geometria = Lineal(L, n, 1) - O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=True) - O.cbe = [[0, T0]] - O.cbe = [[-1, 0]] - O.solve(t0=0, tf=10, steps=100) - O.exportJSON("Examples/Mesh_tests/Example51.json") + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.0) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + O.postProcess(node=-1, ax=plt.gca()) + plt.gca().get_lines()[-1].set_color("blue") + # O.exportJSON("Examples/Mesh_tests/Example51.json") + plt.xlim([0, 2.5]) + plt.ylim([0, 1.5]) + plt.legend(["1 O2, a=0.5", "1 O2, a=0.0", "2 O1, a=0.5", "2 O2, a=0.0"]) + plt.grid() + plt.show() diff --git a/Examples/example52.py b/Examples/example52.py new file mode 100644 index 0000000..d4eb940 --- /dev/null +++ b/Examples/example52.py @@ -0,0 +1,165 @@ +if __name__ == '__main__': + from FEM.Geometry import Lineal + from FEM.Heat1D import Heat1DTransient + import matplotlib.pyplot as plt + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 1 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.0) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U1L0 = O.postProcess(node=-1) + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 1 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(1.0) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U1L1 = O.postProcess(node=-1, ax=plt.gca()) + plt.gca().get_lines()[-1].set_color("yellow") + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 1 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U1L0_5 = O.postProcess(node=-1, ax=plt.gca()) + plt.gca().get_lines()[-1].set_color("red") + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 2 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U2L0_5 = O.postProcess(node=-1, ax=plt.gca()) + plt.gca().get_lines()[-1].set_color("blue") + # O.exportJSON("Examples/Mesh_tests/Example51.json") + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 4 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U4L0_5 = O.postProcess(node=-1, ax=plt.gca()) + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 8 + geometria = Lineal(L, n, 1) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U8L0_5 = O.postProcess(node=-1, ax=plt.gca()) + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 1 + geometria = Lineal(L, n, 2) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U1Q0_5 = O.postProcess(node=-1, ax=plt.gca()) + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 2 + geometria = Lineal(L, n, 2) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U2Q0_5 = O.postProcess(node=-1, ax=plt.gca()) + + L = 1 + A = 1 + P = 1 + k = 1 + beta = 0 + Ta = 0 + T0 = 0 + + n = 4 + geometria = Lineal(L, n, 2) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(1.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=6, steps=50, dt=0.05, plot=False) + X, U4Q0_5 = O.postProcess(node=-1, ax=plt.gca()) + +import numpy as np +SOLUTIONS = np.array([U1L0, U1L1, U1L0_5, U2L0_5, U4L0_5, + U8L0_5, U1Q0_5, U2Q0_5, U4Q0_5]).T +np.savetxt("temperaturas_transient.csv", SOLUTIONS[0], delimiter=",", fmt="%s") diff --git a/Examples/example53.py b/Examples/example53.py new file mode 100644 index 0000000..068a82d --- /dev/null +++ b/Examples/example53.py @@ -0,0 +1,22 @@ +if __name__ == '__main__': + from FEM.Geometry import Lineal + from FEM.Heat1D import Heat1DTransient + import matplotlib.pyplot as plt + L = 0.1 + A = 0.001*0.005 + P = 2*(0.005+0.001) + k = 385 + beta = 25 + Ta = 20 + T0 = 100 + # TODO hay algo mal + + n = 30 + geometria = Lineal(L, n, 2) + geometria.cbe = [[0, T0]] + O = Heat1DTransient(geometria, A, P, k, beta, Ta, verbose=False) + O.set_initial_condition(0.0) + O.set_alpha(0.5) + O.solve(t0=0, tf=10, steps=400, plot=False) + O.postProcess() + plt.show() diff --git a/src/FEM/Core.py b/src/FEM/Core.py index 5ef3111..9e63188 100644 --- a/src/FEM/Core.py +++ b/src/FEM/Core.py @@ -303,8 +303,6 @@ def __init__(self, geometry: Geometry, solver: Solver = None, verbose: bool = Fa # Initial condition for all gdls in domain self.u0: list[float] = [0.0]*self.ngdl - self.apply_initial_condition() - def set_initial_condition(self, ic: Union[list[float], Callable[[], float], float]) -> None: if isinstance(ic, float): self.u0 = [ic]*self.ngdl @@ -312,15 +310,14 @@ def set_initial_condition(self, ic: Union[list[float], Callable[[], float], floa self.u0 = ic(self.geometry.gdls) elif isinstance(ic, list): self.u0 = ic - self.apply_initial_condition() - def apply_initial_condition(self): + def apply_initial_condition(self, t0, dt): self.U[:, 0] = self.u0 for i in self.cbe: self.U[int(i[0]), 0] = i[1] self.solver.solutions.append(self.U.copy()) self.solver.solutions_info.append( - {'solver-type': self.solver.type, "time": "Initial time", "dt": "Not defined"}) + {'solver-type': self.solver.type, "time": t0, "dt": dt}) self.solver.setSolution(-1, True) def ensembling(self) -> None: @@ -392,8 +389,6 @@ def set_initial_condition(self, u0: Union[list[float], Callable[[], float], floa elif isinstance(ddu0, list): self.ddu0 = ddu0 - self.apply_initial_condition() - def apply_initial_condition(self): self.U[:, 0] = self.u0 self.dU[:, 0] = self.du0 diff --git a/src/FEM/Heat1D.py b/src/FEM/Heat1D.py index 2a278e3..444ff6a 100644 --- a/src/FEM/Heat1D.py +++ b/src/FEM/Heat1D.py @@ -134,7 +134,7 @@ class Heat1DTransient(CoreParabolic): The differential equation is: .. math:: - \\frac{\\partial T}{\\partial t}-\\frac{\\partial}{\\partialx}\\left(Ak\\frac{\\partialT}{\\partialx}\\right)+\\beta P(T-T_{\\infty})=q + \\frac{\\partial T}{\\partial t}-\\frac{\\partial}{\\partial x}\\left(Ak\\frac{\\partial T}{\\partial x}\\right)+\\beta P(T-T_{\\infty})=q Args: geometry (Geometry): Input 1D Geometry. 1 variable per node @@ -152,7 +152,7 @@ def __init__(self, geometry: Geometry, A: float, P: float, ku: float, beta: floa The differential equation is: .. math:: - \\frac{\\partial T}{\\partial t}-\\frac{\\partial}{\\partialx}\\left(Ak\\frac{\\partialT}{\\partialx}\\right)+\\beta P(T-T_{\\infty})=q + \\frac{\\partial T}{\\partial t}-\\frac{\\partial}{\\partial x}\\left(Ak\\frac{\\partial T}{\\partial x}\\right)+\\beta P(T-T_{\\infty})=q Args: geometry (Geometry): Input 1D Geometry. 1 variable per node @@ -248,27 +248,39 @@ def defineConvectiveBoderConditions(self, node: int, value: float = 0) -> None: self.K[node, node] += self.beta[k]*self.A[k] # FIXME esto tiene que cambiar para transient - def postProcess(self, t0, tf, steps) -> None: + def postProcess(self, node=None, t0=None, tf=None, steps=None, dt=None, ax=None) -> None: """Post process the solution and steps """ - - fig = plt.figure() - ax1 = fig.add_subplot(1, 1, 1) - for i in range(steps+1): - self.solver.setSolution(i, True) + if not ax: + fig = plt.figure() + ax = fig.add_subplot(1, 1, 1) + steps = len(self.solver.solutions) + if not node: + for i in range(steps): + self.solver.setSolution(i, True) + X = self.geometry.gdls.flatten().tolist() + U1 = self.U.flatten().tolist() + color = "gray" + if i == 0: + color = "black" + elif i == steps: + color = "red" + + ax.plot(X, U1, color=color) + ax.set_xlabel("X") + ax.set_ylabel(f"T all nodes") + else: + color = "k" X = [] U1 = [] - for e in self.elements: - _x, _u = e.giveSolution(False) - X += _x.T[0].tolist() - U1 += _u[0].tolist() - color = "gray" - if i == 0: - color = "black" - elif i == steps: - color = "red" - - ax1.plot(X, U1, color=color) - ax1.grid() - ax1.set_title(r'$T(x)$') - plt.show() + for i in range(steps): + self.solver.setSolution(i, True) + U1.append(self.U[node]) + X.append(self.solver.solutions_info[i]["time"]) + + ax.plot(X, U1, color=color) + ax.set_xlabel("t") + ax.set_ylabel(f"T node {node}") + return X, U1 + ax.grid() + ax.set_title(r'$T(x)$') diff --git a/src/FEM/Solvers/Transient.py b/src/FEM/Solvers/Transient.py index 5532362..02431e4 100644 --- a/src/FEM/Solvers/Transient.py +++ b/src/FEM/Solvers/Transient.py @@ -22,9 +22,14 @@ def __init__(self, FEMObject: 'Core'): self.type = 'lineal-transient' self.solutions = [] - def run(self, t0, tf, steps): - self.system.dt = (tf-t0)/steps - self.system.t = t0 + def run(self, t0, tf, steps, dt=None): + if not dt: + self.system.dt = (tf-t0)/steps + self.system.t = t0 + else: + self.system.dt = dt + self.system.t = t0 + self.system.apply_initial_condition(t0, dt) for _ in tqdm(range(steps)): logging.info( f'Solving for time {self.system.t}. Using dt = {self.system.dt}') @@ -36,8 +41,8 @@ def run(self, t0, tf, steps): logging.info('Solving equation system...') self.solutions.append(np.linalg.solve( self.system.K, self.system.S)) + self.system.t += self.system.dt self.solutions_info.append( {'solver-type': self.type, "time": self.system.t, "dt": self.system.dt}) self.setSolution(elements=True) - self.system.t += self.system.dt logging.info('Done!')