From 84e2bda61eb18dd436fd6125c99df3ebf2312ef7 Mon Sep 17 00:00:00 2001
From: dedner <a.s.dedner@warwick.ac.uk>
Date: Tue, 31 Jul 2018 20:27:46 +0100
Subject: [PATCH] set up a heat equation example (not working)
---
pydemo/scalar/scalar.py | 17 ++++++++++-------
pydemo/scalar/shock_tube.py | 16 +++++++++-------
2 files changed, 19 insertions(+), 14 deletions(-)
diff --git a/pydemo/scalar/scalar.py b/pydemo/scalar/scalar.py
index e322002d..4c92d81b 100644
--- a/pydemo/scalar/scalar.py
+++ b/pydemo/scalar/scalar.py
@@ -26,7 +26,7 @@ class LinearAdvectionDiffusion1D:
# def F_c(t,x,U):
# return as_matrix( [ [U[0], 0] ] )
def F_v(t,x,U,DU):
- return 0.1*DU
+ return 0.5*DU
def maxLambda(t,x,U,n):
return abs(n[0])
def velocity(t,x,U):
@@ -35,11 +35,13 @@ class LinearAdvectionDiffusion1D:
return 1
def jump(U,V):
return U-V
-class LinearAdvectionDiffusion1DDirichlet(LinearAdvectionDiffusion1D):
- def dirichletValue(t,x,u):
- return as_vector( [cos(2*pi*x[0])] )
- boundaryValue = {}
- for i in range(1,5): boundaryValue.update( {i: dirichletValue} )
+def LinearAdvectionDiffusion1DDirichlet(bnd):
+ class Model(LinearAdvectionDiffusion1D):
+ def dirichletValue(t,x,u):
+ return bnd
+ boundaryValue = {}
+ for i in range(1,5): boundaryValue.update( {i: dirichletValue} )
+ return Model
class LinearAdvectionDiffusion1DNeuman(LinearAdvectionDiffusion1D):
def zeroFlux(t,x,u,n):
return 0
@@ -77,7 +79,8 @@ def shockTransport():
return Transport1D, riemanProblem(x[0],-0.5, [1], [0])
def sinProblem():
- return LinearAdvectionDiffusion1DDirichlet, as_vector( [sin(2*pi*x[0])] )
+ u0 = as_vector( [sin(2*pi*x[0])] )
+ return LinearAdvectionDiffusion1DDirichlet(u0), u0
def cosProblem():
return LinearAdvectionDiffusion1DNeuman, as_vector( [cos(2*pi*x[0])] )
diff --git a/pydemo/scalar/shock_tube.py b/pydemo/scalar/shock_tube.py
index 0f66866d..91e2a795 100644
--- a/pydemo/scalar/shock_tube.py
+++ b/pydemo/scalar/shock_tube.py
@@ -5,9 +5,9 @@ import dune.create as create
from dune.models.elliptic.formfiles import loadModels
from dune.femdg import createFemDGSolver
-from scalar import shockTransport as problem
+# from scalar import shockTransport as problem
# from scalar import constantTransport as probelm
-# from scalar import cosProblem as problem
+from scalar import sinProblem as problem
# from scalar import cosProblem as problem
# from scalar import burgersShock as problem
# from scalar import burgersVW as problem
@@ -15,33 +15,35 @@ from scalar import shockTransport as problem
Model, initial = problem()
-
+parameter.append({"fem.verboserank": 0})
parameter.append("parameter")
-parameter.append({"fem.verboserank": -1})
x0,x1,N = [-1, 0], [1, 0.1], [50, 7]
grid = structuredGrid(x0,x1,N)
+
# grid = create.grid("ALUSimplex", cartesianDomain(x0,x1,N))
dimR = 1
t = 0
+dt = 0.001
saveStep = 0.01
saveTime = saveStep
count = 0
endTime = 1.
def useODESolver():
- global count, t, saveTime
+ global count, t, dt, saveTime
spaceName = "dgonb"
polOrder = 2
space = create.space(spaceName, grid, order=polOrder, dimrange=dimR)
u_h = space.interpolate(initial, name='u_h')
- operator = createFemDGSolver( Model, space )
+ operator = createFemDGSolver( Model, space, limiter=None )
+
+ operator.setTimeStepSize(dt)
start = time.time()
grid.writeVTK(Model.name, celldata=[u_h], number=count)
while t < endTime:
- # operator.applyLimiter( u_h );
operator.solve(target=u_h)
dt = operator.deltaT()
t += dt
--
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