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Results tagged with finite-element-method
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user 35106
Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.
4
votes
1
answer
2k
views
Constant Heat Flux Boundary Condition for the Differential Heat Equation
I am attempting to solve the transient heat equation for a very simple geometry and I am getting a junk solution. I have identified two distinct regions (wall and super-heated fluid layer) with their …
- 40.7k
1
vote
2
answers
139
views
Solution to PDE with "MethodOfLines" is not returning any values
I have been working on this code for quite a while now trying different types of solutions and I cannot get any actual values out of the NDSolveValue function. I have included my code so you can see w …
- 40.7k
1
vote
1
answer
893
views
Reflective and Constant Flux Boundary Conditions
Can anyone tell me how I can use NDSolveValue to model reflective and constant heat flux boundary conditions. I am solving the heat equation. Essentially I have a PDE that is dependent on time, radius …
- 40.7k
0
votes
0
answers
72
views
Iterating with NDSolveValue in a Do-loop [duplicate]
I am trying to get a differential solution to converge. There are two separate time periods that I am solving for and the entire solution is periodic. I want to use the output from one as the input fo …
- 108k
3
votes
1
answer
183
views
Kernel crash when evaluating NDSolveValue
I had a code that was working fine and I tried to add an extra few lines to find the solution of the same equation with different conditions. The original NDSolveValue solutions work fine but when it …
- 27.6k
2
votes
0
answers
122
views
Eliminating instabilities in a transient finite element solution at a discontinuity near t = 0
I have found a transient solution to the 1D heat equation where the initial condition is discontinuous. The results are accurate except for when time is small. The initial condition looks like this:
…
- 108k
1
vote
Solution to PDE with "MethodOfLines" is not returning any values
I have managed to get a solution and it appears somewhat correct (not entirely physically accurate), I don't know why this works but by not defining the independent variables t and z in for the soluti …
- 167