New answers tagged pde
2
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Accepted
Modeling contamination diffusion in a draining container, part 2
The condition you need for the top boundary is a Neumann condition, because the contaminant is entering into the domain at a prescribed rate. The condition is obtained be equating the diffusive flow ...
- 126
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Problems solving 2D heat equation using physics-informed neural networks
Pay attention to the activation function used.
The second derivative of RELU would be zero (except at 0). In addition, for numerically solving problems like heat (diffusion) equation using physics ...
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2
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Accepted
Modeling contamination diffusion in a draining container
If you are negleting the fact the the level of the flow gets lower as the bottle drains, then you are implicitly assuming that new water comes into the domain at speed $v$. Since the analyte inflows ...
- 126
4
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Determining the importance of different parameters in a simulation
Optimal sampling will in general depend on one's objective. From the title it seems you are mainly interested in variable importance. This is typically one of the objectives of sensitivity analysis, ...
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