4
votes
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, ...
- 465
3
votes
Modeling contamination diffusion in a draining container, part 2
In case this helps anyone in the future, I wanted to finish off the problem by showing how I actually implemented it numerically. Forget Newton's method; I just solved the matrix equation for ...
- 197
2
votes
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
2
votes
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
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