how to compute the flux through a part of the boundary
See original GitHub issueA common postprocessing operation is the computation of the flux through a part of the boundary which has had an isopotential boundary condition imposed. I haven’t quite worked out how to evaluate this.
I have in a branch of examples/ex13.py (which is atop #47) computed the gradient of the potential using derivative
, but haven’t figured out how to then integrate the normal component of this over just a part of the boundary, say that corresponding to mesh.boundaries['ground'].facets
.
Is there a facility for restricting a linear_form
to a Submesh
?
Issue Analytics
- State:
- Created 5 years ago
- Comments:5 (5 by maintainers)
Top Results From Across the Web
Flux through the boundary of a rectangle - Math Stack Exchange
F=⟨x3+2,ycos(6x)⟩. We get the 2D curl: curl(F)=−6ysin(6x)−0=−6ysin(6x). By green's theorem, the flux through the boundary is thus:.
Read more >Example 2: Flux Through A Surface with Two Boundaries
First of all, what do we mean by a region with two boundaries? Here's an example. Let S1 be the sphere of radius...
Read more >Flux in two dimensions (article) - Khan Academy
The flux over the boundary of a region can be used to measure whether whatever is flowing tends to go into or out...
Read more >6.8 The Divergence Theorem - Calculus Volume 3 | OpenStax
S a . To calculate the flux across S, let E be the solid between surfaces S a S a and S. Then,...
Read more >Finding the Flux: Surface Ingtegral of a Vector Field ... - YouTube
Find the flux of a vector field through a surface. It turns out that this is actually a surface integral.
Read more >Top Related Medium Post
No results found
Top Related StackOverflow Question
No results found
Troubleshoot Live Code
Lightrun enables developers to add logs, metrics and snapshots to live code - no restarts or redeploys required.
Start FreeTop Related Reddit Thread
No results found
Top Related Hackernoon Post
No results found
Top Related Tweet
No results found
Top Related Dev.to Post
No results found
Top Related Hashnode Post
No results found
Top GitHub Comments
One can now give
Submesh
toFacetBasis
constructor via the keyword argumentsubmesh
.The resulting
FacetBasis
is nonzero only on the submesh.Awesome! Thank you. I have extended ex13 to demonstrate this. #56