jackhamel16 / Acoustics

Acoustic integral equation solver
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Add sound-soft CFIE #42

Closed jackhamel16 closed 3 years ago

jackhamel16 commented 3 years ago

Theory is complete and can now try implementing this

jackhamel16 commented 3 years ago

Needs:

RHS:

organization: Defining a solve routine for each IE I add seems like the best approach. Within the solve routine, call rhsFill and matrixFill for each integral described above and add results to get the final matrix and rhs.

multiple dispatch on fill routines so instead of allocating matrix/rhs inside the functions, it is passed as an argument and the elements are added to matr/rhs entries in the routine. Would allow multiple calls with different integrands (e.g. the two terms in the cfie RHS)

jackhamel16 commented 3 years ago

Normal derivatives of spherical wave excitation will be nontrivial. Here are some sources to get going with:

https://mathoverflow.net/questions/301827/partial-derivatives-of-spherical-harmonics https://en.wikipedia.org/wiki/Spherical_harmonics