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lucasmyers97 / maier-saupe-lc-hydrodynamics

Work at University of Minnesota using finite element methods to simulate hydrodynamics of liquid crystals with a Maier-Saupe field theory free energy
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Better extra grid refinement + fixing around geometry #60

Open lucasmyers97 opened 1 year ago

lucasmyers97 commented 1 year ago

At this point, we refine around defects and around the center of the grid. For the former, this only includes a cylindrical refinement around the line along the z-axis through a defect point. For the former, this includes a rectangular prism refinement around the center at distances of L/(2^n).

Presumably what should happen is that each refinement scheme should correspond to further refinement around some geometric structure (point or a line). Additionally, there should be a class enum which contains the particular norm which is being computed. Then there can be a vector of pointers to the parent class GeometricGridRefinement or something. This should just take in a mutable reference to a triangulation and it should refine according to distance from the geometric object.

lucasmyers97 commented 1 year ago

Can also use this to identify regions which should be fixed, and for which there should be some internal boundary condition.