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Implementation of boundary conditions for the director orientation

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Boundary-conditions

Implementation of boundary conditions for the director orientation

The implementation of the homeotropic boundary condition is universal irrespective of the geometry. We use the \patch( ).nf( ) function, which computes the wall-normal vector and prescribes it on the wall.

The wall-parallel boundary condition is more complex and requires a geometry-dependent function. The code wallPar specifies the wall-parallel boundary condition for a pipe depicted in the file geometry_picture.png; the symmetry plane of a bend is located at z=0 and the pipe axis lies in the x-y plane. calars cx and cy denote the x- and y- coordinates of the bend axis and the function specified in line 29 computes the appropriate director orientation.

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