Generation of curvilinear coordinates on multiply connected regions with boundary singularities

On the elliptic mesh generation in domains containing multiple inclusions and undergoing large deformations

“…As explained above, this leads to failure of computations, and more so in moving boundary problems. The second method [27][28][29] transforms the domain into a simply connected one by introducing as many branch-cuts as needed at arbitrary positions to connect once the inclusions with each other and another branch-cut to connect one of the internal bodies with the external boundary of the domain. Typically, one of the coordinates is assigned the same constant value on all the internal interfaces and all the branch-cuts between the bodies and another value at the external boundary, whereas the other coordinate takes two different constant values on the cut between one of the bodies and the outer interface.…”

An improved nearly-orthogonal structured mesh generation system with smoothness control functions

“…(2) can be used for mesh generation to satisfy specific requirements. For examples, Kaul [16] proposed a new set of boundary constraints (control functions) to automatically cluster the grid points; and, Vikkanizar et al [17] derived the control functions to adapt to the multiply connected domains. If the orthogonal condition is applied (b = g 12 = g 21 = 0) and the following control functions are selected:…”

Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering

“…(48) and (49) has been used to generate elliptic boundary-fitted grids. More details on the grid generation process and other grid generation alternatives can be found in [39,34,35,13,40] for similar domains.…”

“…The medium is homogeneous, i.e., n 1. This problem was previously treated in [7] using boundary conforming grids [13] coupled with local absorbing boundary conditions [8]. The wavenumber was k = 2p.…”