Summary: When domain decomposition is applied to an unstructured mesh, the realization of conformal mapping will often lead to highly irregular boundaries for each subdomain, which in turn will create extra errors in the gradient approximations. One possibility to avoid this is to construct all parallel domains independently, and then combine them together using interdomain interpolation. This study describes the implementation of one such method based on automatic detection of domain overlaps, and setting of communication interfaces (DOVE). The usability of the scheme is demonstrated on cases of two continuum solvers: a Poisson solver and an artificial compressibility flow-solver. This scheme can be easily extended to handle dynamic overlapping regions, when the domains may change shape or move with respect to each other.
For the entire collection see [Zbl 1048.76002].