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Conservative remapping and region overlays by intersecting arbitrary polyhedra. (English) Zbl 0932.76073

Summary: An algorithm for first-order grid intersections, by computing geometrically the intersection volume between donor and target zones, is developed for polyhedral meshes. We examine two applications of grid intersections. One application is first-order remapping, in which zone and node centered fields defined on a given mesh are transferred to a different mesh. The second application is region overlays, in which a region with homogeneous material properties is approximated by a grid of polyhedra and mapped onto an arbitrary hexahedral mesh, creating mixed zones on the boundary of the region. We demonstrate the use of this grid intersection algorithm within the framework of hydrodynamics simulations, and, using a domain decomposed mesh, we study the feasibility of a parallel implementation. \(\copyright\) Academic Press.

MSC:

76M99 Basic methods in fluid mechanics
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs

Software:

REMAP3D
Full Text: DOI

References:

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