Reparametrization and Volume Mesh Generation for Computational Fluid Dynamics Using Modified Catmull-Clark Methods

Autor:	Michael Rom, Karl-Heinz Brakhage
Rok vydání:	2014
Předmět:	Quadrilateral Offset (computer science) business.industry Catmull–Clark subdivision surface Geometry Volume mesh Computer Science::Computational Geometry Polyhedron Computer Science::Graphics Polygon mesh Subdivision surface business Mathematics Subdivision
Zdroj:	Mathematical Methods for Curves and Surfaces ISBN: 9783642543814 MMCS
DOI:	10.1007/978-3-642-54382-1_24
Popis:	A new technique is presented for using the Catmull-Clark subdivision method, modified for modeling sharp creases, to generate volume meshes used in computational fluid dynamics. Given a target surface of arbitrary genus, e.g., defined by a collection of trimmed B-spline patches, which represents an object in a flow, a simple polyhedron is constructed roughly approximating this target surface. After one Catmull-Clark subdivision, the polyhedron exclusively consists of quadrilaterals and its Catmull-Clark limit surface can be pre-computed. Points of the limit surface are projected onto the target surface and the control points of the polyhedron are adjusted by approximating the projected points. An iterative process of alternating subdivisions, projections and approximations leads to a watertight mesh consisting of untrimmed surface patches matching the given target surface. By attaching an offset mesh and a far-field mesh, a block-structured volume mesh is obtained, being well-suited for adaptive flow solvers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::678be6bedf6f024f903eb4ae8229e81b https://doi.org/10.1007/978-3-642-54382-1_24 Zobrazit plný text záznamu