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Grid Generation Methods

Vladimir D. Liseikin

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems. Grid generation methods are indispensable for the numerical solution of differential equations. Adaptive grid-mapping techniques, in particular, are the main focus and represent a promising tool to deal with systems with singularities. This 3rd edition includes three new chapters on numerical implementations (10), control of grid properties (11), and applications to mechanical, fluid, and plasma related problems (13). Also the other chapters have been updated including new topics, such as curvatures of discrete surfaces (3). Concise descriptions of hybrid mesh generation, drag and sweeping methods, parallel algorithms for mesh generation have been included too.
This new edition addresses a broad range of readers: students, researchers, and practitioners in applied mathematics, mechanics, engineering, physics and other areas of applications.

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Schlagwörter

adaptive grid, Mesh adaptation, inverse matrix method, structured grids, inverted Beltrami, stretched grid method, mesh generation, drag meshing, unstructured grids, Beltrami equation, Delaunay triangulation, Dirichlet tessellation, Christoffel symbols, finite element method, algebraic grid generation, spectral element algorithm, Octree decomposition, hybrid grids, grid clustering, immersed boundary method