Grid Generation Methods
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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.
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.
Offers a detailed and updated discussion of grid-mapping techniques Includes new chapters devoted to the implementation into numerical codes and application to mechanical, fluid, and plasma related problems Emphasizes the mathematical formulation of various aspects of grid generation methods Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras
Autor*in
Vladimir D. Liseikin
Themen in »Grid Generation Methods«
adaptive grid drag meshing Beltrami equation structured grids unstructured grids Octree decomposition algebraic grid generation Christoffel symbols Mesh adaptation immersed boundary method Delaunay triangulation Dirichlet tessellation spectral element algorithm hybrid grids finite element method
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“Each chapter provides a thorough description of the background of the method under consideration, explains its properties, and makes clear for which type of problem it is suitable. Plenty of carefully designed instructive figures provide examples illustrating the methods’ features. … It is also likely to form an excellent foundation for designing a semester’s set of lectures for a course addressing graduate students.” (Kai Diethelm, Computing Reviews, April, 2018)
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