TY - BOOK ID - 14301705 TI - Grid generation methods PY - 2010 SN - 9048129117 9400730780 1282834312 9786612834318 9048129133 9048129125 PB - Dordrecht : Springer, DB - UniCat KW - Numerical grid generation (Numerical analysis). KW - Numerical grid generation (Numerical analysis) KW - Applied Physics KW - Calculus KW - Mathematics KW - Engineering & Applied Sciences KW - Physical Sciences & Mathematics KW - Numerical analysis. KW - Coordinate generation, Numerical (Numerical analysis) KW - Generation of numerical grids (Numerical analysis) KW - Grid generation, Numerical (Numerical analysis) KW - Mesh generation, Numerical (Numerical analysis) KW - Numerical coordinate generation (Numerical analysis) KW - Numerical mesh generation (Numerical analysis) KW - Physics. KW - Computer science KW - Computer mathematics. KW - Applied mathematics. KW - Engineering mathematics. KW - Theoretical, Mathematical and Computational Physics. KW - Computational Mathematics and Numerical Analysis. KW - Mathematics of Computing. KW - Appl.Mathematics/Computational Methods of Engineering. KW - Mathematics. KW - Boundary value problems KW - Differential equations, Partial KW - Nets (Mathematics) KW - Numerical analysis KW - Mathematical analysis KW - Numerical solutions UR - https://www.unicat.be/uniCat?func=search&query=sysid:14301705 AB - This book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami’s partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods. ER -