Grid Generation Methods (Scientific Computation)

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. Front Matter....Pages I-XVII General Considerations....Pages 1-29 Coordinate Transformations....Pages 31-66 Grid Quality Measures....Pages 67-99 Stretching Method....Pages 101-131 Algebraic Grid Generation....Pages 133-154 Grid Generation Through Differential Systems....Pages 155-193 Dynamic Adaptation....Pages 195-226 Variational Methods....Pages 227-259 Curve and Surface Grid Methods....Pages 261-292 Comprehensive Method....Pages 293-332 Unstructured Methods....Pages 333-362 Back Matter....Pages 363-390 This Text Is An Introduction To Methods Of Grid Generation Technology In Scientific Computing. Special Attention Is Given To Methods Developed By The Author For The Treatment Of Singularly-perturbed Equations, E.g. In Modeling High Reynolds Number Flows. Functionals Of Conformality, Orthogonality, Energy And Alignment Are Discussed. This is a fully revised and updated second edition of the introduction to structured and unstructured grid methods in scientific computing. It formulates basic local and integral grid quality measures and reviews fresh approaches to mesh generation.