Download or read book Three dimensional Grid Generation Through Elliptic Partial Differential Equations written by Johnny P. Ziebarth and published by . This book was released on 1983 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Grid Generation written by Patrick Knupp and published by CRC Press. This book was released on 2020-12-17 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Grid Generation is an outstanding text/reference designed to introduce students in applied mathematics, mechanical engineering, and aerospace engineering to structured grid generation. It provides excellent reference material for practitioners in industry, and it presents new concepts to researchers. Readers will learn what boundary-conforming grids are, how to generate them, and how to devise their own methods. The text is written in a clear, intuitive style that doesn't get bogged down in unnecessary abstractions. Topics covered include planar, surface, and 3-D grid generation; numerical techniques; solution adaptivity; the finite volume approach to discretization of hosted equations; concepts from elementary differential geometry; and the transformation of differential operators to general coordinate systems. The book also reviews the literature on algebraic, conformal, orthogonal, hyperbolic, parabolic, elliptic, biharmonic, and variational approaches to grid generation. This unique volume closes with the author's original methods of variational grid generation.
Download or read book Handbook of Grid Generation written by Joe F. Thompson and published by CRC Press. This book was released on 1998-12-29 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.
Download or read book Generation of Three dimensional Body fitted Grids by Solving Hyperbolic and Parabolic Partial Differential Equations written by and published by . This book was released on 1989 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Grid Generation for Parabolic Partial Differential Equations Using Marching Techniques written by Steven G. Miller and published by . This book was released on 1985 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two- and three-dimensional surface normal grids are generated in Cartesian coordinates around a supersonic/hypersonic waverider configuration using parabolic partial differential equations. The elliptic partial differential equations for grid generation are parabolized in the xi direction in two dimesions, and in the xi and zeta directions in three dimensions. This is consistent with spatial marching flow solutions. The parabolized grid equations march in the xi direction for two dimensions and in both the xi and zeta directions for three dimensions, without iteration. The following problems are investigated: describing the boundary points, generating grids around the waverider's wing tip, using approximations to the elliptic grid generation equations too far downstream around a convex corner, and grid crossover in concave regions when orthogonality is specified. The degree of grid smoothing in the marching directions is related to the positioning of the approximations to the elliptic grid generation equations. Highly stretched surface orthogonal grids are accurately and efficiently generated without grid embedding for high Reynold's number flows. Keywords: Grids; Fluid mechanics; Navier Stokes equations; Three dimensional flow; Thesis.
Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Three dimensional Elliptic Grid Generation Technique with Application to Turbomachinery Cascades written by and published by . This book was released on 1988 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Grid Generation for the Solution of Partial Differential Equations written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1987 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Three dimensional Zonal Grids about Arbitrary Shapes by Poisson s Equation written by Reese L. Sorenson and published by . This book was released on 1988 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Computational Differential Geometry Approach to Grid Generation written by Vladimir D. Liseikin and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. In an updated and expanded Second Edition, this monograph gives a detailed treatment based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces.
Download or read book Grid Generation Using Elliptic Partial Differential Equations written by and published by . This book was released on 1989 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Grid Generation Smoothing and Refinement for Structured and Unstructured Meshes written by Deepak Tiwari and published by . This book was released on 2004 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations written by Marc Alexander Schweitzer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: the solution or its gradient. These new discretization techniques are promising approaches to overcome the severe problem of mesh-generation. Furthermore, the easy coupling of meshfree discretizations of continuous phenomena to dis crete particle models and the straightforward Lagrangian treatment of PDEs via these techniques make them very interesting from a practical as well as a theoretical point of view. Generally speaking, there are two different types of meshfree approaches; first, the classical particle methods [104, 105, 107, 108] and second, meshfree discretizations based on data fitting techniques [13, 39]. Traditional parti cle methods stem from physics applications like Boltzmann equations [3, 50] and are also of great interest in the mathematical modeling community since many applications nowadays require the use of molecular and atomistic mod els (for instance in semi-conductor design). Note however that these methods are Lagrangian methods; i. e. , they are based On a time-dependent formulation or conservation law and can be applied only within this context. In a particle method we use a discrete set of points to discretize the domain of interest and the solution at a certain time. The PDE is then transformed into equa tions of motion for the discrete particles such that the particles can be moved via these equations. After time discretization of the equations of motion we obtain a certain particle distribution for every time step.
Download or read book Numerical Grid Generation in Computational Fluid Mechanics 88 written by S. Sengupta and published by . This book was released on 1988 with total page 1128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Grid Generation in Computational Fluid Dynamics written by J. Ha user and published by . This book was released on 1986 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generation of Three dimensional Body fitted Grids by Solving Hyperbolic Partial Differential Equations written by Joseph L. Steger and published by . This book was released on 1989 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book GRID2D 3D A Computer Program for Generating Grid Systems in Complex shaped Two and Three dimensional Spatial Domains Part 1 Theory and Method written by and published by . This book was released on 1990 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
