Fundamentals of Grid Generation

Front Cover
CRC Press, Oct 20, 1993 - Mathematics - 304 pages
0 Reviews
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.

What people are saying - Write a review

We haven't found any reviews in the usual places.


Application to Hosted Equations
Grid Generation on the Line
Vector Calculus and Differential
Classical Planar Grid Genera tion
Varia tional Planar Grid Genera tion
Tensor Analysis
Advanced Planar Variational
Grid Generation in Three
Variational Grid Generation on Curves
Appendix A Tensor Coefficients

Common terms and phrases

Popular passages

Page 237 - International Conference on Numerical Grid Generation in Computational Fluid Dynamics and Related Fields.
Page 241 - Numerical Grid Generation In Computational Fluid Mechanics 88, S. Sengupta, J. Hauser, PR Eiseman, and JF Thompson, eds., Pineridge Press, Swansea, UK, pp. 665-674 (also, NASA TM-101298). Baumeister, KJ and Horowitz, SJ, 1984, "Finite Element-Integral Acoustic Simulation of ]T15D Turbofan Engine," Journal of Vibration, Acoustics, Stress and Reliability in Design, Vol.
Page 242 - A numerical technique for two-dimensional grid generation with grid control at all of the boundaries", J.
Page 242 - A variational method for the optimization and adaption of grids in computational fluid dynamics. In Numerical Grid Generation in Computational Fluid Mechanics '88, S. Sengupta, J.
Page 238 - ... Math. Comp. 46, 1986, pp. 401-424. 5. JT Beale and A. Majda, High Order Accurate Vortex Methods with Explicit Velocity Kernels, J. Comp. Phys. 58, 1985, pp. 188-208. 6. JT Beale and A. Majda, Vortex Methods II: High Order Accuracy in 2 and 3 Dimensions, Math. Comp. 32, 1982, pp. 29-52. 7. JU Brackbill, Coordinate System Control: Adaptive Meshes, in Numerical Grid Generation, JF Thompson, ed., Elsevier, 1982. 8. AJ Chorin, A Numerical Study of Slightly Viscous Flow, J. Fluid Mech. 57, 1973, pp....
Page 237 - Anderson, DA 1986. Constructing adaptive grids with Poisson grid generators. In Numerical Grid Generation in Computational Fluid Dynamics, J. Haiiser and C. Taylor, eds., pp.
Page 246 - Roache, PJ and Steinberg, S., A new approach to grid generation using a variational formulation, AIAA 7th Computational Fluid Dynamics Conference, AIAA paper 85-1527, pp.

References to this book

All Book Search results »

Bibliographic information