Fundamentals of Grid Generation

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CRC Press, Oct 20, 1993 - Mathematics - 304 pages
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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.
  

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Contents

Application to Hosted Equations
25
Grid Generation on the Line
45
Vector Calculus and Differential
65
Classical Planar Grid Genera tion
89
Varia tional Planar Grid Genera tion
116
Tensor Analysis
143
Advanced Planar Variational
159
Grid Generation in Three
181
Variational Grid Generation on Curves
195
Bibliography
237
Appendix A Tensor Coefficients
251
Index
283
Copyright

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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.

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