Fundamentals of Grid Generation
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
Advanced Planar Variational
algorithm Appendix approach boundary conditions boundary value problem calculus chain rule Chapter coefficients conformal mappings conservative form constant continuum contravariant convex coordinate curves coordinate lines coordinate system covariant projection covariant tangents curvature defined derivatives Dirichlet discrete divergence divx equa Euler-Lagrange equations example Exercise Figure formulas geometry given gradient grid-generation equations homogeneous hosted equation inhomogeneous inverse iteration Jacobian matrix Lagrange Multiplier Laplacian Length functional linear logical domain logical space logical-space weight metric identity metric tensor minimize Modified Liao Neumann boundary conditions nonconservative form nonlinear null space numerical obtain one-dimensional parameter partial differential equations physical domain physical region physical space physical-space weight planar grid plane relationship right-hand side satisfies scalar second-order Section Show smooth solution solve stencil symmetric tangent vectors THEOREM three dimensions three-dimensional tion transfinite interpolation transformation truncation error TTM equations variables variational grid variational principle vector calculus Warsi weight function Winslow zero
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.