This volume brings together leading mathematicians and engineers to review recent advances in mathematical and computational fluid techniques for modelling fluid flows. Four key topics are treated in detail: implicit methods in CFD, mesh generation and error analysis, numerical boundary conditions, and multigrid and alternative methods for hyperbolic systems. This up-to-date survey will appeal to students and researchers alike.
INVITED PAPERS 1. Node-cell mappings for the cell vertex method,K.W. Morton 2. Solution adaptivity with structured grids,D. Catherall 3. Mesh adaption for compressible flows,Bernadette Palmerio 4. Grid generation as a discrete optimisation problem,C.L. Farmer 5. Super-viscosity and spectral approximations of nonlinear conservation laws,Eitan Tadmor 6. Waves in discrete fluids,P.L. Roe 7. Practical flow simulation employing high order accuracy, implicit, finite element based algorithms,S. Hickmott, A.G. Hutton, M. Rabbitt and R.M. Smith 8. Computing steady incompressible flows past blunt bodies - A historical overview,Bengt Fornberg 9. Basins of attraction and the time-dependent approach to obtaining steady-state numerical solutions,H.C. Yee, P.K. Sweby, and A. Lafon 10. Physical and numerical aspects of non-equilibrium flows,Maurizio Pandolfi 11. Simplified multi-dimensional flux limiter methods,Randall J. LeVeque 12. Convergence acceleration for first order systems,Bertil Gustafsson and Per L?tstedt 13. Iterative defect correction and multigrid accelerated explicit time stepping for the steady Euler equations,Barry Koren, Marie-H?l?ne Lallemand 14. The construction and behaviour of some,J. Peraire, M. Vahdati and J. Peir? and K. Morgan 15. Contributed Papers 16. Adaptive concepts for the resolution of compressible flow by upwind finite volume methods,Th. Sonl³r