Numerical Methods for Fluid Dynamics IV

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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.
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Product Details

  • ISBN-13: 9780198536963
  • Publisher: Oxford University Press, USA
  • Publication date: 1/28/1994
  • Series: Oxford Science Publications Series
  • Pages: 624
  • Product dimensions: 6.38 (w) x 9.50 (h) x 1.56 (d)

Meet the Author

University of Reading

Oxford University

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Table of Contents

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 Lötstedt
13. Iterative defect correction and multigrid accelerated explicit time stepping for the steady Euler equations, Barry Koren, Marie-Hélène Lallemand
14. The construction and behaviour of some, J. Peraire, M. Vahdati and J. Peiró and K. Morgan
15. Contributed Papers
16. Adaptive concepts for the resolution of compressible flow by upwind finite volume methods, Th. Sonar, V. Hannemann, O. Friedrich
17. Adaptive finite elements for transonic flows, U. Göhner, G. Warnecke, W. Wendland
18. A general upwind formulation for compressible flows on multi-element meshes, Alain Dervieux, Lopula Fézoui, Marie-Pierre Leclercq and Bruno Stoufflet
19. A dynamically adaptive Godunov scheme for reservoir simulation on large aspect ratio grids, Michael G. Edwards
20. Local uniform mesh refinement and brine transport in porous media, Ron Trompert
21. A subdomain matching condition for implicit Euler solvers, A. Lerat and Z.N. Wu
Orthogonal block structured surface grids, R. Arina and S. Tarditi
23. Surface grid generation with a linkage to geometric generation, Masahiro Suzuki
24. Boundary fitted grid generation using tensor product B-splines 309, Bonita V. Saunders
25. Grid convergence for adaptive methods, Gary P. Warren, W. Kyle Anderson, James L. Thomas, Sherrie L. Krist
26. Grid quality: an interplay of grid and solver, A.E.P. Veldman and E.F.F. Botta
27. Body capturing using adaptive cartesian grids, S.A.E.G. Falle and J.R. Giddings
28. A high resolution discontinuous Galerkin method for hyperbolic problems on unstructured grids, Bassi F., Rebay S. and Savini M.
29. Shock capturing using auto-adaptive finite elements, R. Richter and P. Leyland
30. On the steady-state accuracy of an implicit Navier-Stokes solver of Lax-Wendroff type, G. Lacombe and A. Lerat
31. Riemann solvers: linearizations and adaption, E.F. Toro
32. A cartesian grid scheme for gas dynamic flows that involve complex geometries, James J. Quirk
33. Recent developments of the Lagrange-Calerkin method, Andrew Priestley
34. Iterative solution technique for the Lagrange-Galerkin method 401, Alison Ramage and Andrew J. Wathen
35. The spectral Lagrange-Galerkin method for the Navier-Stokes equations, E. Süli and A. Ware
36. Calculation of multiple solutions for the two-dimensional Navier-Stokes equations, I.J. Sobey and T. Mullin
37. A new implicit second order scheme based on a kinetic interpretation for solving the Euler Equations, Florian De Vuyst
38. A solution method for the shallow water Quasi-equilibrium equations on the sphere, Mark H. Mawson
39. Contamination of laminar boundary layers by artificial dissipation in Navier-Stokes solutions, Steven R. Allmaras
40. A comparison of several implicit smoothing methods, J. Blazek, N. Kroll, C.C. Rossow
41. Diffusion estimates as input for grid adaption, P. Tattersall and J. McGuirk
42. On the eigensystems associated with numerical boundary schemes for hyperbolic equations, David W. Zingg and Harvard Lomax
43. Implementation of non-reflecting boundary conditions in an unsteady flow simulation system, K. Engel, M. Faden, S. Pokorny
44. Absorbing boundary conditions for acoustic and elastic waves, Rosemary A. Renaut
45. Generation and analysis of hybrid structured/unstructured grids, P.N. Childs and J.A. Shaw
46. A 2D multiblock method for viscous and inviscid flow computations, C. Mensink, H. Deconinck
47. Error estimates for adaptive cell vertex finite volume algorithms, J.A. Mackenzie, D.F. Mayers and A.J. Mayfield
48. Energy-reduced boundary conditions for the simulation of compressible viscous flows in domains with moving boundaries, Gabriele C. Hegerl, Albert Sachs
49. Multi-stage Jacobi relaxation as smoother in a multigrid method for steady Euler equations, Erik Dick and Kris Riemslagh
50. Multigrid convergence acceleration of an upwind Euler algorithm on multiply-embedded meshes, S.H. Onslow and C.M. Albone
51. Implicit multigrid algorithm for Euler equations on block-structured grids with discontinuous interfaces, Lixia Wing and David A. Caughey
52. A comparison of multidimensional upwinding for cell vertex schemes on triangular meshes, Michael Rudgyard
53. A new approach to finite element error control for time-dependent problems, P.K. Jimack
54. Time-accurate calculations with an implicit Euler-Navier-Stokes solver, Jaakko Hoffren and Timo Siikonen
55. SFDN-*a-GMRES and SQN-*a-GMRES methods for fast high resolution N-S simulations, N. Qin, X. Xu and B.E. Richards
56. Towards a cell-vertex multi-grid Navier-Stokes algorithm for three-dimensional structured/unstructured meshes, A.J. Peace

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