Fast Solvers For Flow Problems: Proceedings Of The Tenth Gamm-seminar Kiel, January 14-16, 1994 (notes On Numerical Fluid Mechanics) (german Edition)

The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organises seminars on subjects concerning the algorithmic treatment of partial differential equations. The topics are discretisation methods like the finite element and the boundary element method for various types of applications in structural and fluid mechanics. Particular attention is devoted to the advanced solution methods. The series of such seminars was continued in 1994, January 14-16, with the 10th Kiel-Seminar on the special topic Fast Solvers for Flow Problems at the Christian-Albrechts-University of Kiel. The seminar was attended by 100 scientist from 9 countries. 23 lectures were given, including two invited survey lectures. The central topic of most of the contributions are the Navier-Stokes equations. The authors discuss robust methods, parallel implementations, defect correction techniques, adaptive methods including error estimators, domain decompositions and FEM-BEM coupling. The invited lectures concern the hierarchical multigrid method for unstructured grids and structured adaptive finite-volume multigrid for compressible flows. Front Matter....Pages I-X A Hierarchical Basis Multigrid Method for Unstructured Grids....Pages 1-13 Structured Adaptive Finite-Volume Multigrid for Compressible Flows....Pages 14-37 On the solution of nonlinear equations for nondifferentiable mappings....Pages 38-51 Finite Element Solution of the Incompressible Navier-Stokes Equations on Anisotropically Refined Meshes....Pages 52-62 Downwind Numbering : A Robust Multigrid Method for Convection-Diffusion Problems on Unstructured Grids....Pages 63-73 A fast solver for gas flow networks....Pages 74-85 On the Design of Piecewise Uniform Meshes for Solving Advection-Dominated Transport Equations to a Prescribed Accuracy....Pages 86-95 Numerical Simulation of Three-dimensional Non-stationary Compressible Flow in Complex Geometries....Pages 96-108 On the Numerical Simulation of Coupled Transient Problems on MIMD Parallel Systems....Pages 109-120 Fast solvers for coupled FEM-BEM equations I....Pages 121-130 Numerical Simulations of Compressible Navier-Stokes Equations with Nonequilibrium Chemistry....Pages 131-141 Preconditioned CG - Like Methods and Defect Correction for Solving Steady Incompressible Navier - Stokes Equations....Pages 142-150 A Domain Decomposition Method for Singularly Perturbed Elliptic Problems....Pages 151-162 A parallel subspace decomposition method for elliptic and hyperbolic systems....Pages 163-174 Implicit Time-Discretization of the Nonstationary Incompressible Navier-Stokes Equations....Pages 175-191 Experiences with a parallel multiblock multigrid solution technique for the Euler equations....Pages 192-203 A Coupled Algebraic Multigrid Method for the 3D Navier-Stokes Equations....Pages 204-215 Robust Multigrid Methods for the Incompressible Navier-Stokes Equations....Pages 216-228 A new robust multigrid method for 2D convection-diffusion problems....Pages 229-240 Adapting Meshes by Deformation Numerical Examples and Applications....Pages 241-250 Multigrid Convergence Rates of a Sequential and a Parallel Navier-Stokes Solver....Pages 251-262 Parallel Iterative Solvers for Symmetric Boundary Element Domain Decomposition Methods....Pages 263-272 The Equivalence of A Posteriori Error Estimators....Pages 273-283 Back Matter....Pages 284-292 This volume contains 23 contributions to the 10th GAMM-Seminar, which was held in Kiel on the 14-16 of January 1994. The central topics are advanced numerical techniques for solving flow problems. Five papers are devoted to parallel algorithms, a further one to domain decomposition techniques.