The Sonderforschungsbereich "Reactive Flow, Diffusion and Transport" (SFB 359) at Heidelberg University and the IBM Scientific Center Heidelberg have jointly organized a workshop on "Numerical Methods for the Navier-Stokes Equations". This workshop took place from October 25-28, 1993, at the IBM Scientific Center and was attended by 113 scientists from 13 countries. The scientific program consisted of 12 invited and 34 contributed lectures which dealt with various aspects of the numerical solution of the Navier Stokes equations describing compressible as well as incompressible flows. The main topics were stable and higher-order discretization schemes, discretizations based on non-standard variational formulations, operator splitting methods, multilevel and domain decomposition techniques, a posteriori error control and adaptivity, and implementation issues on parallel computers. These proceedings contain 29 of the contributions to the workshop in alphabetical order. The editors thank the Deutsche Forschungsgemeinschaft (DFG) for its financial support through the SFB 359. They also like to express their gratitude to all persons involved in the organization of the workshop and the preparation of these proceedings. F. K. Hebeker April1994 R. Rannacher G. Wittum v CONTENTS Page M. BERZINS, J. M. WARE: Reliable Finite Volume Methods for Navier-Stokes Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . S. BIKKER, H. GREZA, W. KOSCHEL: Parallel Computing and Multigrid Solution on Adaptive Unstructured Meshes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 . . . . . . . . . . . . . . . . X.-C. CAl, W. D. GROPP, D. E. KEYES, M.D. TIDRIRI: Newton-Krylov-Schwarz Methods in CFD........ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . . . . . . . . . H. DANIELS, A. PETERS: PASTIS-3D - A Parallel Finite Element Projection Code for the Time-Dependent Incompressible Navier-Stokes Equations. . . . . . . . . . 31 . . .

Inhalt
Reliable Finite Volume Methods for Navier-Stokes Equations.- Parallel Computing and Multigrid Solution on Adaptive Unstructured Meshes.- Newton-Krylov-Schwarz Methods in CFD.- PASTIS-3D A Parallel Finite Element Projection Code for the Time-Dependent Incompressible Navier-Stokes Equations.- Coupled Solution of the Steady Compressible Navier-Stokes Equations and the k-?-Turbulence Equations with a Relaxation Method.- Aspects of Finite Element Discretizations for Solving the Boussinesq Approximation of the Navier-Stokes Equations.- Study of Extended Flow Separation on Parallel Machines.- Operator Splitting Method for Compressible Euler and Navier-Stokes Equations.- An Efficient Numerical Algorithm for Velocity Vorticity 3D Unsteady Navier-Stokes Equations: Application to the Study of a Separated Flow Around a Finite Rectangular Plate.- Incompressible Flows Based upon Stabilized Methods.- Adaptive Computation of Compressible Flow Fields with the DLR-?-Code.- Defect Correction for Convection Dominated Flow.- An Operator Splitting Approach for Computing Compressible Flows in Astrophysics.- On Error Control in CFD.- Parallel Grid Adaption.- Numerical Simulation of Turbulent Three-Dimensional Flow Problems on Parallel Computing Systems.- A High-Resolution Flux Splitting Scheme for the Solution of the Compressible Navier-Stokes Equations on Triangular Grids.- The Numerical Approximation of a Free Gas-Vacuum Surface.- A Chimera Grid Scheme for the Calculation of the Flow Around Particles in Difficult Geometries.- A New Multi-Domain Algorithm for the Spectral Solution of the Incompressible Navier-Stokes Equations.- On the Construction of Robust Smoothers for Incompressible Flow Problems.- A Nonconforming Uniformly Convergent Finite Element Method in Two Dimensions.- AnEfficient Parallel Solution Technique for the Incompressible Navier-Stokes Equations.- Coupling of Two Dimensional Viscous and Inviscid Incompressible Stokes Equations.- On the Order of Two Nonconforming Finite Element Approximations of Upwind Type for the Navier-Stokes Equations.- An Accurate and Efficient Implicit Upwind Solver for the Navier-Stokes Equations.- An Efficient Finite Element Solver for the Nonstationary Incompressible Navier-Stokes Equations in Two and Three Dimensions.- Numerical Simulation of Unsteady Compressible Viscous Flow Around NACA 0012 Airfoil.- A Posteriori Error Estimates for Non-Linear Problems.- Computing Incompressible Flows in General Domains.