This volume contains the proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanics, held at the Ecole Polytechnique Federale de Lausanne, Switzerland, on September 25-27, 1991. This conference, as weil as the preceding eight ones, was organized by the GAMM Committee on Numerical Methods in Fluid Dynamics. 1t was probably also the last one in this successful series of conferences, since in the future, a bi-annual European meeting on Computational Fluid Dynamics will be organized by ECCOMAS, a new organization, representing all existing European professional societies working in this field. The conference was attended by about 100 registered participants coming from all corners of the world. These proceedings contain the written version of the 56 papers presented during the meeting. In order to eliminate all kinds of errors, omissions, spelling mistakes, etc. these papers have been reviewed by an ad hoc scientific committee. As a result of this work a good deal of the papers were sent back to the authors for correction. This procedure has somewhat delayed the publication of this volume. We feel, however, that this has been a worth while effort. The subjects treated during the meeting represent weil current interests in CFD. For instance, multigrid and multiblock techniques for viscous as weil as inviscid 3D flows were presented. Similarly, finite rate chemistry hypersonic flows still attracts many scientists due to the continuation of the Hermes Project.

Table of Contents:
On the effects of spatial resolution and the subgrid-scale modeling in the large eddy simulation of a recirculating flow.- Unsteady high-angle-of-attack flowfield simulation around the F-18 aircraft.- Is computer extension of series a part of CFD ?.- Validation of a computer code for the numerical simulation of turbulent flows past delta wings.- Hypersonic laminar flow computations over a blunt leading edged delta wing at three different chord Reynolds numbers.- Study into the limits of an Euler equation method applied to leading-edge vortex flow.- Explicit multigrid smoothing for multidimensional upwinding of the Euler equations.- Two-dimensional Lagrangian flow simulation using fast, quadtree-based adaptive multigrid solver.- Multi-D upwinding and multigridding for steady Euler flow computations.- A multigrid method for discretization of the incompressible Navier- Stokes equations in general coordinates.- Numerical solution of viscous hypersonic flows in chemical non equilibrium.- Influence of numerical diffusion in high temperature flow.- Robust computation of 3D viscous hypersonic flow problems.- Comparison of thin layer Navier-Stokes and coupled Euler/boundary layer calculations of non-equilibrium hypersonic flows.- A multiblock flow solver for viscous compressible flows.- A three dimensional multigrid multiblock multistage time stepping scheme for the Navier-Stokes equations.- Numerical solution of compressible viscous flows using multidomain techniques.- Three-dimensional Navier-Stokes computations of spatially developing Goertler vortices.- New fully coupled solution of the Navier-Stokes equations.- Evaluation of the artificial compressibility method for the solution of the incompressible Navier-Stokes equations.- Three-dimensional thin-layer and space-marchingNavier-Stokes computations using an implicit muscl approach: comparison with experiments and Euler computations.- High speed flows over compression ramps.- A simple triangular element for the compressible Navier-Stokes equations.- Semiimplicit schemes for solving the Navier-Stokes equations.- Turbulent flow simulation of Francis water runner with pseudo-compressibility.- Calculation procedure for unsteady incompressible 3-D flows in arbitrarily shaped domains.- A fully implicit 3-D Euler-solver for accurate and fast turbomachinery flow calculation.- Galerkin/least-squares approximations of incompressible flow problems.- A Runge-Kutta TVD finite volume method for steady Euler equations on adaptive unstructured grids.- Computation of the viscous flow around multi-element aerofoils using unstructured grids.- Adaptive solutions of the conservation equations on unstructured grids.- Analysis of natural convection with large temperature difference using a fast matrix solver.- Comparison of some numerical schemes for the advection of a passive positive scalar on a coarse grid.- Numerical method for conduction-convection-radiation heat transfer in two-dimensional irregular geometries.- Sensors for self-adapting grid generation in viscous flow computations.- Grid alignment effects and rotated methods for computing complex flows in astrophysics.- Adaptive mesh coupling of Euler equation and boundary layer solutions for transonic airfoils.- An attempt to the surface grid generation based on unstructured grid.- Laminar and turbulent viscous compressible flows using improved flux vector splittings.- Supersonic turbulent boundary layer with pressure gradients.- Transonic aerofoil performance by solution of the Reynolds-averaged Navier-Stokes equations with a one-equation turbulence model.- Numerical simulation of wind tunnel flows past a flame-holder model.- Numerical simulation of H2-02 diffusion flames in a rocket engine.- A modified semi-implicit method for two-phase flow problems.- Numerical calculations of flows in curved-duct intake ports and combustion chambers.- Hypersonic flow simulation by marching on an adapting grid.- Calculation of viscous hypersonic flows in chemical non-equilibrium.- Adaptive mesh refinement for unsteady, nonequilibriumn, high speed flows.- On reliability of the time-dependent approach to obtaining steady-state numerical solutions.- A method for direct numerical simulation of compressible boundary-layer transition.- Direct simulation of incompressible, viscous flow through a rotating square channel.- Analysis of semi-implicit time integration schemes for direct numerical simulation of turbulent convection in liquid metals.- A two-step Godunov-type scheme for multidimensional compressible flows.- Flux balance splitting with rotated differences: a second order accurate cell vertex upwind scheme.- Hybrid spectral element methods for shock wave calculations.- Viscous flux limiters.