Lecture Notes ni Physics Edited by .H Araki, Kyoto, .J Ehlers, MSnchen, .K Hepp, ZSrich .R Kippenhahn, ,nehcn~LM .D Ruelle, Bures-sur-Yvette H.A. WeidenmLiller, Heidelberg, .J Wess, Karlsruhe and .J Zittartz, n16K Managing Editor: W. Beiglb6ck 371 K.W. Morton (Ed.) htflewT International Conference no Numerical Methods ni Fluid Dynamics Conference the of Proceedings the at Held ytisrevinU Oxford, of dnalgnE no 9-13 1990 July ~.~ Springer-Verlag . New Heidelberg Berlin kroY London oykoT siraP Hong Kong Barcelona rotidE K.W. Morton ICFD, Numerical Analysis Group Oxford University Computing Laboratory 11 Keble Road, Oxford OXl 3QD, England ISBN 3-540-53619-1 Springer-Verlag Berlin Heidelberg NewYork ISBN 0-387-53619-1 Springer-Verlag NewYork Berlin Heidelberg This work is subject to copyright. rights All are reserved, whether the whole or of part the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction microfilms on or in other ways, and storage in data Duplication banks. of publication this or parts thereof is only permitted under the provisions Gtehrem oafn Copyright Loafw September 9, in 1965, its current version, and a copyright fee must always be paid. Violations fall utnhdee r prosecution acotf the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1990 Printed in Germany Printing: Druckhaus Beltz, Hemsbach/Bergstr. Bookbinding: .J Sch&ffer GmbH & Co. KG., Gr0nstadt 2153/3140-543210 - Printed on acid-free paper EDITOR'S PREFACE The present volume of Lecture Notes in Physics constitutes the Proceedings of the Twelfth International Conference on Numerical Methods in Fluid Dynamics, held at the University of Oxford, England on 9-13 July 1990. It has been arranged to reflect the layout of the conference, which gave particular emphasis to the six themes: Algorithm Development Parallel Computing Hypersonic Flows Transition and Turbulence Environmental Flows Propulsion Systems. Seven papers based on invited lectures appear first, in the order that they were given. Then all the contributed papers, which were presented in fourteen lecture sessions and twelve poster sessions, have been grouped under six topic headings. These are in the or- der that the topics first appeared on the conference programme and, under each heading, papers based on lectures appear first followed by those presented in poster/discussion sessions. An Author Index enables particular papers to be found qui&ly. The 141 contributed papers that were presented at the conference were selected, from 224 abstracts submitted from all over the world, by four paper selection committees. As Conference Chairman I am particularly indebted to these committees and their chair- men: M Holt (covering USA), V Rusanov (USSR, Eastern Europe), lZ Temam (Western Europe, Canada, Israel) and K Oshima (South Asia, Pacific Rim). The conference was attended by 261 people from 21 countries. Its success owes much to the efforts of the International Organising Committee, my associates M J Baines, T V Jones and L C Woods on the Local Organising Committee, and above all to Mrs Bette Byrne, the Conference Secretary, and our colleagues in the Oxford University Computing Laboratory. Thanks are also due to Bette Byrne for preparing the Proceedings and to Professor Dr W Beiglbgck and the editorial staff of Springer-Verlag for their assistance in this task. K W Morton Oxford, September 1990 Acknowledgements The Organising Committee wish to express their gratitude to the following organisa- tions for their generous financial support for the Conference and this volume: British Aerospace BP Research ICI Chemicals & Polymers Oxford University Press Rolls-Royce Sun Microsystems SU Office of Naval Research SU Air Force Office of Scientific Research The Royal Society, London K W Morton Oxford, September 0991 CONTENTS INVITED LECTURES B E LAUNDER: Turbulence Modelling for the Nineties: Second-Moment Closure ... and Beyond? ................................................. 1 B L ROZHDESTVENSKY, M I STOYNOV: Simulation of Turbulent Flows by Numerical Integration of Navier-Stokes Equations .................... 19 E KRAUSE: The Solution to the Problem of Vortex Breakdown .............. 35 J-P VEUILLOT, L CAMBIER: Computation Techniques for the Simulation of Turbomachinery Compressible Flows ................................. 51 A N STANIFORTH, J COTI~: Semi-Lagrangian Integration Schemes and their Application to Environmental Flows ..... : ......................... 63 T D TAYLOR: Computer Trends for CFD ................................... 80 T AKh Computation of Shock-Shock Interference Around a Cylindrical Leading Edge at Hypersonic Speeds ..................................... 90 CONTRIBUTED PAPER SESSIONS Transition, Turbulence and Solution of Navier-Stokes Equations T H PULLIAM, J A VASTANO: Chaotic Flow Over an Airfoil ............... 106 K P DIMITRIADIS, M A LESCHZINER: Modelling Shock/Turbulent- Boundary-Layer Interaction with a Cell-Vertex Scheme and Second-Moment Closure ............................................ 111 T DUBOIS, F JAUBERTEAU, R TEMAM: The Nonlinear Galerldn Method for the Two and Three Dimensional Navier-Stokes Equations ............ 116 G ERLEBACHER, M Y HUSSAINI, C G SPEZIALE, T A ZANG: On the Large-Eddy Simulation of Compressible Isotropic Turbulence ............ 121 Y NAKAMURA, J P WANG, M YASUHARA: A Calculation of the Compressible Navier-Stokes Equations in Generalized Coordinates by the Spectral Method ................................................ 127 D KWAK, S E ROGERS, C KIRIS, S YOON: Numerical Methods for Viscous Incompressible Flows ........................................... 132 vl G KURUVILA, M D SALAS: Three-Dimensional Simulation of Vortex Breakdown ............................................................. 137 S C R DENNIS, J D HUDSON: Accurate Finite-Difference Methods for Solving Navier-Stokes Problems Using Green's Identities ................ 142 M SANCHEZ, N K MITRA, M FIEBIG: Influence of Longitudinal Vortices on the Structure of the Three Dimensional Wake of a Partially Enclosed Body ......................................................... 147 F J BRANDSMA, J G M KUERTEN: The ISNaS Compressible Navier-Stokes Solver; First Results for Single Airfoils .................................. 152 T B GATSKI, E J KERSCHEN: Leading-Edge Effects on Boundary-Layer Receptivity ............................................................. 157 R ARINA, C CANUTO: The Viscous-Inviscid Coupling via a Self-Adaptive Domain Decomposition Technique ...................................... 162 N-H CHO, C A J FLETCHER, K SRINIVAS: Efficient Computation of Wing Body Flows ............................................................ 167 H I ANDERSSON, J T BILLDAL, P ELIASSON, A RIZZI: Staggered and Non-Staggered Finite-Volume Methods for Nonsteady Viscous Flows: A Comparative Study ........................................... 172 O M BELOTSEI~KOVSKII: Direct Numerical Modelling of Turbulence: Coherent Structures and Transition to Chaos ........................... 177 A KARAGEORGHIS, T N PHILLIPS: Conforming Chebyshev Spectral Collocation Methods for the Solution of the Incompressible Navier-Stokes Equations in Complex Geometries ........................ 179 I N SIMAKIN, S E GRUBIN: Direct Simulation of Transition and Turbulent Boundary Layer ........................................................ 181 H TOKUNAGA, K ICHINOSE, N SATOFUKA: Numerical Simulation of Transition to Turbulence Using Higher Order Method of Lines .......... 183 M FERRY, J PIQUET: A New Fully-Coupled Method for the Solution of Navier-Stokes Equations ................................................ 186 R RADESPIEL, N KROLL: A Multigrid Scheme with Semicoarsening for Accurate Computations of Viscous Flows ............................... 188 iiv G DANABASOGLU, S BIRINGEN, C L STREETT: Numerical Simulation of Spatially-Evolving Instability in Three-Dimensional Plane Channel Flow .................................................... 190 D PRUETT, G EI=LLEBACHER, L NG: Secondary Instability and Transition in Compressible Boundary Layers ....................................... 192 K B WINTERS, E A D'ASARO, J J RILEY: Three-Dimensional Internal Wave Breaking at a Critical Level ...................................... 195 F F GRINSTEIN, J P BORIS: Numerical Simulation of Transitional Bluff-Body Near-Wake Shear Flows ..................................... 197 V THEOFILIS, P W DUCK, D I A POLL: On the Stability of the Infinite Swept Attachment Line Boundary Layer ........................ 991 T KAJISHIMA, Y MIYAKE, T NISHIMOTO: Large Eddy Simulation of Turbulent Flow in a Duct of Square Cross Section ...................... 202 R I LEIGHTON, T F SWEAN JR: Direct Numerical Simulation of Turbulent Flow in an Open Channel .............................................. 205 H L CHEN, K OSHIMA: Direct Numerical Simulation of a Complicated Trmlsition-Breakdown of a Circular Pipe Flow through Axisymmetric Sudden Expansions ..................................................... 207 Y KATO, T SATO, T SAWADA, T TANAHASHI: Numerical Simulation of Unsteady Incompressible Viscous Flows by Improved GSMAC-FEM ..... 209 P LE QU~RI~, A DULIEU, T PHUOC LOC: Investigation of 2-D and 3-D Instability of the Driven Cavity Flow ................................... 211 B TROFF, T H Lt~, T PHUOC LOC: Numerical Simulation of Three- Dimensional Unsteady Incompressible Viscous Flow for Separated Configurations ......................................................... 213 G A OSSWALD, K N GHIA, U GHIA: Flow Over Arbitrary Axisymmetric Multi-Body Configurations, Using Direct Navier-Stokes Simulations .... 215 Algorithm Development and Parallel Computing A A SAMARSKY, A P FAVORSKY, V F TISHKIN, V F VASILEVSKY, K V VYAZNIKOV: Construction High Order Monotonous Difference Schemes on Nonregular Grids ................................ 219 IIIV H-C KU, A P ROSENBERG, T D TAYLOR: High-Order Time Integration Scheme and Preconditioned Residual Method for Solution of Incompressible Flow in Complex Geometries by the Pseudospectral Element Method ....................................................... 223 D J MAVRIPLIS: Turbulent Flow Calculations Using Unstructured and Adaptive Meshes ....................................................... 228 V VENKATAKRISHNAN, J H SALTZ, D J MAVRIPLIS: Parallel Preconditioned Iterative Methods for the Compressible Navier-Stokes Equations .......................................... .................... 233 P VAN RANSBEECK, C LACOR, C HIRSCH: A Multidimensional Cell- Centered Upwind Algorithm Based on a Diagonalization of the Euler Equations .............................................................. 238 P I CRUMPTON, J A MACKENZIE, K W MORTON, M A RUDGYARD, G J SHAW: Cell Vertex Multigrid Methods for };he Compressible Navier-Stokes Equations ................................................ 243 J Y YANG, C-A HSU, T H LEE: A Numerical Study of Thlrd-Order Nonoscillatory Schemes for the Euler Equations ......................... 248 M H CARPENTER: A High-Order Compact Numerical Algorithm for Supersonic Flows ....................................................... 254 HC YEE, P K SWEBY, D F GRIFFITHS: A Study of Spurious Asymptotic Numerical Solutions of Nonlinear Differential Equations by the Nonlinear Dynamics Approach .......................................... 259 M MEINKE, D HANEL: Simulation of Unsteady Flows ...................... 268 P L ROE, H DECONINCK, R J STRUIJS: Recent Progress in Multi- Dimensional Upwinding ................................................ 273 J LAMINIE, F PASCAL, R TEMAM: Nonlinear Galerkin Method with Finite Element Approximation ................................................ 278 H WU, K OSHIMA: Three-Dimensional Highly Accurate MmB Schemes for Viscous, Compressible Flow Problems ................................... 283 P O'BRIEN, M G HALL: A Comparison of the Effects of Grid Distortion on Finite-Volume Methods for Solving the Euler Equations ................ 287 J K DUKOWICZ, B J A MELTZ: Vorticity Errors in Multidimensional Lagrangian Codes ...................................................... 291 XI 3 P BORIS, E S ORAN, F F GRINSTEIN, E F BROWN, C LI, R KOLBE, R 0 WHALEY: Three Dimensional Laxge Eddy Simulations with Realistic Boundary Conditions Performed on a Connection Machine ..... 297 D TROMEUR-DERVOUT, L TA PHUOC, L MANE: A 3D Navier-Stokes Solver on Distributed Memory Multiprocessor ........................... 303 R W LELAND, J S ROLLETT: Parallel Extrapolation Methods for Computational Fluid Dynamics ......................................... 308 L B WIGTON, R C SWANSON: Variable Coefficient Implicit Residual Smoothing ............................................................. 313 E S ORAN, J P BORIS, D A JONES: Reactive-Flow Computations on a Connection Machine ............................................... 318 S YOON: Navier-Stokes Solvers Using Lower-Upper Symmetric Gauss-Seidel Algorithm .............................................................. 323 3 CASPER: An Extension of Essentially Non-Oscillatory Shock-Capturing Schemes to Multi-Dimensional Systems of Conservation Laws ........... 325 S-H CHANG: On a Modified ENO Scheme and Its Application to Conservation Laws with Stiff Source Terms ............................. 327 N CLARKE, D M INGRAM, D M CAUSON, R SAUNDERS: Convenient Entropy-Satisfying TVD Schemes with Applications ..................... 329 E DICK: Second Order Defect-Correction Multigrid Formulation of the Polynomial Flux-Difference Splitting Method for Steady Euler Equations .............................................................. 333 B ENGQUIST, B SJOGREEN: Projection Shock Capturing Algorithms ...... 335 P i/ WEINERFELT: Multigrid Technique Applied to the Euler Equations on a Multi-Block Mesh ................................................. 337 A J FORESTIER: Treatment of Inert and Reactive Flows by a TVD Formulation in 2D Space in Unstructured Geometry .................... 339 K NAKAHASHI, K EGAMI: Unstructured Upwind Approach for Complex Flow Computations .................................................... 342 L STOLCIS, L 3 JOHNSTON: Implementation fo a High Resolution TVD Scheme rof Compressible dicsivnI Flow on Unstructured Grids .......... 344 S T ZALESAK: Generalized Finite Volume (GFV) Schemes on Unstructured Meshes: Cell Averages, Point Values, and Finite Elements ............... 346 J LAVERY: Solution of Steady-State Conservation Laws by ll Minimization ........................................................... 348 C-C ROSSOW: Flux Balance Splitting -- A New Approach for a Cell Vertex Upwind Scheme ........................................................ 350 R STRUIJS, H DECONINCK, P DE PALMA: Multidimensional Upwind Schemes Using Fluctuation Splitting and Different Wave Models for the Euler Equations ......................................................... 352 R M S M SCHULKES: Interactions of a Viscous Fluid with an Elastic Solid: Eigenmode AnMysis .............................................. 355 R C HALL, D J DOORLY: Parallel Solution Procedures for Transonic Flow Computations .................................................... 357 LA BLINOVA, Yu E EGOROV, A E KUZNETSOV, M A ROTINIJAN, M Kh STRELETS, M L SHUR: Compressibility Scaling Method for Multidimensional Arbitrary Mach Number Navier-Stokes Calculations of Reactive Flows .... ...................................... 359 CK LOMBARD, S K HONG, J BARDINA, J OLIGER, S SUHR, J CAPORALETTI, W H CODDING, D WANG: Simple, Efficient Parallel Computing with Asyncl~ronous Implicit CFD Algorithms on Multiple Grid Domain Decompositions .................................. 361 D W FOUTCH, D R McCARTHY: Validation of an Upwind Euler Solver .... 363 J SHI, D HITCHINGS: Finite Element Analysis of Airfoil Immersed in a Sinusoidal Gust .................................................... 365 S A E G FALLE: Flame Capturing .......................................... 367 C BASDEVANT, M HOLSCHNEIDER, J LIANDRAT, V PERRIER, Ph TCHAMITCHIAN: Numerical Resolution of the Burgers Equation Using the Wavelet Transform ........................................... 369 B LI, M G SMITH, U T EHRENMARK, P S WILLIAMS: Application of Boundary Element Method to a ShMlow Water Model .................. 371 M O BRISTEAU, R GLOWINSKI, J PI~RIAUX, M RAVACHOL, Y XIANG: Stabilization of the Navier-Stokes Solutions via Control Tecbaliques ...... 373