Proceedings of the Eighth GAMM~onference on Numerical Methods in Fluid Mechanics

Edited by Pieter Wesseling

Notes on Numerical Fluid Mechanics (NNFM) Series Editors: Ernst Heinrich Hirschel, Miinchen

Kozo Fujii, Tokyo Keith William Morton, Oxford Earll M. Murman, M.I.T., Cambridge Maurizio Pandolfi, Torino Arthur Rizzi, Stockholm Bernard Roux, Marseille (Adresses of the Editors: see last page)

Volume 29

Volume 6 Numerical Methods in Laminar F1ame Propagation (N.Peters/ J .Warnatz, Eds.) Volume 7 Proceedings of the Fifth GAMM-Conference on Numerical Methods in F1uid

Mechanics (M.Pandolfi/R.Piva, Eds.) Volume 8 Vectorization of Computer Programs with Applications to Computational F1uid

Dynamics (W.Gentzsch) Volume 9 Analysis of Laminar Flow over a Backward Facing Step (K. Morgan/ J.Periaux/

F. Thomasset, Eds.) Volume 10 Efficient Solutions of ElliptiC Systems (W.Hackbusch, Ed.) Volume 11 Advances in Multi-Grid Methods (D.Braess/W.Hackbusch/U.Trottenberg, Eds.) Volume 12 The Efficient Use of Vector Computers with Emphasis on Computational F1uid

Dynamics (W. SchOnauer /W. Gentzsch, Eds.) • Volume 13 Proceedings of the Sixth GAMM-Conference on Numerical Methods in F1uid

Mechanics (D. Rues/W.Kordulla, Eds.) (out of print) Volume 14 Finite Approximations in F1uid Mechanics (E.H.Hirschel, Ed.) Volume 15 Direct and Large Eddy Simulation of Turbulence (U. Schumann/ R.Friedrich, Eds.) Volume 16 Numerical Techniques in Continuum Mechanics (W.Hackbusch/K.Witsch, Eds.) Volume 17 Re~arch in Numerical F1uid Dynamics (P.Wesseling, Ed.) Volume 18 Numerical Simulation of Compressible Navier-Stokes Flows (M.O.Bristeau/

R. Glowinski / J. Periaux / H. Viviand, Eds.) Volume 19 Three-Dimensional Turbulent Boundary Layers - Calculations and Experiments

(B. van den Berg/D. A.Humphreys/E.Krause/ J.P.F. Lindhout) Volume 20 Proceedings of the Seventh GAMM-Conference on Numerical Methods in F1uid

Mechanics (M.Deville, Ed.) Volume 21 Panel Methods in F1uid Mechanics with Emphasis on Aerodynamics (J.Ballmann/

R.Eppler /W. Hackbusch, Eds.) Volume 22 Numerical Simulation of the Transonic DFVLR-F5 Wing Experiment (W.Kordulla, Ed.) Volume 23 Robust Multi-Grid Methods (W.Hackbusch, Ed.) Volume 24 Nonlinear Hyperbolic Equations - Theory, Computation Methods, and Applications

(J.Ballmann/R.Jeltsch, Eds.) Volume 25 Finite Approximations in F1uid Mechanics II (E. H. Hirschel, Ed.) Volume 26 Numerical Solution of Compressible Euler F10ws (A. Dervieux/ B. Van Leer /

J. Periaux / A. Rizzi, Eds.) Volume 27 Numerical Simulation of Oscillatory Convection in Low-Pr F1uids (B. Roux, Ed.) Volume 28 Vortical Solutions of the Conical Euler Equations (K.G.Powell) Volume 29 Proceedings of the Eighth GAMM-Conference on Numerical Methods in F1uid

Mechanics (P.Wesseling, Ed.) Volume 30 Numerical Treatment of the Navier-Stokes Equations (W. Hackbusch/

R.Rannacher, Eds.)

Proceedings of the Eighth GAMM -Conference on Numerical Methods in Fluid Mechanics

Edited by Pieter Wesseling

II Springer Fachmedien Wiesbaden GmbH

Manuscripts should have well over 100 pages. As they will be reproduced photomechanically they should be typed with utmost care on special stationary which will be supplied on request. In print, the size will be reduced linearly to approximately 75 per cent. Figures and diagramms should be lettered accordingly so as to produce letters not smaller than 2 mm in print. The same is valid for handwritten formulae. Manuscripts (in English) or proposals should be sent to the general editor Prof.Dr.E.H.Hirschel, Herzog-Heinrich-Weg 6, D-8011 Zorneding.

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All rights reserved © Springer Fachmedien Wiesbaden 1990 Originally published by Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1990 Softcover reprint of the hardcover 1st edition 1990

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ISBN 978-3-528-07629-0 ISBN 978-3-663-13975-1 (eBook) DOI 10.1007/978-3-663-13975-1

PREFACE

This volume contains the Proceedings of the Eighth GAMM Conference on

Numerical Methods in Fluid Mechanics, held in Delft, The Netherlands, September

27-29, 1989, at Delft University of Technology. This international conference is organized bi-annually at various locations in Europe by the Committee on Numerical

Methods in Fluid Dynamics of the Gesellschaft fiir Angewandte Mathematik und

Mechanik, chaired at present by W. Kordulla. At the moment, the organizing

committee draws its-members from ten European countries.

The conference attracted a worldwide attendance of about 140 registered partici­

pants. The book contains the written versions of the 61 papers that were presented

and a report on the GAMM-Workshop "Numerical Simulation of Oscillatory Convec­

tion in Low-Pr Fluids" held in Marseille, October 12-14, 1988. The organizing committee had a difficult task in selecting the papers from 145 submitted abstracts.

In view of the high quality of the abstracts it was decided to allow more papers than

in previous conferences in this series.

The contents of this volume reflect current trends in computational fluid

dynamics. The renaissance of hypersonic aerodynamics manifests itself clearly,

strongly stimulated in Europe by the Hermes project and plans for a later future.

Notable advances are reported in adaptive and multigrid computing methods, visual­

ization and computing in three space dimensions.

The local organization was taken care of by the Congress Office of Delft Universi­

ty of Technology, under the able directorship of Mrs. M.H.P. Komen-Zimmerman

and Mrs. A. de Bruin.

The conference was supported financially by the follOwing sponsors: Royal

Academy of Sciences, Shell International Petroleum Company Ltd., N.V. Nederlandse

Gasunie, Philips Research Laboratories, IBM Nederland N.V., AKZO, Gesellschaft

fUr Angewandte Mathematik und Mechanik, Office of Naval Research Branch Office

London, Delft University of Technology. This support is gratefully acknowledged.

P. Wesseling, conference chairman and editor

W.J. Bannink, conference secretary Delft, October 30, 1989

v

CONTENTS

R. ABGRALL : Extension of Roe's Approximate Riemann Solver to

Equilibrium and Nonequilibrium Flows

J.1. VAN DEN BERG, J.W. BOERSTOEL : Development and Validation

of Characteristic Boundary Conditions for Ce1l-Centered Euler Flow

Calculations

M.B. BIETERMAN, J.E. BUSSOLETTI, C.L. mLMES, F.T. JOHNSON,

R.G. MELVIN, S.S. SAMANT, D.P. YOUNG: Solution Adaptive Local

Rectangular Grid Refinement for Transonic Aerodynamic Flow

Problems

G. BRENNER, S. RIEDELBAUCH, B. MULLER: Numerical Simulation of

Laminar Hypersonic Flow Past Blunt Bodies Including High Temperature

Effects

M. BREUER, D. HANEL: Solution. of the 3-D, Incompressible Navier-8tokes

Equations for the Simulation of Vortex Breakdown

D. CLAES, W. LEINER: Computation of Viscous Free-Surface Flow Around

a Single Bubble

N. CLARKE, R. SAUNDERS, D.M. CAUSON : A Convenient Entropy

Satisfying T.V.D. Scheme for Computational Aerodynamics

V. COUAILLIER: Multigrid Method for Solving Euler and Navier­

Stokes Equations in Two and Tree Dimensions

C.P . VAN DAM,. M. HAFEZ, D. BRUCKER, S. ELLI : Unsteady Viscous Flow

Calculations Including Surface Heating and Cooling Effects

I. DEMIRDZIC, R.1. ISSA, Z. LILEK : Solution Method for Viscous Flows

at All Speeds in Complex Domains

Page

1

11

22

32

42

52

61

69

79

89

VII

E. DICK, J. LINDEN: A Multigrid Flux-Difference Splitting Method for

Steady Incompressible Navier-Stokes Equations

P. ELIASSON, A. RIZZI: Hypersonic Leeside Flow Computations Using

Centered Schemes for Euler Equations

B. FA YINI : Assessment and Improvement of Fast Euler Solver

C. FLAMENT : Chemical and Vibrational Non-Equilibrium Nozzle Flow

Calculation by an Implicit Upwind Method

L. FUCHS: Calculation of Flow Fields Using Overlapping Grids

S. FUJINO, T. TAMURA, K. KUWAHARA: Multicolored Poisson Solver

for Fluid Flow Problems

N. GLINSKY, L. FEZOUI, M.C. CICCOLI, J-A. DESIDERI : Non­

Equilibrium Hypersonic Flow Computations by Implicit

Second-Order Upwind Finite-Elements

P.M. GOORJIAN, S. OBAYASHI: A Streamwise Upwind Algorithm

Applied to Vortical Flow Over a Delta Wing

F. GRASSO, P .A. GNOFFO : A Numerical Study of Hypersonic Stagnation

Heat Transfer Predictions at a Coordinate Singularity

W. HAASE: Viscous, Hypersonic Flows over Compression Ramps

J.B.A.M. HORSTEN, A.A. VAN STEENHOVEN, D.H. VAN CAMPEN:

A Fluid- Structure Interaction Model for Heart Valves with a

Single Degree of Freedom

C.-M. HUNG, Simulation of glancing shock wave and boundary layer

interaction

VII'

99

109

119

128

138

148

159

169

179

189

201

211

J.M.J.W. JACOBS, H.W.M. HOEIJMAKERS : Aspects of the Application

of an Euler-Equation Method to the Simulation of Leading-Edge

Vortex Flow

K. KATSURAGI, O. UKAI: An Incompressible Inner Flow Analysis by

Absolute Differential Form of Navier-Stokes Equation on a Curvilinear

221

Coordinate System 233

R. KLEIN, C.D. MUNZ, L. SCHMIDT: A Numerical Study of Interfacial

Instabilities at High Mach Numbers

N. KROLL, R. RADESPIEL, C.--C. ROSSOW: Experiences with Explicit

Time-8tepping Schemes for Supersonic Flow Fields

D. KRONER: About Splitting and Non-Splitting Schemes for Conservation

Laws in 2-D

H. KUDELA : The Influence of Surface-Tension Effects on Using Vortex

Method in the Study of Rayleigh-Taylor Instability

J.L. KUYVENHOVEN, J.W. BOERSTOEL: 3D Euler Flows Around

Modern Airplanes

E. VON LAVANTE, A. EL-MILIGUI, F.E. CANNIZARO, H.A. WARDA:

Simple Explicit Upwind Schemes for Solving Compressible Flows

S.L. LAWRENCE, D.S. CHAUSSEE, J.C. TANNEHILL: Development of a

Three-Dimensional Upwind Parabolized Navier-Stokes Code

M.LAZAREFF, J.C. LE BALLEUR: Development ofthe MZM Numerical

Method for 3D Boundary Layer with Interaction on Complex

Configurations

Y.P. MARX: Numerical Simulation of Turbulent Flows around Airfoil

and Wing

C. MA VRIPLIS : A Posteriori Error Estimators for Adaptive Spectral

Element Techniques

242

252

262

273

283

293

303

313

323

333

IX

D.R. MCCARTHY, D.W. FOUTCH: An Alternate Domain Coupling

Procedure for CFD

S. MENNE, C. WEILAND: Split-Matrix Marching Methods for Three­

Dimensional Viscous and Inviscid Hypersonic Flows

J. MEYER, A. SEVRAIN, H.C. BOISSON, H. HA MINH: Numerical

Simulation of the Near Field of a Plane Jet

V. MICHELASSI, F. MARTELLI: Efficient Solution of Turbulent

Incompressible Separated Flows

J. MICHELSEN: Multigrid-Based Grid-Adaptive Solution of the

343

353

363

313

Navier-8tokes equations 391

G. MORETTI, M. V ALORANI : Inviscid Flow About a Double Ellipse 401

B. MULLER: Implicit Upwind Finite-Difference Simulation of Laminar

Hypersonic Flow Over Flared Cones

CH. MUNDT, M. PFITZNER, M.A. SCHMATZ: Calculation of Viscous

Hypersonic Flows Using a Coupled Euler / Second Order Boundary

Layer Method

M. NAPOLITANO, G. PASCAZIO : A Multigrid LGS Method for the

Vorticity-Velocity Navier-8tokes Equations

P. ORLANDI: Numerical Simulation of Vortices Motion in Presence

of Solid Boundaries

A. ORTH, B. SCHONUNG : Calculation of 3-D Laminar Flows with

Complex Boundaries Using a Multigrid Method

B. PALMERIO, C. OLIVIER, A. DERVIEUX: On the Relation Between

TVD and Mesh Adaption and Application to Navier-8tokes

Calculations

x

411

419

430

436

446

454

J. PIQUET, P. QUEUTEY : Computation of the Viscous Flow Past a

Prolate Spheroid at Incidence

N. QIN, B.E. RICHARDS: Sparse Quasi-Newton Method for Navier­

Stokes Solution

M. SANCHEZ, N.K. MITRA, M. FIEBIG: Numerical Investigation of

Three-Dimensional Laminar Flows in a Channel with a Built-in

Circular Cylinder and Wing-Type Vortex Generators

G.H. SCHMIDT: A Dynamic Grid Generator and a Multi-Grid Method

for Numerical Fluid Dynamics

B. SCHULTE-WERNING, U. DALLMANN, B. MULLER: Some Aspects

of the Numerical Simulation of Compressible Viscous Flow Around

Bluff Bodies at Low Ma-Number

YU.1. SHOKIN, G.S. KHAKIMZYANOV: Numerical Calculation of

Stationary Subsonic Gas Dynamics Problems

S.P. SPEKREIJSE, R. HAGMEIJER : Derivation of a Roe Scheme for an

N-Species Chemically Reacting Gas in Thermal Equilibrium

R. STRUIJS, H. DECONINCK : Multidimensional Upwind Schemes for the

Euler Equations Using Fluctuation Distribution on a Grid Consisting

of Triangles

F.F. VAN DER VLUGT, D.A. VAN DELFT, A.F. BAKKER,

A.M. LA,NKHORST : Calculation of a Buoyancy-Driven 3D Cavity

Flow Using a Multi-Processor System

J.B. VOS, E. BONOMI, C.M. BERGMAN: A 2D Euler Solver for Real

Gas Flows Using an Adaptive Grid

R.F. WARMING, 'R.M. BEAM: An Eigenvalue Analysis of Finite­

Difference Approximations for Hyperbolic IBVPs

464

474

484

493

503

513

522

533

544

554

564

XI

G. WITTUM : The Use of Fast Solvers in Computational Fluid

Dynamics

H. WU, S. YANG: MmB - A New Class of Accurate High Resolution

Schemes for Conservation Laws in Two Dimensions

L. XUE, F. TmELE: An Inverse Boundary Layer Procedure with

Application to 3-D Wing Flow

N.J. YU, H.C. CHEN, T.Y. SU, T.J. KAO : Development of a General

Multiblock Flow Solver for Complex Configurations

B. ROUX : Report on Workshop: "Numerical Simulation of Oscillatory

Convection in Low-Pr Fluids"

XII

574

582

592

603

613