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
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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