ebook img

Flow Simulation with High-Performance Computers II: DFG Priority Research Programme Results 1993–1995 PDF

583 Pages·1996·17.405 MB·English
Save to my drive
Quick download
Download
Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.

Preview Flow Simulation with High-Performance Computers II: DFG Priority Research Programme Results 1993–1995

Flow Simulation with High-Performance Computersll Edited by Ernst Heinrich Hirschel Notes on Numerical Fluid Mechanics (NNFM) Volume 52 Series Editors: Ernst Heinrich Hirschel, Miinchen (General Editor) Kozo Fujii, Tokyo Bram van Leer, Ann Arbor Michael Leschziner, Manchester Maurizio Pandolfi, Torino Arthur Rizzi, Stockholm Bernard Roux, Marseille Volume 51 Numerical Treatment of Coupled Systems. Proceedings of the Eleventh GAMM-Seminar, K January 20-22,1995 (W. Hackbusch I G. Wittum, Eds.) Volume 50 Computational Fluid Dynamics on Parallel Systems. Proceedings of a CNRS-DFG Symposil in Stuttgart, December 9 and 10, 1993 (S. Wagner, Ed.) Volume 49 Fast Solvers for Flow Problems. Proceedings of the Tenth GAMM-Seminar, Kiel, January 14-16, 1994 (W. Hackbusch I G. Wittum, Eds.) Volume 48 Numerical Simulation in Science and Engineering. Proceedings of the FORTWIHR Symposium on High Performance Scientific Computing, Miinchen, June 17-18, 1993 (M. Griebel I Ch. Zenger, Eds.) Volume 47 Numerical Methods for the Navier-Stokes Equations (F.-K. Hebeker, R. Rannacher, G. Wittum, Eds.) Volume 46 Adaptive Methods - Algorithms, Theory, and Applications. Proceedings of the Ninth GAM] Seminar, Kiel, January 22-24,1993 (w. Hackbusch I G. Wittum, Eds.) Volume 45 Numerical Methods for Advection - Diffusion Problems (c. B. Vreugdenhil I B. Koren, Eds. Volume 44 Multiblock Grid Generation - Results of the EClBRlTE-EURAM Project EUROMESH, 1990-1992 (N. P. Weatherilll M. J. Marchant I D. A. King, Eds.) Volume 43 Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects Proceedings of the Fourth International Conference on Hyperbolic Problems, Taormina, Italy, April 3 to 8, 1992 (A. Donato I F. Oliveri, Eds.) Volume 42 EUROVAL - A European Initiative on Validation of CFD Codes . (w. Haase I F. Brandsma I E. Elsholz 1M. Leschziner I D. Schwamborn, Eds.) Volume 41 Incomplete Decompositions (ILU) - Algorithms, Theory, and Applications (w. Hackbusch I G. Wittum, Eds.) Volume 40 Physics of Separated Flow - Numerical, Experimental, and Theoretical Aspects (K. Gersten, Ed.) Volume 39 3-D Computation of Incompressible Internal Flows (G. Sottas II. L. Ryhming, Eds.) Volume 38 Flow Simulation on High-Performance Computers I (E. H. Hirschel, Ed.) Volume 37 Supercomputers and Their Performance in Computational Fluid Mechanics (K. Fujii, Ed.) Volume 36 Numerical Simulation of 3-D Incompressible Unsteady Viscous Laminar Flows (M. Deville IT.-H. L! I Y. Morchoisne, Eds.) Volume 35 Proceedings of the Ninth GAMM-Conference on Numerical Methods in Fluid Mechanio (J. B. Vos I A. Rizzi II. L. Ryhming, Eds.) Volume 34 Numerical Solutions of the Euler Equations for Steady Flow Problems (A. Eberle I A. Rizzi I E. H. Hirschel) Volume 33 Numerical Techniques for Boundary Element Methods (w. Hackbusch, Ed.) Volume 32 Adaptive Finite Element Solution Algorithm for the Euler Equations (R. A. Shapiro) Volume 31 Parallel Algorithms for Partial Differential Equations (w. Hackbusch, Ed.) Volumes 1 to 25, 45 are out of print. The addresses of the Editors and further titles of the series are listed at the end of the book. Flow Simulation with High-Performance ComputersD DFG Priority Research Programme Results 1993-1995 Edited by Ernst Heinrich Hirschel Die Deutsche Bibliothek - CIP-Einheitsaufnahme Flow simulation with high performance computers: DFG priority research programme results / ed. by Ernst Heinrich Hirschel. - Braunschweig; Wiesbaden: Vieweg. Frtiher u. d. T.: Flow simulation on supercomputers NE: Hirschel, Ernst Heinrich [Hrsg.]: Deutsche Forschungsgemeinschaft 2. 1993-1995. -1996 (Notes on numerical fluid mechanics; Vol. 52) NE:GT All rights reserved © Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, BraunschweigIWiesbaden, 1996 Softcover reprint of the hardcover 1st edition 1996 Vieweg ist a subsidiary company of Bertelsmann Professional Information. No part of this publication may be reproduced, stored in a retrieval system or transmitted, mechanical, photocopying or otherwise, without prior permission of the copyright holder. Produced by Langeltiddecke, Braunschweig Printed on acid-free paper ISSN 0179-9614 ISBN 978-3-322-89851-7 ISBN 978-3-322-89849-4 (eBook) DOl: 10.1007/ 978-3-322-89849-4 Foreword This volume contains thirty-seven reports on work, which was conducted between 1993 and 1995 in the Priority Research Programme "Flow Simulation with High-Perfonnance Computers" of the Deutsche Forschungsgemeinschaft (DFG, Gennan Research Society), 1989 to 1995. The main purpose of this pUblication is to give an overview over the work conducted in the second half of the programme, and to make the results obtained available to the public. The reports are grouped under the four headings "Flow Simulation with Massively Parallel Systems", "Direct and Large-Eddy Simulation of Turbulence", "Mathematical Foundations, General Solution Techniques and Applications" and "Results of Benchmark Computations". All contributions to this publication have been reviewed by a board consisting of F. Durst (Erlangen), R. Friedrich (Miinchen), D. Hanel (Duisburg), R. Rautmann (Paderbom), H. Wengle (Mtinchen), and the editor. The responsibility for the contents of the reports nevertheless lies with the authors. E.H. Hirschel Editor Preface The Deutsche Forschungsgemeinschaft (DFG) sponsored the development of numeri cal simulation techniques in fluid mechanics since 1989 in a Priority Research Program "Flow Simulation with High-performance Computers". The major results obtained in this program until 1992 were published in summarizing articles in Volume 38 of the "Notes on Numerical Fluid Mechanics" of the Vieweg Verlag. The present volume summarizes the results of the second half of the program, which completed its investigations December 1995. The problems studied included developments of solution techniques as well as ap plications. Altogether 35 projects were supported. It is worthwhile to point out, that 13 projects concentrated on the parallelization of algorithms and related work. The program thereby stimulated research in this relatively new branch of computational fluid dynamics in Germany with marked success. Development of general solution techniques and their application were pursued in 17 projects, and the remainder 5 projects were devoted to the development of simulation techniques for transitional and turbulent flows. The work on parallel solution techniques included development of a time and space multi-grid method, of parallel finite element methods for the solution of the Navier-Stokes equations, performance enhancement of parallelized algorithms, adaptive operator techniques, and parallel interactive and integrated visualization techniques. The applications of par a1lelized algorithms comprised simulation of turbulent flow, of various viscous incompress ible flows, of unsteady flows in turbomachinery, of chemically reacting flow, and of aerody namic .f lows. The work on other solution techniques included approximations in high order norms, low Mach number solutions based on asymptotic analysis, solutions based on the artificial compressibility concept, on higher order upwind schemes on unstructured grids, and others. The applications included simulation of aerodynamic and of hypersonic flows, of flows in turbomachinery and other complex internal flows. The investigations of transitional and turbulent flows were aimed at direct simulation of internal compressed turbulent flow and of separated flows; at large-eddy simulation of near-wall turbulence, of turbulent flows in curved pipes, and of turbulent boundary-layer flow over a hemisphere. The cooperation with the Groupment de Recherche Mecanique des Fluides Numerique of the French Centre National de la Recherche Scientifique (CNRS) was continued. The second joint workshop was held May 3 -5 1993 in Lambrecht (Pfalz) on the topic "Three Dimensional Flow -Alternative Formulations and Solution of the Conservation Equations". At this occasion several representatives of the CNRS and the DFG under the chairmanship of one of the vice presidents of the DFG, Prof. S. Wittig, met and discussed possibilities of cooperation. Agreement was reached on the following points: Cooperation in 10 joint projects within the frame of existing programs; participation of a French representative in the meetings of the German reviewing board and vice versa; organization of a joint meeting in Sophia-Antipolis at the end of 1994 with the aim of preparing a joint CNRS-DFG research program on computational fluid dynamics. A third joint CNRS-DFG workshop was organized December 9 - 10, 1993 at Stutt gart University under the topic "Computational Fluid Dynamics on Parallel Systems". The contributions were published in volume 50 of the "Notes on Numerical Fluid Dynamics" of the Vieweg Verlag under the title of the workshop. They were edited by S. Wagner of Stuttgart University. The fourth workshop was held in Sophia-Antipolis November 25 -26, 1994. As proposed in Lambrecht one year earlier, 20 projects for a prospective joint program entitled "Numerical Flow Simulation, A French -German Research Initiative" were discussed in the presence of official representatives of the CNRS and the DF G, and in March 1995 a proposal for such a program was submitted to the CNRS and the DFG under the title "Joint French - German Research Program: Numerical Flow Simulation". The individual proposals were reviewed by a French -German reviewing board November 27, 1995 and submitted for final decision to the CNRS and the DFG. The DFG Priority Research Program "Flow Simulation on High-Performance Computers" substantially stimulated and fostered research in this field over a long period of time. It was a safe stepping stone for initiating and supporting work on paralellization. It brought together engineers and applied mathematicians in fruitful cooperation. The program helped to maintain international competiveness in flow research and markedly fastened the ties to the corresponding French program. It is with great pleasure, that the undersigned take this opportunity to thank: the DFG for supporting work on numerical flow simulation over more than six years. The efforts of the reviewers, Profs. Dr. G. Bohme and Dr. R. Rannacher are gratefully acknowledged. Their invaluable expertise helped to shape the program in many ways. They stimulated interdisciplinary discussion between engineers and mathematicians, who participated in the program. Their efforts are reflected in the articles published in this volume. Without the continuous help and far-sighted administering of the program by Dr. W. Lachenmeier it would have been impossible to maintain continuity in the research activities over the years. We thank: him for his efforts. Finally the Vieweg Verlag is gratefully acknowledged for publishing the results in the Notes on Numerical Fluid Mechanics, and Prof. Dr. E. H. Hirschel for editing this volume. Bonn-Bad Godesberg, January 1996 E.Krause E. A. Muller COmENTS Page I. FLOW SIMULATION WITH MASSIVELY PARALLEL SYSTEMS ..... . M. Schafer: Introduction to Part I ................................................................................. 3 1. Burmeister, W. Hackbusch: On a Time and Space Parallel Multi-Grid Method Including Remarks on Filtering Techniques .................................................................... 5 O. Dorok, V. John, U. Risch, F. Schieweck, L. Tobiska: Parallel Finite Element Methods for the Incompressible Navier-Stokes Equations ............................................. 20 M. Griebel, W. Huber, C. Zenger: Numerical Turbulence Simulation on a Parallel Computer Using the Combination Method ...................................................................... 34 F. Lohmeyer, O. Vornberger: CFD with Adaptive FEM on Massively Parallel Systems .............................................................................................................................. 48 M. Lenke, A. Bode, T. Michl, S. Wagner: On the Performance Enhancements of a CFD Algorithm in High Performance Computing .................................................. 64 F. Durst, M. Schafer, K. Wechsler: Efficient Simulation of Incompressible Viscous Flows on Parallel Computers ........................................................................................... 87 J. Hofhaus, M. Meinke, E. Krause: Parallelization of Solution Schemes for the Navier-Stokes Equations ................................................................................................... 102 K. Engel, F. Eulitz, S. Pokorny, M. Faden: 3-D Navier-Stokes Solver for the Simulation of the Unsteady Turbomachinery Flow on a Massively Parallel Hardware Architecture .................................... .................................................................. 117 H. Rentz-Reichert, G. Wittum: A Comparison of Smoothers and Numbering Strategies for Laminar Flow Around a Cylinder ............................................................. 134 G. Bader, E. Gehrke: Simulation of Detailed Chemistry Stationary Diffusion Flames on Parallel Computers .......................................................................................... 150 I.S. Doltsinis, J. Urban: An Adaptive Operator Technique for Hypersonic Flow Simulation on Parallel Computers ................................................................................... 165 J. Argyris, H.U. Schlageter: Parallel Interactive and Integrated Visualisation ............ 184 C. Meiselbach, R. Bruckschen: Interactive Visualization: On the Way to a Virtual Wind Tunnel ....................... " ............................................................................................ 203 CONTENTS (continued) Page IL DIRECT AND LARGE·EDDY SIMULATION OF TURBULENCE .......... 209 C. Hartel: Introduction to Part IT ............ .............. ............................ ...... .............. ......... 211 E. Giintsch, R. Friedrich: Direct Numerical Simulation of Turbulence Compress sed in a Cylinder ..................................................................................................................... 213 C. MaaS, U. Schumann: Direct Numerical Simulation of Separated Turbulent Flow Over a Wavy Boundary .................................................................................................... 227 C. Hartel, L. Kleiser: Large-Eddy Simulation of Near-Wall Turbulence ..................... 242 M. Breuer, W. Rodi: Large Eddy Simulation for Complex Turbulent Flows of Practical Interest ................................................................................................................ 258 M. Manhart, H. Wengle: Large-Eddy Simulation and Eigenmode Decomposition of Turbulent Boundary Layer Flow Over a Hemisphere ..................................................... 275 m. MATHEMATICAL FOUNDATIONS, GENERAL SOLUTION TECHNIQUES AND APPLICATIONS ........................................................... 291 M. Meinke: Introduction to Part ITI .............................................................................. 293 R. Rautmann: Navier-Stokes Approximations in High Order Norms ........................... 295 S. Blazy, W. Borchers, U. Dralle: Parallelization Methods for a Characteristic's Pressure Correction Scheme ................. .................. .................................. .............. .......... 305 K. Steiner: Weighted Particle Method Solving Kinetic Equations for Dilute Ionized Gases ................................................................................................................................. 322 KJ. Geratz, R. Klein, C.D. Munz, S. Roller: Multiple Pressure Variable (MPV) Approach for Low Mach Number Flows Based on Asymptotic Analysis ..................... 340 M. Weimer, M. Meinke, E. Krause: Numerical Simulation of Incompressible Flows with the Method of Artificial Compressibility .............................................. .................. 355 M. Wierse, D. Kroner: Higher Order Upwind Schemes on Unstructured Grids for the Nonstationary Compressible Navier-Stokes Equations in Complex Timedependent Geometries in 3-D .................................................................................. 369 CONlENTS (continued) Page L. Xue, T. Rung, F. Thiele: Improvement and Application of a Two Stream- Function Fonnulation Navier-Stokes Procedure .............................................................. 385 R. Hentschel, E.H. Hirschel: AMRFLEX3D-Flow Simulation Using a Three- Dimensional Self-Adaptive, Structured Multi-Block Grid System ................................. 400 Z. Lilek, M. Peric, V. Seidl: Development and Application of a Finite Volume Method for the Prediction of Complex Flows ................................................................. 416 R. Vilsmeier, D. Hanel: Computational Aspects of Flow Simulation on 3-D, Unstructured, Adaptive Grids ........................................................................................... 431 C. Roehl, H. Simon: Flow Simulations in Aerodynamically Highly Loaded Turbomachines Using Unstructured Adaptive Grids ....................................................... 446 W. Evers, M. Heinrich, I. Teipel, A.R. Wiedermann: Flow Simulation in a High Loaded Radial Compressor .............................................................................................. 461 H. Greza, S. Bikker, W. Koschel: Efficient FEM Flow Simulation on Unstructured Adaptive Meshes ............................................................................................................... 476 J. Gronner, E. von Lavante, M. Hilgenstock, M. Kallenberg; Numerical Methods for Simulating Supersonic Combustion ..... ,..................................................................... 491 D. Nellessen, O. Britten, S. Schiechtriem, J. Ballmann: Aeroelastic Computations of a Fokker-Type Wing in Transonic Flow..................................................................... 501 E. Laurin, J. Wiesbaum: Three-Dimensional Numerical Simulation of the Aerothermodynamic Reentry ........ .................. ........ ...... .............. .......................... ............ 517 S. Briick, O. Brenner, D. Rues, D. Schwam born: Investigations of Hypersonic Flows Past Blunt Bodies at Angle of Attack .................................................................. 530 IV. RESULTS OF BENCHMARK COMPUTATIONS ....................................... 545 M. Schafer, S. Turek (and F. Durst, E. Krause, R. Rannacher): Benchmark Computations of Laminar Flow Around a Cylinder ....................................................... 547 F. Durst, M. Fischer, 1. Jovanovic, H. Kikura, C. Lange: LOA Measurements in the Wake of a Circular Cylinder ................................................................................. 556

See more

The list of books you might like

Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.