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Computational Fluid Dynamics Review 2010 TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk Computational Fluid Dynamics Review 2010 edited by M. M. Hafez University of California, Davis, USA K. Oshima University of Tokyo, Japan D. Kwak NASA Ames Research Center, USA ,Ii» World Scientific NEW JERSEY· LONDON· SINGAPORE· BEIJING· SHANGHAI· HONG KONG· TAIPEI· CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. COMPUTATIONAL FLUID DYNAMICS REVIEW 2010 Copyright © 2010 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-981-4313-36-0 ISBN-IO 981-4313-36-X Printed in Singapore by Mainland Press Pte Ltd. v PREFACE This volume of CFD Review consists of 25 papers covering different areas of current interest. The authors are from: USA (5), Europe (11), and Asia (9) representing academia, industry, and research centers. The volume is divided into seven sections: Section 1: Unstructured Grids and Adaptive Finite Element Methods (3) Section 2: High-Order Efficient Schemes (8) (Discontinuous Galerkin, Residual Distribution, Fluctuating Splitting, WENO Schemes and Multi-dimensional Limiters) Section 3: Simulations of Turbulent Flows and Orthogonal Decomposition Method (2) Section 4: Chemically Reacting Flows (2) Section 5: Aero-acoustics (2) Section 6: Optimization Techniques (2) Section 7: Special Topics (6) (CFD in Japan, Magneto-Fluid-Dynamics, Stability of Transonic Flows, Level Set Method for Bi-Fluid Dynamics, Multi-scale Analysis of Particle Growth and Wavelet Methods for CFD) The Editors hope that these papers will help the researchers in their respective fields to advance the state-of-the-art of CFD. M. Hafez K. Oshima D. Kwak University of California, Davis University of Tokyo NASA Ames Research Center TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk vii CONTENTS Preface v Section 1: Unstructured Grids and Adaptive Finite Element Methods Chapter 1 Simulating Steady State and Transient Aerodynamics Flows Using Unstructured Meshes and Parallel Computers B. J. Evans, O. Hassan, J. W. Jones, K. Morgan and L. Remaki .......................................................... . Chapter 2 Numerical Simulation of Fluid Movement in an Hourglass by an Energy-Stable Finite Element Scheme M. Tabata. .... ..... .... ......... .... ..... .... .... .... .... ..... ...... 29 Chapter 3 Adaptive Finite Element Discretization of Flow Problems for Goal-Oriented Model Reduction R. Rannacher . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . 51 Section 2: High-Order Efficient Schemes Chapter 4 Recovery Discontinuous Galerkin Jacobian-Free Newton-Krylov Method for Multiphysics Problems R. Nourgaliev, H. Park and V. Mousseau........................ 71 Chapter 5 A Numerical Diffusion Flux for Finite Volume and Discontinuous Ga1erkin Schemes Based on the Diffusive Riemann Problem G. Gassner, F. Larcher and C.-D. Munz......................... 91 Chapter 6 A BGK-Based Discontinuous Galerkin Method for the Navier-Stokes Equations on Arbitrary Grids H. Luo, L. Luo and K. Xu.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .... 103 Vlll Chapter 7 Construction of High Order Residual Distribution Schemes R. Abgrall, A. Larat and M. Ricchiuto ............................ 123 Chapter 8 Recent Developments in High-Order-Accurate Fluctuation Splitting Schemes G. Rossiello, P. De Palma, G. Pascazio and M. Napolitano ...................................................... 221 Chapter 9 Implicit Implementation of Variant WENO Schemes for Compressible Flow Computations 1. Y. Yang, T.-I. Hsieh and 1. C. Huang .......................... 241 Chapter lO The Development of the Characteristic-Wise Hybrid Compact-WENO Scheme for Solving the Euler and Navier-Stokes Equations Z-S. Sun and Y.-x. Ren ............................................ 279 Chapter 11 Multi-Dimensional Limiting Process for Flow Physics Analyses on Structured and Unstructured Grids C. Kim ............................................................... 297 Section 3: Simulations of Turbulent Flows and Orthogonal Decomposition Method Chapter 12 Coping with Uncertainty in Turbulent Flow Simulations P. Sagaut ............................................................ 317 Chapter 13 Numerical Investigation and Proper Orthogonal Decomposition of Forced Convective Heat Transfer from Staggered Circular Cylinders S. Tomkratoke and S. Sirisup ...................................... 345 Section 4: Chemically Reacting Flows Chapter 14 Efficient Parallel Fully Coupled Solver for Multicomponent Turbulent Reacting Flows T. Belmrabet, M. Talice, G. Delussu and S. Hanchi ............. 357 IX Chapter 15 Time-Accurate Computational Analysis of Ignition Overpressure in Flame Trench C. Kiris, 1. Housman, M. Gusman, W. Chan and D. Kwak ............................................................. 377 Section 5: Aero-acoustics Chapter 16 Aeroacoustics Investigation of Woodwind Instruments Based on Discontinuous Galerkin Methods A. Richter, E. BrufJies, 1. Stiller and R. Grundmann ............ 399 Chapter 17 Recent Efforts in Rocket Plume Acoustics T. Nonomura and K. Fujii ......................................... 421 Section 6: Optimization Techniques Chapter 18 Challenges in Aerodynamic Optimization E. Arian and A. lalla ............................................... 447 Chapter 19 Robust Multidisciplinary Design Optimisation Using CFD and Advanced Evolutionary Algorithms D. Lee, K. Srinivas, L. F. Gonzalez, 1. Periaux and S. Obayashi......................................................... 469 Section 7: Special Topics Chapter 20 Forty Years of CFD in Japan: Personal Overview N. Satofuka.... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 493 Chapter 21 Computational Magneto-Fluid-Dynamics for Flow Control 1. S. Shang .......................................................... 517 Chapter 22 Aerodynamic Surfaces Admitting Jumps of the Lift Coefficient in Transonic Flight A. G. Kuz 'min ....................................................... 543 x Chapter 23 A Level-Set Method for Three Dimensional Bifluid Flows Evolving in Square Micro Channels C-H. Bruneau, T. Colin and S. Tancogne ........................ 563 Chapter 24 Micro and Macro Scale Technique for Particle Growth Simulation A. Markov ........................................................... 583 Chapter 25 Adaptive Wavelet Method for Euler Equation Solution Algorithm H. Kang, K. Kim, D. Lee and D. Lee.. .. .. .. .. .. .. .. .. .. .. .. .. ... 601