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- Herausgeber: John Wiley & Sons
- Kategorie: Wissenschaft und neue Technologien
- Sprache: Englisch
Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction.
Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution.
This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.
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Seitenzahl: 339
Veröffentlichungsjahr: 2022
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Table of Contents
Cover
Title Page
Copyright
Acknowledgments
Introduction
1 CFD Numerical Models
1.1. Compressible flow
1.2. Viscous compressible flows
1.3. A multi-fluid incompressible model
1.4. Appendix: circumcenter cells
1.5. Notes
2 Mesh Convergence and Barriers
2.1. Introduction
2.2. The early capturing property
2.3. Unstructured meshes in finite element method
2.4. Accuracy of an interpolation
2.5. Isotropic adaptative interpolation
2.6. Anisotropic adaptative interpolation
2.7. Numerical illustration: anisotropic versus isotropic interpolation
2.8. CFD applications of anisotropic capture
2.9. Unsteady case
2.10. Conclusion
2.11. Notes
3 Mesh Representation
3.1. Introduction
3.2. An introductory example
3.3. Euclidean metric space
3.4. Riemannian metric space
3.5. Generation of adapted anisotropic meshes
3.6. Operations on metrics
3.7. Computation of geometric quantities
3.8. Notes
4 Geometric Error Estimate
4.1. The 1D case
4.2. Discrete-continuous duality for linear interpolation error
4.3. Numerical validation of the continuous interpolation error
4.4. Optimal control of the interpolation error in L
p
norm
4.5. Multidimensional discontinuity capturing
4.6. Linear interpolate operator
4.7. A local L
∞
upper bound of the interpolation error
4.8. Metric construction for mesh adaptation
4.9. Mesh adaptation for analytical functions
4.10. Conclusion
4.11. Notes
5 Multiscale Adaptation for Steady Simulations
5.1. Introduction
5.2. Definitions and notations (2D)
5.3. Solving the problematic of the unknown solution (2D/3D)
5.4. Numerical computation/recovery of the Hessian matrix
5.5. Solution interpolation
5.6. Mesh adaptation algorithm
5.7. Example of a CFD numerical simulation
5.8. Conclusion
5.9. Notes
6 Multiscale Convergence and Certification in CFD
6.1. Introduction
6.2. A mesh convergence algorithm
6.3. An academic test case
6.4. 3D multiscale anisotropic mesh adaptation
6.5. Conclusion
6.6. Notes
References
Index
Summary of Volume 2
Wiley End User License Agreement
Guide
Cover
Table of Contents
Title Page
Copyright
Acknowledgments
Introduction
1 CFD Numerical Models
References
Index
Summary of Volume 2
Wiley End User License Agreement
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Mesh Adaptation for Computational Fluid Dynamics 1
Continuous Riemannian Metrics and Feature-based Adaptation
Alain Dervieux
Frédéric Alauzet
Adrien Loseille
Bruno Koobus
First published 2022 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:
ISTE Ltd
27-37 St George’s Road
London SW19 4EU
UK
www.iste.co.uk
John Wiley & Sons, Inc.
111 River Street
Hoboken, NJ 07030
USA
www.wiley.co
© ISTE Ltd 2022
The rights of Alain Dervieux, Frédéric Alauzet, Adrien Loseille and Bruno Koobus to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s), contributor(s) or editor(s) and do not necessarily reflect the views of ISTE Group.
Library of Congress Control Number: 2022934897
British Library Cataloguing-in-Publication Data
A CIP record for this book is available from the British Library
ISBN 978-1-78630-831-3
Acknowledgments
This book presents many theoretical and numerical accomplishments performed in collaboration with the following researchers:
Rémi Abgrall, Olivier Allain, Francoise Angrand, Paul Arminjon, Nicolas Barral, Anca Belme, Fayssal Benkhaldoun, Francois Beux, Gautier Brèthes, Véronique Billey, Alexandre Carabias, Romuald Carpentier, Giles Carré, Yves Coudière, Francois Courty, Didier Chargy, Paul-Henri Cournède, Christophe Debiez, Jean-Antoine Desideri, Gérard Fernandez, Loula Fezoui, Jérôme Francescatto, Loic Frazza, Pascal Frey, Paul-Louis George, Aurélien Goudjo, Nicolas Gourvitch, Damien Guégan, Hervé Guillard, Emmanuelle Itam, Marie-Hélène Lallemand, Stéphane Lanteri, Bernard Larrouturou, Anne-Cécile Lesage, David Leservoisier, Francoise Loriot, Mark Loriot, Laurent Loth, Nathalie Marco, Katherine Mer, Victorien Menier, Bijan Mohammadi, Eric Morano, Boniface Nkonga, Géraldine Olivier, Bernadette Palmerio, Gilbert Rogé, Bastien Sauvage, Éric Schall, Hervé Stève, Bruno Stoufflet, Francois Thomasset, Julien Vanharen, Ganesan Vijayasundaram, Cécile Viozat and Stephen Wornom; we also want to apologize to the people we forgot to mention.
Also we want to acknowledge our friends of INRIA and Lemma, and in particular Charles Leca, Olivier Allain, Nathalie and Philippe Boh, for their support. INRIA provided excellent conditions for research and writing of this book to the first three authors. Lemma permitted a rapid industrialization of our mesh adaptation methods.
The first author thanks his advisers, Jean Céa, Roland Glowinski and many thanks also to Charbel Farhat, Jacques Périaux and Roger Peyret.
This study is supported by fp6 and fp7 European progams (AEROSHAPE, HISAC, NODESIM, UMRIDA). The authors and their coworkers were granted access to the HPC resources of CINES/IDRIS under allocations made by GENCI (Grand Equipement National de Calcul Intensif).
