Numerical Flux Functions for Ideal Gases
There are many flux functions available today to obtain the inviscid flux through the cell interface. The idea of treating the cell interface was first proposed by Godunov, who regarded the variable jump there as a Riemann problem. Later, many Godunov-typ
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Advancement of Shock Capturing Computational Fluid Dynamics Methods Numerical Flux Functions in Finite Volume Method
Advancement of Shock Capturing Computational Fluid Dynamics Methods
Keiichi Kitamura
Advancement of Shock Capturing Computational Fluid Dynamics Methods Numerical Flux Functions in Finite Volume Method
Keiichi Kitamura Faculty of Engineering Yokohama National University Yokohama, Kanagawa, Japan
ISBN 978-981-15-9010-8 ISBN 978-981-15-9011-5 https://doi.org/10.1007/978-981-15-9011-5
(eBook)
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
This book is dedicated to Chihiro, Misora, and Tsubasa.
Preface
There are well-known computational fluid dynamics (CFD) books such as Numerical Computation of Internal and External Flows. Vol. 1: The Fundamentals of Computational Fluid Dynamics, 2nd ed., Butterworth-Heinemann, Burlington, VA, 2007, by Hirsch, C., and Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, 3rd ed., Springer-Verlag Berlin Heidelberg, 2009, by Toro, E. F. They were written primarily for CFD beginners in a very readerfriendly manner, and have been read all over the world for decades. However, because CFD technology is updated every year, these books naturally lack very recent information. This is the primary motivation for writing this book. In other words, this book is intended to bridge the gap between well-known CFD books and state-of-the-art CFD technologies, including the ones proposed by the author himself. Particular attention will be paid to numerical fl
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