书目名称 | Numerical Approximation of Hyperbolic Systems of Conservation Laws |
编辑 | Edwige Godlewski,Pierre-Arnaud Raviart |
视频video | |
概述 | Revised version which completes the first 1996 publication.Presents the state of the art concerning finite volume methods.More examples and details added.An expanding field.Excellent up-to-date review |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation. |
出版日期 | Book 2021Latest edition |
关键词 | Compressible fluid models; Conservation laws; Finite volume methods; Godunov type methods; Mathematical |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-0716-1344-3 |
isbn_ebook | 978-1-0716-1344-3Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer Science+Business Media, LLC, part of Springer Nature 2021 |