Numerical Approximation of Hyperbolic Systems of Conservation Laws

Edwige Godlewski, Pierre-Arnaud Raviart (Autoren)

Buch | Hardcover

840 Seiten

2021 | 2nd ed. 2021
Springer-Verlag New York Inc.
978-1-0716-1342-9 (ISBN)

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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.

Nonlinear hyperbolic systems in one space dimension.- Gas dynamics and reacting flows.- Finite volume schemes for one-dimensional systems.- The case of multidimensional systems.- An introduction to boundary conditions.- Source terms.

Erscheinungsdatum	26.03.2021
Reihe/Serie	Applied Mathematical Sciences ; 118
Zusatzinfo	78 Illustrations, black and white; XIII, 840 p. 78 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-0716-1342-1 / 1071613421
ISBN-13	978-1-0716-1342-9 / 9781071613429
Zustand	Neuware