An Introduction to Recent Developments in Theory and Numerics for Conservation Laws

Dietmar Kröner, Mario Ohlberger, Christian Rohde

ISBN 10: 3540650814 / ISBN 13: 9783540650812

Editore: Springer, 1998

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: Este libro aborda los aspectos teóricos y numéricos de los sistemas de leyes de conservación, que pueden considerarse como un modelo matemático para los flujos de fluidos compresibles no viscosos. Cinco especialistas destacados en esta área ofrecen una visión general de los resultados recientes, que incluyen: métodos cinéticos, ondas de choque no clásicas, métodos de viscosidad y relajación, estimaciones de error a posteriori, esquemas numéricos de orden superior en mallas no estructuradas en 3D, preacondicionamiento y simetrización de las ecuaciones de Euler y Navier-Stokes. Este libro será muy útil para científicos que trabajen en matemáticas, mecánica de fluidos computacional, aerodinámica y astrofísica, así como para estudiantes de posgrado que deseen aprender sobre los nuevos desarrollos en esta área. EAN: 9783540650812 Tipo: Libros Categoría: Tecnología|Ciencias Título: An Introduction to Recent Developments in Theory and Numerics for Conservation Laws Autor: Dietmar Kröner| Mario Ohlberger| Christian Rohde Editorial: Springer Idioma: en Páginas: 300 Formato: tapa blanda. Codice articolo Happ-2025-02-11-bc88129a

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Titolo: An Introduction to Recent Developments in ...

Casa editrice: Springer

Data di pubblicazione: 1998

Legatura: Brossura

Condizione: Muy bueno

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Riassunto:

The importance of hyperbolic conservation laws for scientific and industrial applications has led to a growing amount of research activity in this field. A variety of physical phenomena in fluid mechanics, astrophysics, groundwa­ ter flow, meteorology, reactive flow and several other areas can be effectively modeled by systems of conservation laws. In order to focus recent trends in theory and numerics in this research area and to stimulate further research in this field, we decided to organize the "International School on Theory and Numerics for Conservation Laws", which took place in FreiburgjLittenweiler, Germany, from 20 to 24 October 1997. The school was sponsored by the DFG-Graduiertenkolleg "Nichtlineare Dif­ ferentialgleichungen, Modellierung, Theorie, Numerik, Visualisierung" at the University of Freiburg. It was attended by about 60 young international re­ searchers. This volume contains the contributions of the five main lecturers of the school. Each article covers five hours of lectures on a specific new research area in the field of theory and numerics for conservation laws. Reviews of recent de­ velopments are given, accompanied by new research results of the authors. The topics include a kinetic approach to conservation laws by Benoit Perthame, which can be used for the construction of approximate Riemann solvers for the full system of gas dynamics. Several ideas related to the stability and entropy analysis are discussed.

Contenuti:

An Introduction to Kinetic Schemes for Gas Dynamics.- An Introduction to Nonclassical Shocks of Systems of Conservation Laws.- Viscosity and Relaxation Approximation for Hyperbolic Systems of Conservation Laws.- A Posteriori Error Analysis and Adaptivity for Finite Element Approximations of Hyperbolic Problems.- Numerical Methods for Gasdynamic Systems on Unstructured Meshes.