Publication

New finite element based fluctuation splitting kinetic schemes

Pénélope Leyland
1998
Journal Articles

Abstract

"Starting from the gas kinetic model, a new class of schemes for hyperbolic systems of conservation laws is presented. The flow solvers are based on the Boltzmann equations. The numerical discretization is based on the upwind cell vertex fluctuation-splitting model. The method is truly multidimensional in the sense that the splitting is independent of a particular normal direction; the geometry of the mesh does not influence the upwinding. Numerical results for inviscid flow test cases are presented to indicate the robustness and accuracy of the schemes. (C) 1998 John Wiley & Sons, Ltd."

Official source

https://infoscience.epfl.ch/entities/publication/1372b540-560f-4a6c-a1f3-762bab7818ac

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Pénélope Leyland
1998
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1372b540-560f-4a6c-a1f3-762bab7818ac

About this result

Related concepts (32)

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Numerical stability

In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving ordinary and partial differential equations by discrete approximation. In numerical linear algebra, the principal concern is instabilities caused by proximity to singularities of various kinds, such as very small or nearly colliding eigenvalues.

Kinetic theory of gases

The kinetic theory of gases is a simple, historically significant classical model of the thermodynamic behavior of gases, with which many principal concepts of thermodynamics were established. The model describes a gas as a large number of identical submicroscopic particles (atoms or molecules), all of which are in constant, rapid, random motion. Their size is assumed to be much smaller than the average distance between the particles. The particles undergo random elastic collisions between themselves and with the enclosing walls of the container.

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