A well-balanced scheme using non-conservative products designedfor hyperbolic systems of conservation laws with source

@inproceedings{Gosse2001AWS,
  title={A well-balanced scheme using non-conservative products designedfor hyperbolic systems of conservation laws with source},
  author={T L Gosse},
  year={2001}
}
The aim of this paper is to present a new kind of numerical processing for hyperbolic systems of conservation laws with source terms. This is achieved by means of a non-conservative reformulation of the zero-order terms of the right-hand-side of the equations. In this context, we decided to use the results of DalMaso, LeFloch and Murat 9] about non-conservative products, and the generalized Roe matrixes introduced by Toumi 36] to derive a rst-order linearized well-balanced scheme in the sense… CONTINUE READING
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References

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A weak formulation of Roe's aproximate Riemann solver - J.C.P

  • I. Toumi
  • 1992
Highly Influential
9 Excerpts

A well balanced scheme for the numerical processing of source terms in hyperbolic equations

  • A. Y. Greenberg J. LeRoux
  • SIAM J. Numer. Anal. - Vol
  • 1996
Highly Influential
13 Excerpts

Warming R.F. - Boundary approximations for implicit schemes for onedimensional inviscid equations of gas dynamics

  • R. M. Yee H.C. Beam
  • AIAA Journal vol.20
  • 1982
Highly Influential
4 Excerpts

Un sch ema- equilibre adapt e aux lois de conservation scalaires non-homog enes - C.R

  • A. Y. Gosse L. LeRoux
  • Acad. Sc. Paris S erie I t
  • 1996
Highly Influential
4 Excerpts

- A study of numerical methods for hyperbolic conservation laws with sti source terms

  • C. LeVequeR.J.YeeH.
  • - J . C . P . No
  • 1998

- RungeKutta methods for hyperbolic conservation laws with sti relaxation termsJ

  • S. Jin
  • 1998

A well-balanced ux splitting scheme designed for hyperbolic systems of conservation laws with source terms

  • L. Gosse
  • 1998

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