We consider a multi-dimensional triangular system of conservation laws. This system arises as a model of three-phase flow in porous media and includes multi-dimensional conservation laws with discontinuous coefficients as a special case. The system is neither strictly hyperbolic nor symmetric. We propose an Engquist-Osher type scheme for this system and show that the approximate solutions generated by the scheme converge to a weak solution. Numerical examples are also presented.
Convergence of an Engquist Osher scheme for a multidimensional triangular system of conservation laws / Coclite, Giuseppe Maria; Mishra, S; Risebro, N. H.. - In: MATHEMATICS OF COMPUTATION. - ISSN 0025-5718. - 79:269(2010), pp. 71-94. [10.1090/S0025-5718-09-02251-0]
Convergence of an Engquist Osher scheme for a multidimensional triangular system of conservation laws
COCLITE, Giuseppe Maria;
2010-01-01
Abstract
We consider a multi-dimensional triangular system of conservation laws. This system arises as a model of three-phase flow in porous media and includes multi-dimensional conservation laws with discontinuous coefficients as a special case. The system is neither strictly hyperbolic nor symmetric. We propose an Engquist-Osher type scheme for this system and show that the approximate solutions generated by the scheme converge to a weak solution. Numerical examples are also presented.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
