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Applied Mathematics and Computation, ISSN 0096-3003, 01/2016, Volume 272, pp. 369 - 384
We consider the one-dimensional system of shallow-water equations with horizontal temperature gradients (the Ripa system). We derive a HLLC scheme for Ripa... 
Ripa system | HLLC | Path-conservative schemes | Finite volume schemes | ORDER | MATHEMATICS, APPLIED | HORIZONTAL TEMPERATURE-GRADIENTS | HYPERBOLIC SYSTEMS | SHALLOW-WATER EQUATIONS | FINITE-VOLUME SCHEMES
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 09/2018, Volume 333, pp. 95 - 117
The present article deals with the numerical integration of a six-equation single-velocity two-phase flow model with stiff mechanical relaxation. This model... 
Nonconservative systems | Shock waves | Finite volume method | Path-conservative schemes | Two-phase flow | Relaxation schemes | MATHEMATICS, APPLIED | APPROXIMATION | FORMULATION | SHOCK-WAVES | TO-DETONATION TRANSITION | COMPRESSIBLE FLUIDS | ROE-TYPE | INTERFACES | ERROR
Journal Article
Journal Article
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, ISSN 0764-583X, 07/2019, Volume 53, Issue 4, pp. 1391 - 1432
A multilayer shallow water approach for the approximate description of polydisperse sedimentation in a viscous fluid is presented. The fluid is assumed to... 
NONCONSERVATIVE HYPERBOLIC SYSTEMS | DERIVATION | MATHEMATICS, APPLIED | polydisperse sedimentation | viscous flow | path-conservative method | FINITE-VOLUME SOLVERS | recirculation | CURRENTS | SECULAR EQUATION | Multilayer shallow water model | SCHEMES
Journal Article
Advances in Water Resources, ISSN 0309-1708, 03/2018, Volume 113, pp. 189 - 201
Within the framework of the de Saint Venant equations coupled with the Exner equation for morphodynamic evolution, this work presents a new efficient... 
PRICE-C - FORCE | Path-conservative scheme | SWE - Exner | DOT Riemann solver | Non-conservative system | SEDIMENT TRANSPORT | HYPERBOLIC SYSTEMS | NONCONSERVATIVE PRODUCTS | WATER RESOURCES | HIGH-ORDER | SHALLOW-WATER EQUATIONS | CENTERED SCHEMES | NUMERICAL SCHEMES | FLOWS | DISCONTINUOUS TOPOGRAPHY | FINITE-VOLUME SCHEMES
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 04/2017, Volume 335, pp. 592 - 604
We are interested in the numerical approximation of the discontinuous solutions of non-conservative hyperbolic systems. We more precisely consider a... 
Gas dynamics equations | Non-conservative hyperbolic systems | Roe-type path-conservative schemes | Discontinuous solutions | NUMERICAL-METHODS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HYPERBOLIC SYSTEMS | INDEPENDENT PRESSURE LAWS | EQUATIONS | ERROR | PHYSICS, MATHEMATICAL | SHOCK-WAVES | Conservatism | Usage
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 8, pp. 2759 - 2763
We are interested in the solution of non-conservative hyperbolic systems, and consider in particular the so-called path-conservative schemes (see e.g. ) which... 
Shock waves | Path conservative schemes | Non conservative hyperbolic systems | Discontinuous solutions | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | SCHEMES | Mathematical models | Euler equations | Computation | Hyperbolic systems | Standards | Numerical Analysis | Mathematics
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2012, Volume 34, Issue 4, pp. A2173 - A2196
In this work, we present a class of fast first order finite volume solvers, called PVM (polynomial viscosity matrix), for balance laws or, more generally, for... 
Finite volume method | HLL | Path-conservative | PVM methods | GFORCE | FORCE | MATHEMATICS, APPLIED | path-conservative | NONCONSERVATIVE PRODUCTS | finite volume method | SOURCE TERMS | SHALLOW-WATER SYSTEMS | GODUNOV-TYPE METHODS | ERROR | FLOWS | HYPERBOLIC CONSERVATION-LAWS | SCHEMES | Viscosity | Computation | Laws | Mathematical analysis | Eigenvalues | Solvers | Spectra | Hyperbolic systems
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 10, pp. 3573 - 3604
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2017, Volume 342, pp. 85 - 116
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2016, Volume 314, pp. 824 - 862
Journal Article
Advances in Water Resources, ISSN 0309-1708, 07/2016, Volume 93, Issue Part A, pp. 39 - 61
Journal Article