[BOOK][B] Hyperbolic Systems of Conservation Laws: The theory of classical and nonclassical shock waves
PG LeFloch - 2002 - books.google.com
This set of lecture notes was written for a Nachdiplom-Vorlesungen course given at the
Forschungsinstitut fUr Mathematik (FIM), ETH Zurich, during the Fall Semester 2000. I would …
Forschungsinstitut fUr Mathematik (FIM), ETH Zurich, during the Fall Semester 2000. I would …
GPU computing for shallow water flow simulation based on finite volume schemes
MJ Castro, S Ortega, M De la Asuncion… - Comptes Rendus …, 2011 - Elsevier
This article is a review of the work that we are carrying out to efficiently simulate shallow
water flows. In this paper, we focus on the efficient implementation of path-conservative Roe …
water flows. In this paper, we focus on the efficient implementation of path-conservative Roe …
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
We present a finite volume scheme for solving shallow water equations with source term due
to the bottom topography. The scheme has the following properties: it is high-order accurate …
to the bottom topography. The scheme has the following properties: it is high-order accurate …
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
We are interested in nonlinear hyperbolic systems in nonconservative form arising in fluid
dynamics, and, for solutions containing shock waves, we investigate the convergence of …
dynamics, and, for solutions containing shock waves, we investigate the convergence of …
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows
We develop a new family of well-balanced path-conservative quadrature-free one-step
ADER finite volume and discontinuous Galerkin finite element schemes on unstructured …
ADER finite volume and discontinuous Galerkin finite element schemes on unstructured …
Numerical modeling of two-phase flows using the two-fluid two-pressure approach
The present paper is devoted to the computation of two-phase flows using the two-fluid
approach. The overall model is hyperbolic and has no conservative form. No instantaneous …
approach. The overall model is hyperbolic and has no conservative form. No instantaneous …
An existence and uniqueness result for two nonstrictly hyperbolic systems
P Le Floch - Nonlinear evolution equations that change type, 1990 - Springer
We prove a result of existence and uniqueness of entropy weak solutions for two nonstrictly
hyperbolic systems, both a nonconservative system of two equations\partial_t u+\partial_x f …
hyperbolic systems, both a nonconservative system of two equations\partial_t u+\partial_x f …
Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique
The goal of this paper is to generalize the hydrostatic reconstruction technique introduced in
Ref. 2 for the shallow water system to more general hyperbolic systems with source term …
Ref. 2 for the shallow water system to more general hyperbolic systems with source term …
Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations
We present space-and space–time discontinuous Galerkin finite element (DGFEM)
formulations for systems containing nonconservative products, such as occur in dispersed …
formulations for systems containing nonconservative products, such as occur in dispersed …
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime
We investigate the Riemann problem for the shallow water equations with variable and
(possibly) discontinuous topography and provide a complete description of the properties of …
(possibly) discontinuous topography and provide a complete description of the properties of …