High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water …
This paper is concerned with the development of high order methods for the numerical
approximation of one-dimensional nonconservative hyperbolic systems. In particular, we are …
approximation of one-dimensional nonconservative hyperbolic systems. In particular, we are …
Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models
We extend recently proposed flux globalization based well-balanced path-conservative
central-upwind schemes to several shallow water models including the Saint-Vevant system …
central-upwind schemes to several shallow water models including the Saint-Vevant system …
[HTML][HTML] Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-
volume numerical methods for 1D systems of balance laws. The strategy introduced by two …
volume numerical methods for 1D systems of balance laws. The strategy introduced by two …
Well-balanced path-conservative central-upwind schemes based on flux globalization
In this paper, we introduce a new approach for constructing robust well-balanced (WB) finite-
volume methods for nonconservative one-dimensional hyperbolic systems of nonlinear …
volume methods for nonconservative one-dimensional hyperbolic systems of nonlinear …
Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation
In the context of preserving stationary states, eg lake at rest and moving equilibria, a new
formulation of the shallow water system, called flux globalization has been introduced by …
formulation of the shallow water system, called flux globalization has been introduced by …
Simulation du ruissellement d'eau de pluie sur des surfaces agricoles
O Delestre - 2010 - theses.hal.science
L'objectif de ce travail est le développement d'un modèle et d'une méthode numérique
adaptés à la simulation duruissellement d'eau de pluie sur des surfaces agricoles. Pour …
adaptés à la simulation duruissellement d'eau de pluie sur des surfaces agricoles. Pour …
Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction
We present a novel formulation of the discontinuous Galerkin spectral element method for
solving balance laws, with application to the shallow water equations. The scheme …
solving balance laws, with application to the shallow water equations. The scheme …
Well-balancing via flux globalization: Applications to shallow water equations with wet/dry fronts
We study the flux globalization based central-upwind scheme from Cheng et al.(J Sci
Comput 80: 538–554, 2019) for the Saint-Venant system of shallow water equations. We first …
Comput 80: 538–554, 2019) for the Saint-Venant system of shallow water equations. We first …
Well-balanced high-order finite difference methods for systems of balance laws
C Parés, C Parés-Pulido - Journal of Computational Physics, 2021 - Elsevier
In this paper, high order well-balanced finite difference weighted essentially non-oscillatory
methods to solve general systems of balance laws are presented. Two different families are …
methods to solve general systems of balance laws are presented. Two different families are …
[HTML][HTML] A new fifth-order finite difference well-balanced multi-resolution WENO scheme for solving shallow water equations
In this paper, a new fifth-order finite difference well-balanced multi-resolution weighted
essentially non-oscillatory (WENO) scheme is designed to solve for one-dimensional and …
essentially non-oscillatory (WENO) scheme is designed to solve for one-dimensional and …