Add to ORKGWeak local residual (WLR) detects the smoothness of numerical solutionsto conservation laws. In this paper we consider balance laws with a sourceterm, the shallow water equations (SWE). WLR is used as the refinement indicatorin an adaptive finite volume method for solving SWE. This is the first studyin implementing WLR into an adaptive finite volume method used to solve theSWE, where the adaptivity is with respect to its mesh or computational grids. Welimit our presentation to one-dimensional domain. Numerical simulations show theeffectiveness of WLR as the refinement indicator in the adaptive method.DOI : http://dx.doi.org/10.22342/jims.20.1.176.11-1
Abstract We provide an adaptive strategy for solving shallow water equations with dynamic grid adapt...
In the present work we discuss a special class of conservation laws, the one-dimensional Shallow Wat...
This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water eq...
Weak local residual (WLR) detects the smoothness of numerical solutionsto conservation laws. In this...
The system of shallow water equations admits infinitely many conservation laws. This paper investiga...
The one-dimensional shallow water equations describe mass conservation and momentum conservation. We...
Water flows can be modelled mathematically and one available model is the shallow water equations. T...
In the presented work the shallow water equations are derived in detail and their properties are pre...
The shallow water equations (SWE) are a system of nonlinear hyperbolic partial differential equation...
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and...
We investigate the potential of the so-called "relocation" mesh adaptation in terms of resolution an...
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and...
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and...
International audienceWe describe an explicit residual based discretization of the Shallow Water equ...
An algorithm for the study of the shallow water equations has been presented in many papers and appl...
Abstract We provide an adaptive strategy for solving shallow water equations with dynamic grid adapt...
In the present work we discuss a special class of conservation laws, the one-dimensional Shallow Wat...
This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water eq...
Weak local residual (WLR) detects the smoothness of numerical solutionsto conservation laws. In this...
The system of shallow water equations admits infinitely many conservation laws. This paper investiga...
The one-dimensional shallow water equations describe mass conservation and momentum conservation. We...
Water flows can be modelled mathematically and one available model is the shallow water equations. T...
In the presented work the shallow water equations are derived in detail and their properties are pre...
The shallow water equations (SWE) are a system of nonlinear hyperbolic partial differential equation...
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and...
We investigate the potential of the so-called "relocation" mesh adaptation in terms of resolution an...
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and...
The shallow-water equations are widely used to model surface water bodies, such as lakes, rivers and...
International audienceWe describe an explicit residual based discretization of the Shallow Water equ...
An algorithm for the study of the shallow water equations has been presented in many papers and appl...
Abstract We provide an adaptive strategy for solving shallow water equations with dynamic grid adapt...
In the present work we discuss a special class of conservation laws, the one-dimensional Shallow Wat...
This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water eq...