Central-Upwind Schemes for the Saint-Venant System

From MaRDI portal
Publication:4423063

DOI10.1051/m2an:2002019zbMath1137.65398OpenAlexW2133429431MaRDI QIDQ4423063

Alexander Kurganov, Doron Levy

Publication date: 25 August 2003

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_3_397_0




Related Items

Multilevel finite volume methods and boundary conditions for geophysical flowsHigh order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with frictionHyperbolicity-preserving and well-balanced stochastic Galerkin method for two-dimensional shallow water equationsBalanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equationsWell-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bedHigher order finite volume central schemes for multi-dimensional hyperbolic problemsHigh order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equationsHigh-order well-balanced schemes and applications to non-equilibrium flowHigh-order well-balanced central WENO scheme for pre-balanced shallow water equationsRecent advances on the discontinuous Galerkin method for shallow water equations with topography source termsSpace-time discontinuous Galerkin discretization of rotating shallow water equationsWell-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. Application to the dam break of AznalcóllarTracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid methodA shallow water with variable pressure model for blood flow simulationEntropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography\(r\)-adaptation for shallow water flows: conservation, well balancedness, efficiencyA well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral gridsWell-balanced finite difference WENO schemes for the ripa modelWell-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flowsApplication of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrologyThe MOOD method for the non-conservative shallow-water systemA numerical model for three-dimensional shallow water flows with sharp gradients over mobile topographyPropagation of diffusing pollutant by kinetic flux-vector splitting methodExactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibriumFlux globalization based well-balanced path-conservative central-upwind schemes for shallow water modelsA unified surface-gradient and hydrostatic reconstruction scheme for the shallow water equationsA well-balanced finite difference WENO scheme for shallow water flow modelWell-balanced finite volume evolution Galerkin methods for the shallow water equationsA well-balanced reconstruction of wet/dry fronts for the shallow water equationsA well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equationsAn adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equationsA structure-preserving algorithm for surface water flows with transport processesA kinetic scheme for the one-dimensional open channel flow equations with applications on networksDirect numerical simulation of compressible interfacial multiphase flows using a mass-momentum-energy consistent volume-of-fluid methodSteady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping TermPositivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshesThree-dimensional shallow water system: a relaxation approachFifth-order A-WENO schemes based on the path-conservative central-upwind methodCentral-upwind schemes for the system of shallow water equations with horizontal temperature gradientsA hybrid method to solve shallow water flows with horizontal density gradientsSediment transport models in shallow water equations and numerical approach by high order finite volume methodsTransport of pollutant in shallow flows: a space-time CE/SE schemeA non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying widthA new finite volume method for flux-gradient and source-term balancing in shallow water equationsA finite volume method for modeling shallow flows with wet-dry fronts on adaptive Cartesian gridsDevelopment of a cell-centered Godunov-type finite volume model for shallow water flow based on unstructured meshComputations of transport of pollutant in shallow waterA higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domainEnergy-stable staggered schemes for the shallow water equationsThe space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradientsHigh-order well-balanced finite volume WENO schemes for shallow water equation with moving waterWell-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshesA sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenonUpwinding of the source term at interfaces for Euler equations with high frictionMoving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant SystemCentral-upwind scheme for 2D turbulent shallow flows using high-resolution meshes with scalable wall functionsWell-balanced schemes for the shallow water equations with Coriolis forcesModified shallow water model for viscous fluids and positivity preserving numerical approximationA well-balanced positivity-preserving numerical scheme for shallow water models with variable densityEfficient shallow water simulations on GPUs: implementation, visualization, verification, and validationAugmented Riemann solvers for the shallow water equations over variable topography with steady states and inundationSimulation and visualization of the Saint-Venant system using GPUsCentral schemes on overlapping cellsHigh order finite difference WENO schemes with the exact conservation property for the shallow water equationsUpwinding sources at interfaces in conservation laws.Computations of steady and unsteady transport of pollutant in shallow waterHigh order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source termsWell-balanced finite volume schemes of arbitrary order of accuracy for shallow water flowsWell-balanced and energy stable schemes for the shallow water equations with discontinuous topographyAugmented Riemann solver for urethra flow modelingShallow water flows in channelsA well-balanced path-integral f-wave method for hyperbolic problems with source termsA positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equationsCWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equationsA well-balanced positivity preserving ``second-order scheme for shallow water flows on unstructured meshesHigh-order well-balanced finite difference WENO schemes for a class of hyperbolic systems with source termsFinite-volume-particle methods for models of transport of pollutant in shallow waterBeyond shallow water: appraisal of a numerical approach to hydraulic jumps based upon the boundary layer theoryHybrid finite element/volume method for shallow water equationsA modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equationsAsymptotic preserving scheme for the shallow water equations with source terms on unstructured meshesA second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis modelsHigh order well-balanced finite difference WENO schemes for shallow water flows along channels with irregular geometryAn effect non-staggered central scheme based on new hydrostatic reconstructionOne-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systemsWell-balanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshesHigh order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa modelAn improved Serre model: efficient simulation and comparative evaluationA well-balanced SPH-ALE scheme for shallow water applicationsWell-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant systemCentral unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equationsA new approach for designing moving-water equilibria preserving schemes for the shallow water equationsA well-balanced upstream flux-splitting finite-volume scheme for shallow-water flow simulations with irregular bed topographyA semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport modelsA well-balanced central-upwind scheme for the thermal rotating shallow water equationsEntropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equationsThe role of the Rankine-Hugoniot relations in staggered finite difference schemes for the shallow water equationsComputations of shallow water equations with high-order central-upwind schemes on triangular meshesWell-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water systemNumerical optimal control of a coupled ODE-PDE model of a truck with a fluid basinA central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channelsThe unsteady overtopping of barriers by gravity currents and dam-break flowsFullSWOF Paral: Comparison of two parallelization strategies (MPI and SKELGIS) on a software designed for hydrology applicationsA Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water EquationsA new two-dimensional Shallow Water model including pressure effects and slow varying bottom topographyCompressible two-phase flows by central and upwind schemesOn a hybrid finite-volume-particle methodA Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water EquationsA New Hydrostatic Reconstruction Scheme Based on Subcell ReconstructionsUnnamed ItemAn efficient HLL-based scheme for capturing contact-discontinuity in scalar transport by shallow water flowA modified high-resolution non-staggered central scheme with adjustable numerical dissipationArbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservationUnnamed ItemEntropy stable flux correction for hydrostatic reconstruction scheme for shallow water flowsMulti-fidelity physics constrained neural networks for dynamical systemsAdaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with Variable DensityPath-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equationsA New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom TopographySpatial structure of shock formationUnnamed ItemWave patterns for shallow water equationsNumerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water EquationsHigh-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water EquationsFinite-Volume-Particle Methods for the Two-Component Camassa-Holm SystemAn Adaptive Artificial Viscosity Method for the Saint-Venant SystemAn entropy-correction free solver for non-homogeneous shallow water equationsHigh order finite volume WENO schemes for the shallow water flows through channels with irregular geometryA central scheme for shallow water flows along channels with irregular geometryAn entropy-correction free solver for non-homogeneous shallow water equationsPath-conservative central-upwind schemes for nonconservative hyperbolic systemsFinite-volume schemes for shallow-water equationsFRONT TRACKING FOR SCALAR BALANCE EQUATIONSHyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water EquationsWell-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system



Cites Work