High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space (Q5865927)

scientific article; zbMATH DE number 7539546

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English	High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space	scientific article; zbMATH DE number 7539546

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instance of

scholarly article

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title

High-Order Godunov-Type Scheme for Conservation Laws with Discontinuous Flux Function in Space (English)

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International Journal of Computational Methods

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publication date

10 June 2022

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zbMATH Keywords

conservation laws

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discontinuous flux

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DFLU interface flux

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flux splitting

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WENO reconstruction

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MaRDI profile type

MaRDI publication profile

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cites work

Monotone (<i>A,B</i>) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux

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Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space

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The DFLU flux for systems of conservation laws

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OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS

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Second order scheme for scalar conservation laws with discontinuous flux

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The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

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A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux

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Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies

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Convergence Rates of Monotone Schemes for Conservation Laws with Discontinuous Flux

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Well-posedness for a class of \(2\times 2\) conservation laws with \(\mathbb{L}^\infty\) data

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Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions.

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A SHALLOW WATER MODEL BY FINITE POINT METHOD

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A family of numerical schemes for kinematic flows with discontinuous flux

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Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units

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Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units

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An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections

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Discontinuous approximation of viscous two-phase flow in heterogeneous porous media

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On Scalar Conservation Laws with Point Source and Discontinuous Flux Function

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A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation

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Q4693893

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Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function

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Total variation diminishing Runge-Kutta schemes

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A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

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Efficient implementation of weighted ENO schemes

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A steady-state capturing method for hyperbolic systems with geometrical source terms

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Well-balanced schemes for the Euler equations with gravitation

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Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux

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Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior

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FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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A finite volume method for a two-phase multicomponent polymer flooding

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Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm

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Convergence of Upwind Finite Difference Schemes for a Scalar Conservation Law with Indefinite Discontinuities in the Flux Function

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A General BV Existence Result for Conservation Laws with Spatial Heterogeneities

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A HIGH ORDER KINETIC FLUX-SPLITTING METHOD FOR THE SPECIAL RELATIVISTIC HYDRODYNAMICS

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A Runge-Kutta discontinuous Galerkin scheme for hyperbolic conservation laws with discontinuous fluxes

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Q4247279

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High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

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Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux

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A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case

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An existence result for conservation laws having BV spatial flux heterogeneities -- without concavity

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Semidiscrete central-upwind scheme for conservation laws with a discontinuous flux function in space

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The Roe-type interface flux for conservation laws with discontinuous flux function

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Numerical Simulating Open-Channel Flows with Regular and Irregular Cross-Section Shapes Based on Finite Volume Godunov-Type Scheme

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High order finite difference WENO schemes with the exact conservation property for the shallow water equations

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ON A HIGH-RESOLUTION GODUNOV METHOD FOR A CFD-PBM COUPLED MODEL OF TWO-PHASE FLOW IN LIQUID-LIQUID EXTRACTION COLUMNS

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A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill--Whitham--Richards traffic flow model.

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A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway

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full work available at URL

https://doi.org/10.1142/s0219876221500663

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Identifiers

DOI

10.1142/S0219876221500663

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5865927