A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws
From MaRDI portal
Publication:2063161
DOI10.1007/s10915-021-01712-8OpenAlexW4200595467WikidataQ115603756 ScholiaQ115603756MaRDI QIDQ2063161
Jean François, Wanderson Lambert, Eduardo Abreu, John Perez
Publication date: 10 January 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01712-8
hyperbolic conservation lawssemi-discrete schemeLagrangian-Eulerian methodpositivity principleKruzhkov entropy solutiontotal variation nonincreasing (TVNI)weak asymptotic analysis
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items
A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws ⋮ Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for <scp>1D</scp> hyperbolic problems ⋮ A relaxation approach to modeling properties of hyperbolic-parabolic type models ⋮ A geometrically intrinsic Lagrangian-Eulerian scheme for 2D shallow water equations with variable topography and discontinuous data ⋮ A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models
Cites Work
- Unnamed Item
- Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
- Approximation of entropy solutions to degenerate nonlinear parabolic equations
- Non-oscillatory central schemes for one- and two-dimensional MHD equations. I
- On a universal structure for immiscible three-phase flow in virgin reservoirs
- Weak asymptotic methods for scalar equations and systems
- Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations
- New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws
- High resolution schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Weighted essentially non-oscillatory schemes on triangular meshes
- Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
- Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II
- Measure-valued solutions to conservation laws
- Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation
- Numerical modeling of degenerate equations in porous media flow. Degenerate multiphase flow equations in porous media
- A locally conservative Eulerian--Lagrangian numerical method and its application to nonlinear transport in porous media
- A global divergence conforming DG method for hyperbolic conservation laws with divergence constraint
- A posteriori error estimates for numerical solutions to hyperbolic conservation laws
- A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications
- A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms
- Kolmogorov-type theory of compressible turbulence and inviscid limit of the Navier-Stokes equations in \(\mathbb{R}^3\)
- A new finite volume approach for transport models and related applications with balancing source terms
- Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects
- Numerical methods for conservation laws with rough flux
- Multi-dimensional Burgers equation with unbounded initial data: well-posedness and dispersive estimates
- Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics
- Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations
- High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
- Monotone Difference Approximations for Scalar Conservation Laws
- Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Finite Volume Methods for Hyperbolic Problems
- A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics
- Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy
- Nonlocal dissipation measure and L1 kinetic theory for fractional conservation laws
- On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows
- On Decay of Entropy Solutions to Multidimensional Conservation Laws
- A Survey of High Order Schemes for the Shallow Water Equations
- Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes
- Hyperbolic Conservation Laws in Continuum Physics
