Cover Image

A semi-discrete Active Flux method for the Euler equations on Cartesian grids

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Abgrall, Rémi, Barsukow, Wasilij, Klingenberg, Christian
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 65M08, 65M20, 65M70, 76M12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform
by: Barsukow, Wasilij, et al.
Published: (2024)

Stationarity preservation and the low Mach number behaviour of the Discontinuous Galerkin method on Cartesian grids
by: Barsukow, Wasilij
Published: (2025)

A generalized Active Flux method of arbitrarily high order in two dimensions
by: Barsukow, Wasilij, et al.
Published: (2025)

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
by: Barsukow, Wasilij, et al.
Published: (2025)

Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
by: Anandan, Megala, et al.
Published: (2025)

Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions
by: Abgrall, Rémi, et al.
Published: (2025)

Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
by: Berthon, Christophe, et al.
Published: (2024)

A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model
by: Ersing, Patrick, et al.
Published: (2026)

On Enhancing the Dissipative Behavior of Active Flux Advection Schemes
by: Klingenberg, Christian, et al.
Published: (2026)

A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
by: Cheng, Yu-Chen, et al.
Published: (2024)

Some new properties of an Active flux type scheme: PamPa
by: Abgrall, Rémi, et al.
Published: (2025)

An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes
by: Ersing, Patrick, et al.
Published: (2023)

Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
by: Michel-Dansac, Victor, et al.
Published: (2024)

Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations
by: Sayyari, Mohammed, et al.
Published: (2025)

On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026)

An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
by: Coquel, Frédéric, et al.
Published: (2020)

The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems
by: Duchêne, Vincent, et al.
Published: (2025)

Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)

High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)

Active flux for triangular meshes for compressible flows problems
by: Abgrall, Rémi, et al.
Published: (2023)

Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)

Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
by: Bercik, Alex, et al.
Published: (2025)

Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows
by: Kivva, Sergii
Published: (2023)

Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows
by: Artiano, Marco, et al.
Published: (2025)

Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes
by: Abgrall, Rémi, et al.
Published: (2025)

Drift-Free Conservative Dynamics from Quantized Interaction Rules
by: Junhu, Park, et al.
Published: (2026)

A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
by: Reyes, Jorge, et al.
Published: (2024)

A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)

Virtual finite element and hyperbolic problems: the PAMPA algorithm
by: Abgrall, Rémi, et al.
Published: (2024)

Entropy stable hydrostatic reconstruction schemes for shallow water systems
by: Ersing, Patrick, et al.
Published: (2024)

An arbitrary Lagrangian-Eulerian semi-implicit hybrid method for continuum mechanics with GLM cleaning
by: Busto, Saray
Published: (2025)

Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations
by: Singh, Chetan, et al.
Published: (2024)

High resolution methods for time dependent problems with piecewise smooth solutions
by: Tadmor, Eitan
Published: (2003)

Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows
by: Agnihotri, Jaya, et al.
Published: (2026)

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)

A MUSCL-Hancock scheme for non-local conservation laws
by: Manoj, Nikhil, et al.
Published: (2025)

Two-scale integrators with high accuracy and long-time conservations for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
by: Wang, Bin, et al.
Published: (2022)

An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
by: Arun, K. R., et al.
Published: (2024)

Implicit-explicit time discretization schemes for a class of semilinear wave equations with nonautonomous dampings
by: Jiao, Zhe, et al.
Published: (2024)

A node-conservative vorticity-preserving Finite Volume method for linear acoustics on unstructured grids
by: Barsukow, Wasilij, et al.
Published: (2024)