An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
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Publication:2125032
DOI10.1016/j.jcp.2020.109723OpenAlexW3044652118MaRDI QIDQ2125032
Christian Klingenberg, Andrea Thomann, Gabriella Puppo
Publication date: 11 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.09577
well-balancedpositivity preservingasymptotic preservingIMEX schemeEuler equations with gravitysuliciu relaxation
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Cites Work
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- Well-balanced schemes for the Euler equations with gravitation
- An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations
- Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
- On Godunov-type methods near low densities
- All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics
- An all-speed relaxation scheme for gases and compressible materials
- Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation
- On modelling phase transitions by means of rate-type constitutive equations. Shock wave structure
- Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- Second-order implicit-explicit total variation diminishing schemes for the Euler system in the low Mach regime
- An all Mach number relaxation upwind scheme
- High-order well-balanced finite volume schemes for the Euler equations with gravitation
- The active flux scheme on Cartesian grids and its low Mach number limit
- Stability of the MUSCL schemes for the Euler equations
- Scale-Dependent Models for Atmospheric Flows
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- Compressible and incompressible fluids
- Relaxation of Energy and Approximate Riemann Solvers for General Pressure Laws in Fluid Dynamics
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms
- Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity
- On the Low Mach Number Limit for the Compressible Euler System
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
- An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations
- A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
- A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity
- The mathematical theory of low Mach number flows
- Asymptotic adaptive methods for multi-scale problems in fluid mechanics