Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numbers (Q5020156)

scientific article; zbMATH DE number 7451990

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English	Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numbers	scientific article; zbMATH DE number 7451990

Statements

instance of

scholarly article

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title

Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numbers (English)

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author

Jonas P. Berberich

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Christian Klingenberg

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published in

SEMA SIMAI Springer Series

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publication date

4 January 2022

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full work available at URL

https://arxiv.org/abs/2004.01627

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zbMATH Keywords

two-state approximate Riemann solver

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finite volume scheme

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kinetic energy stable scheme

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diffusion matrix

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MaRDI profile type

MaRDI publication profile

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cites work

A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms

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A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics

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Q4247284

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An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes

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Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

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Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number

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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

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On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation

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On the behaviour of upwind schemes in the low Mach number limit

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On the symmetric form of systems of conservation laws with entropy

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A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics

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Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks

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Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes

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Contractivity of Runge-Kutta methods

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An all-speed Roe-type scheme and its asymptotic analysis of low Mach number behaviour

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Q2815624

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Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations

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A low-Mach number fix for Roe's approximate Riemann solver

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Approximate Riemann solvers, parameter vectors, and difference schemes

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The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

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Riemann Solvers and Numerical Methods for Fluid Dynamics

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On the Low Mach Number Limit for the Compressible Euler System

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Identifiers

zbMATH Open document ID

1481.76139

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DOI

10.1007/978-3-030-72850-2_8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5020156