Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: first-order approximation

DOI10.1016/j.jcp.2022.111355OpenAlexW4282828657WikidataQ114163283 ScholiaQ114163283MaRDI QIDQ2157090

Johnathon Upperman, Nail K. Yamaleev

Publication date: 21 July 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111355

zbMATH Keywords

Navier-Stokes equationsartificial dissipationentropy stabilitypositivity-preserving methodssummation-by-parts (SBP) operatorsBrenner regularization

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx)

Related Items (3)

Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: high-order flux limiting ⋮ High-order positivity-preserving entropy stable schemes for the 3-D compressible Navier-Stokes equations ⋮ First-order positivity-preserving entropy stable scheme for the 3-D compressible Navier-Stokes equations

Cites Work

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• High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
• Review of summation-by-parts schemes for initial-boundary-value problems
• \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
• A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier-Stokes equations
• Weak solutions and convergent numerical schemes of modified compressible Navier-Stokes equations
• Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
• Third-order energy stable WENO scheme
• Beyond Navier-Stokes
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
• Numerical study of two models for viscous compressible fluid flows
• Positivity-preserving entropy stable schemes for the 1-D compressible Navier-Stokes equations: high-order flux limiting
• Entropy stable artificial dissipation based on Brenner regularization of the Navier-Stokes equations
• Construction of modern robust nodal discontinuous Galerkin spectral element methods for the compressible Navier-Stokes equations
• Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
• A Convergent Numerical Scheme for the Compressible Navier--Stokes Equations
• Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
• Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
• Total-Variation-Diminishing Time Discretizations
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations
• Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
• Viscous Regularization of the Euler Equations and Entropy Principles

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