High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains (Q348073)

scientific article; zbMATH DE number 6659834

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English	High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains	scientific article; zbMATH DE number 6659834

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instance of

scholarly article

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title

High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains (English)

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Journal of Computational Physics

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publication date

5 December 2016

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full work available at URL

http://hdl.handle.net/2060/20130011028

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zbMATH Keywords

high-order finite difference methods

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conservation

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skew-symmetric

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entropy conservation

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entropy stability

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Navier-Stokes

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SBP-SAT

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WENO

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describes a project that uses

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Conservative hybrid compact-WENO schemes for shock-turbulence interaction

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Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks.

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Localized artificial diffusivity scheme for discontinuity capturing on curvilinear meshes

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High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

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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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Higher entropy conservation and numerical stability of compressible turbulence simulations

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Designing an efficient solution strategy for fluid flows. I: A stable high order finite difference scheme and sharp shock resolution for the Euler equations

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Low-dissipative high-order shock-capturing methods using characteristic-based filters

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Entropy splitting and numerical dissipation

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Systems of conservation laws

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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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The construction of discretely conservative finite volume schemes that also globally conserve energy or entropy

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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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Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder

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

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

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Third-order energy stable WENO scheme

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Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients

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Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes

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Q3213564

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Q4787292

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On the symmetric form of systems of conservation laws with entropy

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On the thermodynamics, stability and hierarchy of entropy functions in fluid flow

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High Order Difference Methods for Time Dependent PDE

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Summation by parts operators for finite difference approximations of second derivatives

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Stable and accurate schemes for the compressible Navier-Stokes equations

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Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes

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On the order of accuracy for difference approximations of initial-boundary value problems

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A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions

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A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

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Stable Robin solid wall boundary conditions for the Navier-Stokes equations

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Q4889859

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High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks

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A systematic methodology for constructing high-order energy stable WENO schemes

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

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Stable Boundary Conditions and Difference Schemes for Navier–Stokes Equations

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The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems

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Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves

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Efficient implementation of weighted ENO schemes

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A fully discrete, kinetic energy consistent finite volume scheme for compressible flows

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Identifiers

zbMATH Open document ID

1349.65293

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Mathematics Subject Classification ID

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10.1016/J.JCP.2013.06.014

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Sitelinks

Mathematics(1 entry)

mardi Publication:348073