Time-reversibility of the Euler equations as a benchmark for energy conserving schemes

DOI10.1016/j.jcp.2008.06.020zbMath1259.76036OpenAlexW2088305381MaRDI QIDQ947913

M. Duponcheel, Paolo Orlandi, Grégoire Winckelmans

Publication date: 8 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.06.020

zbMATH Keywords

Taylor-Green vortexlow-order finite difference schemepseudo-spectral solver

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22)

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Uses Software

• Fluid flow phenomena

Cites Work

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• Low-storage Runge-Kutta schemes
• Fully conservative higher order finite difference schemes for incompressible flow
• High order finite difference schemes on non-uniform meshes with good conservation properties
• On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation
• Nonlinear amplification of vorticity in inviscid interaction of orthogonal Lamb dipoles
• Small-scale structure of the Taylor–Green vortex
• Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion
• On the identification of a vortex
• Canonical fractional-step methods and consistent boundary conditions for the incompressible Navier-Stokes equations

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