Construction of explicit and implicit dynamic finite difference schemes and application to the large eddy simulation of the Taylor-Green vortex

DOI10.1016/j.jcp.2009.07.028zbMath1172.76019OpenAlexW1972676753MaRDI QIDQ732951

Erik Dick, Dieter Fauconnier, Chris De Langhe

Publication date: 15 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.07.028

zbMATH Keywords

Richardson extrapolationTaylor series expansionsdispersion errorsdispersion-relation preserving schemes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Direct numerical and large eddy simulation of turbulence (76F65)

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Cites Work

• Unnamed Item
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• On the effect of numerical errors in large eddy simulations of turbulent flows
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• Analysis of numerical errors in large eddy simulation using statistical closure theory
• High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems
• The dynamic procedure for accuracy improvement of numerical discretizations in fluid mechanics
• A study of differentiation errors in large-eddy simulations based on the EDQNM theory
• A family of dynamic finite difference schemes for large eddy simulation
• Compact finite difference schemes with spectral-like resolution
• Optimized prefactored compact schemes.
• On unconditional conservation of kinetic energy by finite difference discretizations of the linear and nonlinear convection equation.
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• A further study of numerical errors in large-eddy simulations.
• Symmetry-preserving discretization of turbulent flow.
• An analysis of numerical errors in large-eddy simulations of turbulence
• High order finite difference schemes on non-uniform meshes with good conservation properties
• A computational error-assessment of central finite-volume discretizations in large-eddy simulation using a Smagorinsky model
• An adaptive local deconvolution method for implicit LES
• Database analysis of errors in large-eddy simulation
• Optimality of the dynamic procedure for large-eddy simulations
• The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence
• An approximate deconvolution model for large-eddy simulation with application to incompressible wall-bounded flows
• Large eddy simulation of turbulent channel flows by the variational multiscale method
• Small-scale structure of the Taylor–Green vortex
• A dynamic subgrid-scale eddy viscosity model
• Optimized compact finite difference schemes with maximum resolution
• The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering
• Nonlinear Comparison of High-order and Optimized Finite-difference Schemes
• The sampling‐based dynamic procedure as tool for higher‐order discretization
• A priori tests on numerical errors in large eddy simulation using finite differences and explicit filtering