Convergence of spectral methods for nonlinear conservation laws
SIAM Journal on Numerical Analysis
Journal of Scientific Computing
Legendre pseudospectral viscosity method for nonlinear conservation laws
SIAM Journal on Numerical Analysis
The basic equations for the large eddy simulation of turbulent flows in complex geometry
Journal of Computational Physics
An analysis of numerical errors in large-eddy simulations of turbulence
Journal of Computational Physics
On the effect of numerical errors in large eddy simulations of turbulent flows
Journal of Computational Physics
Journal of Computational Physics
On the use of shock-capturing schemes for large-eddy simulation
Journal of Computational Physics
Flow past a cylinder using a semi-Lagrangian spectral element method
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
A spectral vanishing viscosity method for large-eddy simulations
Journal of Computational Physics
Stabilized spectral element computations of high Reynolds number incompressible flows
Journal of Computational Physics
Spectral Vanishing Viscosity Method for Large-Eddy Simulation of Turbulent Flows
Journal of Scientific Computing
Stabilization Methods for Spectral Element Computations of Incompressible Flows
Journal of Scientific Computing
A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities
Journal of Computational Physics
Journal of Scientific Computing
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“Defiltering-Transport-Filtering” (DTF) algorithms are proposed for the large eddy simulation of incompressible flows by using high order methods. These new algorithms are based (i) on an approximate deconvolution method for the modeling of the sub-grid scale stress tensor and (ii) on a semi-Lagrangian method to handle the convective term. Such algorithms are implemented in 3D spectral solvers (one homogeneous direction), using differential operators to handle in an approximate way the filtering and defiltering operations. Stability and dissipation properties of the schema are discussed. Preliminary results, obtained with a Chebyshev collocation solver, for the 3D wake of a cylinder with Reynolds number equal to 1000 are presented.