Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
A Stable Penalty Method for the Compressible Navier--Stokes Equations: I. Open Boundary Conditions
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model
Journal of Computational Physics
MPDATA: a finite-difference solver for geophysical flows
Journal of Computational Physics
A spectral vanishing viscosity method for large-eddy simulations
Journal of Computational Physics
Spectral methods for hyperbolic problems
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
Journal of Computational Physics
Velocity-Correction Projection Methods for Incompressible Flows
SIAM Journal on Numerical Analysis
Spectral element filtering techniques for large eddy simulation with dynamic estimation
Journal of Computational Physics
A multidomain spectral method for supersonic reactive flows
Journal of Computational Physics
Short Note: Hyperviscosity for shock-turbulence interactions
Journal of Computational Physics
An adaptive local deconvolution method for implicit LES
Journal of Computational Physics
Journal of Computational Physics
A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations
Journal of Computational Physics
Hi-index | 31.45 |
The numerical dissipation operating in a specific spectral multidomain method model developed for the simulation of incompressible high Reynolds number turbulence in doubly periodic domains is investigated. The method employs Fourier discretization in the horizontal directions and the discretization in the vertical direction is based on a Legendre collocation scheme local to each subdomain. Both spatial discretizations are characterized by either no or near-negligible artificial dissipation. In high Reynolds number simulations, which are inherently under-resolved, stability of the numerical scheme is ensured through spectral filtering in all three directions and the implementation of a penalty scheme in the vertical direction. The dissipative effects of these stabilizers are quantified in terms of the numerical viscosity, using a generalization of the method previously employed to analyze numerical codes for the simulation of homogeneous, isotropic turbulence in triply periodic domains. Data from simulations of the turbulent wake of a towed sphere are examined at two different Reynolds numbers varying by a factor of twenty. The effects of the stabilizers are found to be significant, i.e. comparable, and sometimes larger, than the effects of the physical (molecular) viscosity. Away from subdomain interfaces, the stabilizers have an expected dissipative character extending over a range of scales determined by timestep and the degree of under-resolution, i.e. Reynolds number. At the interfaces, the stabilizers tend to exhibit a strong anti-dissipative character. Such behavior is attributed to the inherently discontinuous formulation of the penalty scheme, which suppresses catastrophic Gibbs oscillations by enforcing C"0 and C"1 continuity only weakly at the interfaces.