Accuracy and speed in computing the Chebyshev collocation derivative
SIAM Journal on Scientific Computing
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
A model for the simulation of turbulent boundary layers in an incompressible stratified flow
Journal of Computational Physics
SIAM Journal on Scientific Computing
A penalty method for the vorticity-velocity formulation
Journal of Computational Physics
On the computation of high order pseudospectral derivatives
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
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
A three-dimensional spectral element model for the solution of the hydrostatic primitive equations
Journal of Computational Physics
Spectral element filtering techniques for large eddy simulation with dynamic estimation
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A pseudospectral method of solution of Fisher's equation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.47 |
A spectral multidomain penalty method model has been developed for the simulation of high Reynolds number localized stratified turbulence. This is the first time that a penalty method, with a particular focus on subdomain interface treatment, has been used with a multidomain scheme to simulate incompressible flows. The temporal discretization ensures maximum temporal accuracy by combining third order stiffly stable and backward differentiation schemes with a high-order boundary condition for the pressure. In the non-periodic vertical direction, a spectral multidomain discretization is used and its stability for under-resolved simulations at high Reynolds numbers is ensured through use of penalty techniques, spectral filtering and strong adaptive interfacial averaging. The penalty method is implemented in different formulations for both the explicit non-linear term advancement and the implicit treatment of the viscous terms. The multidomain model is validated by comparing results of simulations of the mid-to-late time stratified turbulent wake with non-zero net momentum to the corresponding laboratory data for a towed sphere. The model replicates correctly the characteristic vorticity and internal wave structure of the stratified wake and exhibits robust agreement with experiments in terms of the temporal power laws in the evolution of mean profile characteristic velocity and lengthscales.