The solution of the Navier-Stokes equations using Gauss-Seidel line relaxation
Computers and Fluids - In honour of Gino Moretti on the occasion of his 70th birthday
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
Applied Numerical Mathematics
Designing an efficient solution strategy for fluid flows
Journal of Computational Physics
Designing an efficient solution stragety for fluid flows
Journal of Computational Physics
Low-dissipative high-order shock-capturing methods using characteristic-based filters
Journal of Computational Physics
Large-eddy simulation of the shock/turbulence interaction
Journal of Computational Physics
Journal of Computational Physics
A semi-implicit method for resolution of acoustic waves in low Mach number flows
Journal of Computational Physics
Multiresolution Wavelet Based Adaptive Numerical Dissipation Control for High Order Methods
Journal of Scientific Computing
A numerical method for large-eddy simulation in complex geometries
Journal of Computational Physics
Higher entropy conservation and numerical stability of compressible turbulence simulations
Journal of Computational Physics
Journal of Computational Physics
Diffusion regulation for Euler solvers
Journal of Computational Physics
An efficient and robust implicit operator for upwind point Gauss-Seidel method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An adaptive implicit-explicit scheme for the DNS and LES of compressible flows on unstructured grids
Journal of Computational Physics
Generalized conservative approximations of split convective derivative operators
Journal of Computational Physics
Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates
Journal of Computational Physics
On the spectral and conservation properties of nonlinear discretization operators
Journal of Computational Physics
An algorithm using the finite volume element method and its splitting extrapolation
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Computational Physics
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains
Journal of Computational Physics
On a robust ALE method with discrete primary and secondary conservation
Journal of Computational Physics
Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids
Journal of Computational Physics
Hi-index | 31.51 |
A robust, implicit, low-dissipation method suitable for LES/DNS of compressible turbulent flows is discussed. The scheme is designed such that the discrete flux of kinetic energy and its rate of change are consistent with those predicted by the momentum and continuity equations. The resulting spatial fluxes are similar to those derived using the so-called skew-symmetric formulation of the convective terms. Enforcing consistency for the time derivative results in a novel density weighted Crank-Nicolson type scheme. The method is stable without the addition of any explicit dissipation terms at very high Reynolds numbers for flows without shocks. Shock capturing is achieved by switching on a dissipative flux term which tends to zero in smooth regions of the flow. Numerical examples include a one-dimensional shock tube problem, the Taylor-Green problem, simulations of isotropic turbulence, hypersonic flow over a double-cone geometry, and compressible turbulent channel flow.