On the rotation and skew-symmetric forms for incompressible flow simulations
Applied Numerical Mathematics - Special issue: Transition to turbulence
A coupled implicit method for chemical non-equilibrium flows at all speeds
Journal of Computational Physics
A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
Journal of Computational Physics
The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
Applied Numerical Mathematics
On the effect of numerical errors in large eddy simulations of turbulent flows
Journal of Computational Physics
A unified method for computing incompressible and compressible flows in boundary-fitted coordinates
Journal of Computational Physics
Fully conservative higher order finite difference schemes for incompressible flow
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
A semi-implicit method for resolution of acoustic waves in low Mach number flows
Journal of Computational Physics
A robust high-order compact method for large eddy simulation
Journal of Computational Physics
A numerical method for large-eddy simulation in complex geometries
Journal of Computational Physics
Time-accurate calculation of variable density flows with strong temperature gradients and combustion
Journal of Computational Physics
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows
Journal of Computational Physics
An adaptive implicit-explicit scheme for the DNS and LES of compressible flows on unstructured grids
Journal of Computational Physics
Parallel implicit DNS of temporally-evolving turbulent shear layer instability
Journal of Computational and Applied Mathematics
Hi-index | 31.46 |
A non-dissipative, robust, implicit algorithm is proposed for direct numerical and large-eddy simulation of compressible turbulent flows. The algorithm addresses the problems caused by low Mach numbers and under-resolved high Reynolds numbers. It colocates variables in space to allow easy extension to unstructured grids, and discretely conserves mass, momentum and total energy. The Navier-Stokes equations are non-dimensionalized using an incompressible scaling for pressure, and the energy equation is used to obtain an expression for the velocity divergence. A pressure-correction approach is used to solve the resulting equations, such that the discrete divergence is constrained by the energy equation. As a result, the discrete equations analytically reduce to the incompressible equations at very low Mach number, i.e., the algorithm overcomes the acoustic time-scale limit without preconditioning or solution of an implicit system of equations. The algorithm discretely conserves kinetic energy in the incompressible inviscid limit, and is robust for inviscid compressible turbulence on the convective time-scale. These properties make it well-suited for DNS/LES of compressible turbulent flows. Results are shown for acoustic propagation, the incompressible Taylor problem, periodic shock tube problem, and isotropic turbulence.