Dispersion-relation-preserving finite difference schemes for computational acoustics
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
Fully conservative higher order finite difference schemes for incompressible flow
Journal of Computational Physics
High order finite difference schemes on non-uniform meshes with good conversation properties
Journal of Computational Physics
Journal of Computational Physics
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
Symmetry-preserving discretization of turbulent flow
Journal of Computational Physics
A robust high-order compact method for large eddy simulation
Journal of Computational Physics
Finite-volume compact schemes on staggered grids
Journal of Computational Physics
A finite volume formulation of compact central schemes on arbitrary structured grids
Journal of Computational Physics
Journal of Computational Physics
Higher entropy conservation and numerical stability of compressible turbulence simulations
Journal of Computational Physics
Journal of Computational Physics
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
Journal of Computational Physics
Compact finite volume schemes on boundary-fitted grids
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
Journal of Computational Physics
An energy preserving formulation for the simulation of multiphase turbulent flows
Journal of Computational Physics
Hi-index | 31.47 |
A new high-order finite-volume method is presented that preserves the skew symmetry of convection for the compressible flow equations. The method is intended for Large-Eddy Simulations (LES) of compressible turbulent flows, in particular in the context of hybrid RANS-LES computations. The method is fourth-order accurate and has low numerical dissipation and dispersion. Due to the finite-volume approach, mass, momentum, and total energy are locally conserved. Furthermore, the skew-symmetry preservation implies that kinetic energy, sound-velocity, and internal energy are all locally conserved by convection as well. The method is unique in that all these properties hold on non-uniform, curvilinear, structured grids. Due to the conservation of kinetic energy, there is no spurious production or dissipation of kinetic energy stemming from the discretization of convection. This enhances the numerical stability and reduces the possible interference of numerical errors with the subgrid-scale model. By minimizing the numerical dispersion, the numerical errors are reduced by an order of magnitude compared to a standard fourth-order finite-volume method.