Several new numerical methods for compressible shear-layer simulations
Applied Numerical Mathematics
The basic equations for the large eddy simulation of turbulent flows in complex geometry
Journal of Computational Physics
A three-point combined compact difference scheme
Journal of Computational Physics
A general class of commutative filters for LES in complex geometries
Journal of Computational Physics
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
Journal of Computational Physics
Differential equation-based wall distance computation for DES and RANS
Journal of Computational Physics
Analysis of central and upwind compact schemes
Journal of Computational Physics
High Accuracy Schemes for DNS and Acoustics
Journal of Scientific Computing
Short Note: Error dynamics: Beyond von Neumann analysis
Journal of Computational Physics
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Spatial filters have been rigorously analyzed here for stabilization and dispersion relation preservation properties using spectral-matrix theory. Traditional LES faces problems of instability, aliasing and additional complexity of SGS modeling. Here, an alternative is proposed where unfiltered governing equation is solved, followed by spatial upwind filtering, without requiring any SGS models. This filter retains the resolution of high accuracy methods and removes energy, like the action of hyper-viscosity used in spectral methods. As examples, solutions for (a) accelerated flow past a NACA-0015 airfoil held normal to the flow and (b) transitional flow past a NLF airfoil, have been reported.