SIAM Journal on Scientific and Statistical Computing
A three-point combined compact difference scheme
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
De-aliasing on non-uniform grids: algorithms and applications
Journal of Computational Physics
Analysis of central and upwind compact schemes
Journal of Computational Physics
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
A new family of high-order compact upwind difference schemes with good spectral resolution
Journal of Computational Physics
Journal of Computational Physics
A new combined stable and dispersion relation preserving compact scheme for non-periodic problems
Journal of Computational Physics
Optimal time advancing dispersion relation preserving schemes
Journal of Computational Physics
Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Error dynamics of diffusion equation: Effects of numerical diffusion and dispersive diffusion
Journal of Computational Physics
Hi-index | 31.47 |
In this paper, we further analyze a combined compact difference (CCD) scheme proposed recently [T.K. Sengupta, V. Lakshmanan, V.V.S.N. Vijay, A new combined stable and dispersion relation preserving compact scheme for non-periodic problems, J. Comput. Phys. 228 (8) (2009) 3048-3071] for its dissipation discretization properties to show that its superiority also helps in controlling aliasing error for a benchmark internal flow. However, application of the same CCD method to study the receptivity of a boundary layer experiencing adverse pressure gradient is not successful. This is traced to the nature of the equilibrium flow where the better dissipation property is not helpful in the inviscid part of the flow, where the aliasing problems continue to persist. A further modification is proposed to the CCD method here to solve complex physical problems requiring information on higher order disturbance quantities - as in problems of flow receptivity and instability.