Construction of optimal time advancing dispersion relation preserving schemes


Yogesh Bhumkar

13:00:00 - 15:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

The seminar is focused on derivation of optimized upwind compact difference scheme to achieve excellent spatial resolution. Added numerical dissipation in the scheme has a cusp type of feature and is strictly restricted to very high wavenumber region to control numerical instabilities and to achieve effective de-aliasing ability. More importantly, derived numerical scheme has excellent dispersion relation preserving (DRP) property and as a consequence has a small contribution of spurious waves. Applicability of the proposed scheme to simulate real flow problems has been studied by solving and validating standard benchmark problems of flow inside a lid driven cavity and transitional flow past AG24 aerofoil.