ALOP-Colloquium with Dr. Ritesh Kumar Dubey of SRM University Chennai

On Monday, April 26, 2021 at 16:00 c.t.  Dr. Ritesh Kumar Dubey of SRM University Chennai will present his recent work at our colloquium. 

Title of the Talk: On numerical diffusion for entropy stable shock capturing schemes for hyperbolic conservation laws

One of the fundamental problems associated with the solution of hyperbolic conservation laws is the presence of inevitable discontinuities in it. This poses various challenges for the numerical approximation of such admissible solutions which eventually demand to construct numerical schemes which can yield physically correct non-oscillatory and crisp resolution of these discontinuities in the solution. To address this, we use entropy stability framework and construct high order non-oscillatory entropy stable fluxes by devising suitable numerical diffusion using three different approaches (i) Non-linear stability (ii) Deep neural network and (iii) Optimization . This talk will give a comparative overview of these approaches along with theoretical and numerical results for benchmark test PDE cases.

This presentation will take place via ZOOM. A link will be e-mailed prior to the event.