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20192021
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math.NA2021

A discontinuous Galerkin overset scheme using WENO reconstruction and subcells for two-dimensional problems

S R Siva Prasad Kochi, M Ramakrishna

A new scheme for communication between overset grids using subcells and Weighted Essentially Non Oscillatory (WENO) reconstruction for two-dimensional problems has been proposed. T…

math.NA2021

A compact subcell WENO limiting strategy using immediate neighbors for Runge-Kutta discontinuous Galerkin methods for unstructured meshes

S R Siva Prasad Kochi, M Ramakrishna

In this paper, we generalize the compact subcell weighted essentially non oscillatory (CSWENO) limiting strategy for Runge-Kutta discontinuous Galerkin method developed recently by…

math.NA2020

Fast and Accurate Proper Orthogonal Decomposition using Efficient Sampling and Iterative Techniques for Singular Value Decomposition

Charumathi V, M. Ramakrishna, Vinita Vasudevan

In this paper, we propose a computationally efficient iterative algorithm for proper orthogonal decomposition (POD) using random sampling based techniques. In this algorithm, addit…

math.NA2020

Addressing the issue of mass conservation error and the connected problem of Carbuncle formation

Vinnakota Mythreya, K. S. R. Siva Prasad., M. Ramakrishna

We study mass conservation errors (momentum density spike) and the related phenomenon of post shock oscillations in numerical solutions of compressible Euler equations. These pheno…

math.NA2020

Shock capturing with discontinuous Galerkin Method using Overset grids for two-dimensional Euler equations

S R Siva Prasad Kochi, M Ramakrishna

A new procedure to capture the shocks has been proposed and is demonstrated for the solutions of two-dimensional Euler equations using discontinuous Galerkin method and overset gri…