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math.NA2023
A review of troubled cell indicators for discontinuous Galerkin method
S R Siva Prasad Kochi, M Ramakrishna
In this paper, eight different troubled cell indicators (shock detectors) are reviewed for the solution of nonlinear hyperbolic conservation laws using discontinuous Galerkin (DG)…
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…