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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.NA2023
An analytical solution for supersonic flow over a circular cylinder using an optimized shock shape
S R Siva Prasad Kochi, M Ramakrishna
An analytical solution for high supersonic flow over a circular cylinder based on Schneider's inverse method has been presented. In the inverse method, a shock shape is assumed and…
math.NA2023
Study of Mach reflection in inviscid flows
S R Siva Prasad Kochi, M Ramakrishna
In this paper, we study the Mach reflection phenomenon in inviscid flows using a higher order discontinuous Galerkin method and overset grids. We use the shock capturing procedure…