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math.NA2025
Application of troubled-cells to finite volume methods -- an optimality study using a novel monotonicity parameter
R Shivananda Rao, M Ramakrishna
We adapt a troubled-cell indicator from discontinuous Galerkin (DG) methods to finite volume methods (FVM) with MUSCL reconstruction and using a novel monotonicity parameter show t…
math.NA2025
A study of troubled-cell indicators applied to finite volume methods using a novel monotonicity parameter
R. Shivananda Rao, M. Ramakrishna
We adapt a troubled-cell indicator developed for discontinuous Galerkin (DG) methods to the finite volume method (FVM) framework for solving hyperbolic conservation laws. This indi…
math.NA2024
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)…