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math.NA2022★ 16 cited
An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We present an accurate and efficient solver for atmospheric dynamics simulations that allows for non-conforming mesh refinement. The model equations are the conservative Euler equa…
math.NA2022★ 7 cited
A filtering monotonization approach for DG discretizations of hyperbolic problems
Giuseppe Orlando
We introduce a filtering technique for Discontinuous Galerkin approximations of hyperbolic problems. Following an approach already proposed for the Hamilton-Jacobi equations by oth…