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math.NA2024★ 3 cited
Efficient Spectral Element Method for the Euler Equations on Unbounded Domains
Yassine Tissaoui, James F. Kelly, Simone Marras
Mitigating the impact of waves leaving a numerical domain has been a persistent challenge in numerical modeling. Reducing wave reflection at the domain boundary is crucial for accu…
math.NA2016★ 4 cited
A continuous/discontinuous Galerkin solution of the shallow water equations with dynamic viscosity, high-order wetting and drying, and implicit time integration
Simone Marras, Michal A. Kopera, Emil M. Constantinescu +2
The high-order numerical solution of the non-linear shallow water equations (and of hyperbolic systems in general) is susceptible to unphysical Gibbs oscillations that form in the…