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math.NA2022★ 8 cited
A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion and high-order discontinuous Galerkin schemes
Victor J. Llorente, Jiaqing Kou, Eusebio Valero +1
The Immersed Boundary Method (IBM) is a popular numerical approach to impose boundary conditions without relying on body-fitted grids, thus reducing the costly effort of mesh gener…
physics.flu-dyn2022★ 2 cited
Jump penalty stabilisation techniques for under-resolved turbulence in discontinuous Galerkin schemes
Jiaqing Kou, Oscar A. Marino, Esteban Ferrer
Jump penalty stabilisation techniques have been recently proposed for continuous and discontinuous high order Galerkin schemes [1,2,3]. The stabilisation relies on the gradient or…