Robust and accurate simulations of flows over orography using non‐conforming meshes

G Orlando, T Benacchio… - Quarterly Journal of the …, 2024 - Wiley Online Library
We systematically validate the static local mesh refinement capabilities of a recently
proposed implicit–explicit discontinuous Galerkin scheme implemented in the framework of …

[HTML][HTML] On the evolution equations of interfacial variables in two-phase flows

G Orlando, PF Barbante, L Bonaventura - International Journal of …, 2023 - Elsevier
Many physical situations are characterized by interfaces with a non trivial shape so that
relevant geometric features, such as interfacial area, curvature or unit normal vector, can be …

An implicit DG solver for incompressible two‐phase flows with an artificial compressibility formulation

G Orlando - International Journal for Numerical Methods in …, 2024 - Wiley Online Library
We propose an implicit discontinuous Galerkin (DG) discretization for incompressible two‐
phase flows using an artificial compressibility formulation. The conservative level set (CLS) …

Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme

G Orlando, T Benacchio, L Bonaventura - arXiv preprint arXiv:2404.09319, 2024 - arxiv.org
We present a quantitative assessment of the impact of high-order mappings on the
simulation of flows over complex orography. Curved boundaries were not used in earlier …

An asymptotic-preserving scheme for Euler equations I: non-ideal gases

G Orlando, L Bonaventura - arXiv preprint arXiv:2402.09252, 2024 - arxiv.org
{We analyze a general Implicit-Explicit (IMEX) time discretization for the compressible Euler
equations of gas dynamics, showing that they are asymptotic-preserving (AP) in the low …

[PDF][PDF] Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases

G Orlando, L Bonaventura - arXiv preprint arXiv:2402.09252, 2024 - researchgate.net
We analyze schemes based on a general Implicit-Explicit (IMEX) time discretization for the
compressible Euler equations of gas dynamics, showing that they are asymptotic-preserving …

[PDF][PDF] A filtering monotonization technique for DG discretizations of hyperbolic problems

G Orlando - researchgate.net
A filtering monotonization technique for DG discretizations of hyperbolic problems Page 1 A
filtering monotonization technique for DG discretizations of hyperbolic problems Author …