8 papers
High-order adaptive discontinuous finite elements for the shallow water equations with sub-grid irregular bathymetry
Luca Arpaia, Giuseppe Orlando, Christian Ferrarin +1
We present a discontinuous finite element method for the shallow water equations which exploits high-resolution realistic bathymetry data without any regularity assumption, also in…
Efficient and scalable atmospheric dynamics simulations using non-conforming meshes
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We present the massively parallel performance of a -adaptive solver for atmosphere dynamics that allows for non-conforming mesh refinement. The numerical method is based on a Di…
Asymptotic-preserving IMEX schemes for the Euler equations of non-ideal gases
Giuseppe Orlando, Luca Bonaventura
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…
Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
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 early numerical meth…
Robust and accurate simulations of flows over orography using non-conforming meshes
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We systematically validate the static local mesh refinement capabilities of a recently proposed IMEX-DG scheme implemented in the framework of the deal.II library. Non-conforming m…
A comparison of different approaches to compute surface tension contribution in incompressible two-phase flows
Giuseppe Orlando, Paolo Francesco Barbante, Luca Bonaventura
We perform a quantitative assessment of different strategies to compute the contribution due to surface tension in incompressible two-phase flows using a conservative level set (CL…