6 papers
An IMEX-DG solver with non-conforming mesh refinement for atmospheric dynamics with rotation
Letizia Bottani, Tommaso Benacchio, Giuseppe Orlando +2
We present a high-order implicit-explicit discontinuous Galerkin (IMEX-DG) solver for the compressible Euler equations to account for rotational effects within a fully compressible…
A quantum advection-diffusion solver using the quantum singular value transform
Gard Olav Helle, Tommaso Benacchio, Anna Bomme Ousager +1
We present a quantum algorithm for the simulation of the linear advection-diffusion equation based on block encodings of high order finite-difference operators and the quantum sing…
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…
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…
Improving the scalability of a high-order atmospheric dynamics solver based on the deal.II library
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We present recent advances on the massively parallel performance of a numerical scheme for atmosphere dynamics applications based on the deal.II library. The implicit-explicit disc…