20 citations · 58 across the 16 of their papers we have counts for
16 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…
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…
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…
A mixed finite-element, finite-volume, semi-implicit discretisation for atmospheric dynamics: Spherical geometry
Thomas Melvin, Ben Shipway, Nigel Wood +11
The reformulation of the Met Office's dynamical core for weather and climate prediction previously described by the authors is extended to spherical domains using a cubed-sphere me…
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…
An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement
Giuseppe Orlando, Tommaso Benacchio, Luca Bonaventura
We present an accurate and efficient solver for atmospheric dynamics simulations that allows for non-conforming mesh refinement. The model equations are the conservative Euler equa…
Efficient hyperbolic-parabolic models on multi-dimensional unbounded domains using an extended DG approach
Federico Vismara, Tommaso Benacchio
We introduce an extended discontinuous Galerkin discretization of hyperbolic-parabolic problems on multidimensional semi-infinite domains. Building on previous work on the one-dime…
Next-generation HPC models for future rotorcraft applications
Nicoletta Sanguini, Tommaso Benacchio, Daniele Malacrida +4
Rotorcraft technologies pose great scientific and industrial challenges for numerical computing. As available computational resources approach the exascale, finer scales and theref…
FT-GCR: a fault-tolerant generalized conjugate residual elliptic solver
Mike Gillard, Tommaso Benacchio
With the steady advance of high performance computing systems featuring smaller and smaller hardware components, the systems and algorithms used for numerical simulations increasin…
A one-step blended soundproof-compressible model with balanced data assimilation: theory and idealised tests
Ray Chew, Tommaso Benacchio, Gottfried Hastermann +1
A challenge arising from the local Bayesian assimilation of data in an atmospheric flow simulation is the imbalances it may introduce. Acoustic fast-mode imbalances of the order of…
A seamless, extended DG approach for advection-diffusion problems on unbounded domains
Federico Vismara, Tommaso Benacchio, Luca Bonaventura
We propose and analyze a seamless extended Discontinuous Galerkin (DG) discretization of advection-diffusion equations on semi-infinite domains. The semi-infinite half line is spli…
Resiliency in Numerical Algorithm Design for Extreme Scale Simulations
Emmanuel Agullo, Mirco Altenbernd, Hartwig Anzt +33
This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by a…
A semi-implicit compressible model for atmospheric flows with seamless access to soundproof and hydrostatic dynamics
Tommaso Benacchio, Rupert Klein
We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, mo…
A seamless extension of DG methods for hyperbolic problems to unbounded domains
T. Benacchio, L. Bonaventura
We consider spectral discretizations of hyperbolic problems on unbounded domains using Laguerre basis functions. Taking as model problem the scalar advection equation, we perform a…