ADER discontinuous Galerkin schemes for general-relativistic ideal magnetohydrodynamics
We present a new class of high-order accurate numerical algorithms for solving the
equations of general-relativistic ideal magnetohydrodynamics in curved space–times. In this …
equations of general-relativistic ideal magnetohydrodynamics in curved space–times. In this …
Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine
In this paper we discuss a new and very efficient implementation of high order accurate
arbitrary high order schemes using derivatives discontinuous Galerkin (ADER-DG) finite …
arbitrary high order schemes using derivatives discontinuous Galerkin (ADER-DG) finite …
[HTML][HTML] An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes
In this paper we propose a novel set of first-order hyperbolic equations that can model
dispersive non-hydrostatic free surface flows. The governing PDE system is obtained via a …
dispersive non-hydrostatic free surface flows. The governing PDE system is obtained via a …
An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density
In this work, we present a novel numerical discretization of a variable pressure multilayer
shallow water model. The model can be written as a hyperbolic PDE system and allows the …
shallow water model. The model can be written as a hyperbolic PDE system and allows the …
Enclave tasking for DG methods on dynamically adaptive meshes
DE Charrier, B Hazelwood, T Weinzierl - SIAM Journal on Scientific Computing, 2020 - SIAM
High-order discontinuous Galerkin (DG) methods promise to be an excellent discretization
paradigm for hyperbolic differential equation solvers running on supercomputers, since they …
paradigm for hyperbolic differential equation solvers running on supercomputers, since they …
The Ultraluminous X-ray sources population of the galaxy NGC 7456
F Pintore, M Marelli, R Salvaterra… - The Astrophysical …, 2020 - iopscience.iop.org
Ultraluminous X-ray sources (ULXs) are a class of accreting compact objects with X-ray
luminosities above 10 39 erg s− 1. The ULX population counts several hundred objects but …
luminosities above 10 39 erg s− 1. The ULX population counts several hundred objects but …
Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver
DE Charrier, B Hazelwood… - … Journal of High …, 2019 - journals.sagepub.com
We study the performance behaviour of a seismic simulation using the ExaHyPE engine with
a specific focus on memory characteristics and energy needs. ExaHyPE combines …
a specific focus on memory characteristics and energy needs. ExaHyPE combines …
Lightweight task offloading exploiting MPI wait times for parallel adaptive mesh refinement
P Samfass, T Weinzierl, DE Charrier… - Concurrency and …, 2020 - Wiley Online Library
Balancing the workload of sophisticated simulations is inherently difficult, since we have to
balance both computational workload and memory footprint over meshes that can change …
balance both computational workload and memory footprint over meshes that can change …
A high-order discontinuous Galerkin solver with dynamic adaptive mesh refinement to simulate cloud formation processes
L Krenz, L Rannabauer, M Bader - … 8–11, 2019, Revised Selected Papers …, 2020 - Springer
We present a high-order discontinuous Galerkin (dg) solver of the compressible Navier-
Stokes equations for cloud formation processes. The scheme exploits an underlying …
Stokes equations for cloud formation processes. The scheme exploits an underlying …
Exploring the dynamics of surge pricing in mobility-on-demand taxi services
Dynamic pricing implemented in the form of a surge price multiplier (SPM) by mobility-on-
demand services such as Uber, Lyft, etc. have significantly altered the demand-supply …
demand services such as Uber, Lyft, etc. have significantly altered the demand-supply …