[HTML][HTML] ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems
Abstract ExaHyPE (“An Exascale Hyperbolic PDE Engine”) is a software engine for solving
systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are …
systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are …
High order ADER schemes for continuum mechanics
In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
In this paper we propose an extension of the generalized Lagrangian multiplier method
(GLM) of Munz et al.[52],[30], which was originally conceived for the numerical solution of the …
(GLM) of Munz et al.[52],[30], which was originally conceived for the numerical solution of the …
A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
Earthquake fault zones are more complex, both geometrically and rheologically, than an
idealized infinitely thin plane embedded in linear elastic material. To incorporate nonlinear …
idealized infinitely thin plane embedded in linear elastic material. To incorporate nonlinear …
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
In this work, we introduce two novel reformulations of the weakly hyperbolic model for two-
phase flow with surface tension, recently forwarded by Schmidmayer et al. In the model, the …
phase flow with surface tension, recently forwarded by Schmidmayer et al. In the model, the …
A massively parallel hybrid finite volume/finite element scheme for computational fluid dynamics
In this paper, we propose a novel family of semi-implicit hybrid finite volume/finite element
schemes for computational fluid dynamics (CFD), in particular for the approximate solution of …
schemes for computational fluid dynamics (CFD), in particular for the approximate solution of …
Efficient GPU offloading with OpenMP for a hyperbolic finite volume solver on dynamically adaptive meshes
We identify and show how to overcome an OpenMP bottleneck in the administration of GPU
memory. It arises for a wave equation solver on dynamically adaptive block-structured …
memory. It arises for a wave equation solver on dynamically adaptive block-structured …
Lax-Wendroff flux reconstruction method for hyperbolic conservation laws
A Babbar, SK Kenettinkara, P Chandrashekar - Journal of Computational …, 2022 - Elsevier
Abstract The Lax-Wendroff method is a single step method for evolving time dependent
solutions governed by partial differential equations, in contrast to Runge-Kutta methods that …
solutions governed by partial differential equations, in contrast to Runge-Kutta methods that …
DeC and ADER: similarities, differences and a unified framework
In this paper, we demonstrate that the explicit ADER approach as it is used inter alia in
Zanotti et al.(Comput Fluids 118: 204–224, 2015) can be seen as a special interpretation of …
Zanotti et al.(Comput Fluids 118: 204–224, 2015) can be seen as a special interpretation of …
On improving the efficiency of ADER methods
The (modern) arbitrary derivative (ADER) approach is a popular technique for the numerical
solution of differential problems based on iteratively solving an implicit discretization of their …
solution of differential problems based on iteratively solving an implicit discretization of their …