Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Zanotti, Olindo"'
We propose a high order discontinuous Galerkin (DG) scheme with subcell finite volume (FV) limiter to solve a monolithic first--order hyperbolic BSSNOK formulation of the coupled Einstein--Euler equations. The numerical scheme runs with adaptive mesh
Externí odkaz:
http://arxiv.org/abs/2406.15798
We present a new, monolithic first--order (both in time and space) BSSNOK formulation of the coupled Einstein--Euler equations. The entire system of hyperbolic PDEs is solved in a completely unified manner via one single numerical scheme applied to b
Externí odkaz:
http://arxiv.org/abs/2406.12055
In this work we aim at developing a new class of high order accurate well-balanced finite difference (FD) Weighted Essentially Non-Oscillatory (WENO) methods for numerical general relativity, which can be applied to any first-order reduction of the E
Externí odkaz:
http://arxiv.org/abs/2406.05450
In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein--Euler equations of general relativity based on a first order hyperbolic
Externí odkaz:
http://arxiv.org/abs/2307.06629
Publikováno v:
In Journal of Computational Physics 1 May 2024 504
Publikováno v:
Monthly Notices of the Royal Astronomical Society, Volume 477, Issue 4, 2018, Pages 4543-4564
We present a new class of high-order accurate numerical algorithms for solving the equations of general-relativistic ideal magnetohydrodynamics in curved spacetimes. In this paper we assume the background spacetime to be given and static, i.e., we ma
Externí odkaz:
http://arxiv.org/abs/1801.02839
Publikováno v:
Phys. Rev. D 97, 084053 (2018)
We present a strongly hyperbolic first-order formulation of the Einstein equations based on the conformal and covariant Z4 system (CCZ4) with constraint-violation damping, which we refer to as FO-CCZ4. As CCZ4, this formulation combines the advantage
Externí odkaz:
http://arxiv.org/abs/1707.09910
In this paper, we propose a new unified first order hyperbolic model of Newtonian continuum mechanics coupled with electro-dynamics. The model is able to describe the behavior of moving elasto-plastic dielectric solids as well as viscous and inviscid
Externí odkaz:
http://arxiv.org/abs/1612.02093
This paper presents an arbitrary h.o. accurate ADER DG method on space-time adaptive meshes (AMR) for the solution of two important families of non-linear time dependent PDE for compr. dissipative flows: the compr. Navier-Stokes equations and the equ
Externí odkaz:
http://arxiv.org/abs/1612.01410
This paper is concerned with the numerical solution of the unified first order hyperbolic formulation of continuum mechanics recently proposed by Peshkov & Romenski, denoted as HPR model. In that framework, the viscous stresses are computed from the
Externí odkaz:
http://arxiv.org/abs/1511.08995