Three-dimensional general relativistic radiation magnetohydrodynamical simulation of super-Eddington accretion, using a new code harmrad with M1 closure
JC McKinney, A Tchekhovskoy… - Monthly Notices of …, 2014 - academic.oup.com
Black hole (BH) accretion flows and jets are dynamic hot relativistic magnetized plasma
flows whose radiative opacity can significantly affect flow structure and behaviour. We …
flows whose radiative opacity can significantly affect flow structure and behaviour. We …
Implicit-explicit Runge--Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit
We consider implicit-explicit (IMEX) Runge--Kutta (RK) schemes for hyperbolic systems with
stiff relaxation in the so-called diffusion limit. In such a regime the system relaxes towards a …
stiff relaxation in the so-called diffusion limit. In such a regime the system relaxes towards a …
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs
Spatial discretizations of time-dependent partial differential equations usually result in a
large system of semi-linear and stiff ordinary differential equations. Taking the structures into …
large system of semi-linear and stiff ordinary differential equations. Taking the structures into …
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
W Boscheri, L Pareschi - Journal of Computational Physics, 2021 - Elsevier
This article aims at developing a high order pressure-based solver for the solution of the 3D
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …
High order semi-implicit schemes for time dependent partial differential equations
The main purpose of the paper is to show how to use implicit–explicit Runge–Kutta methods
in a much more general context than usually found in the literature, obtaining very effective …
in a much more general context than usually found in the literature, obtaining very effective …
High order semi-implicit schemes for viscous compressible flows in 3D
W Boscheri, M Tavelli - Applied Mathematics and Computation, 2022 - Elsevier
In this article we present a high order cell-centered numerical scheme in space and time for
the solution of the compressible Navier-Stokes equations. To deal with multiscale …
the solution of the compressible Navier-Stokes equations. To deal with multiscale …
Global existence for partially dissipative hyperbolic systems in the L p framework, and relaxation limit
T Crin-Barat, R Danchin - Mathematische Annalen, 2023 - Springer
Here we investigate global strong solutions for a class of partially dissipative hyperbolic
systems in the framework of critical homogeneous Besov spaces. Our primary goal is to …
systems in the framework of critical homogeneous Besov spaces. Our primary goal is to …
Diagonally implicit Runge-Kutta methods for ordinary differential equations. A review
CA Kennedy, MH Carpenter - 2016 - ntrs.nasa.gov
A review of diagonally implicit Runge-Kutta (DIRK) methods applied to rst-order ordinary di
erential equations (ODEs) is undertaken. The goal of this review is to summarize the …
erential equations (ODEs) is undertaken. The goal of this review is to summarize the …
Asymptotic preserving implicit-explicit Runge--Kutta methods for nonlinear kinetic equations
G Dimarco, L Pareschi - SIAM Journal on Numerical Analysis, 2013 - SIAM
We discuss implicit-explicit (IMEX) Runge--Kutta methods which are particularly adapted to
stiff kinetic equations of Boltzmann type. We consider both the case of easy invertible …
stiff kinetic equations of Boltzmann type. We consider both the case of easy invertible …
Higher-order additive Runge–Kutta schemes for ordinary differential equations
CA Kennedy, MH Carpenter - Applied numerical mathematics, 2019 - Elsevier
Two new implicit–explicit, additive Runge–Kutta (ARK 2) methods are given with fourth-and
fifth-order formal accuracies, respectively. Both combine explicit Runge–Kutta (ERK) …
fifth-order formal accuracies, respectively. Both combine explicit Runge–Kutta (ERK) …