A high order Godunov scheme with constrained transport and adaptive mesh refinement for astrophysical magnetohydrodynamics

By Sébastien Fromang, P. Hennebelle, Romain Teyssier. 2006

283 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/29c03382ca6d83d843c362ae7e6078c1eab5cf47

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

The impact of magnetic fields on single and binary star formation (2007, methodology): “Ziegler (2005) and Fromang et al. (2006) each performed similar calculations to Hosking & Whitworth, but under the ideal MHD approximation, to test new versions of the NIRVANA finite-difference code and the RAMSES Godunov adaptive mesh refinement code, respectively.”
Dynamic star formation in the massive DR21 filament (2010, methodology): “The simulation was performed with the Ramses code (Teyssier 2002, Fromang et al. 2006).”
Accretion-driven turbulence as universal process: galaxies, molecular clouds, and protostellar disks (2009, methodology): “They were performed with the adaptive meshrefinement magnetohydrodynamics code RAMSES (Teyssier 2002; Fromang et al. 2006) and include magnetic fields (initially uniform and equal to 5 μG) and self-gravity.”
High- and Low-Velocity Magnetized Outflows in the Star Formation Process in a Gravitationally Collapsing Cloud (2008, background): “The evolution of the magnetized cloud until the formation of the adiabatic core (hereafter the first core) was investigated by Machida et al. (2004, 2005a, 2005b, 2006b), Hosking&Whitworth (2004),Matsumoto & Tomisaka (2004), Ziegler (2005), and Fromang et al. (2006).”
Ambipolar diffusion in low-mass star formation - I. General comparison with the ideal magnetohydrodynamic case (2015, methodology): “To carry out our study of collapsing magnetised molecular cloud cores, we used the adaptive mesh refinement (AMR) code RAMSES (Teyssier 2002; Fromang et al. 2006) in its non-ideal MHD extension (Masson et al. 2012).”
Disk formation during collapse of magnetized protostellar cores (2009, methodology): “To carry out our numerical simulations, we used the AMR code Ramses (Teyssier 2002, Fromang et al. 2006).”
Cosmic Dawn (CoDa): the first radiation-hydrodynamics simulation of reionization and galaxy formation in the Local Universe (2015, methodology): “Gas dynamics is modeled using a second-order unsplit Godunov scheme (Teyssier et al. 2006; Fromang et al. 2006) based on the HLLC Riemann solver (Toro et al. 1994).”
Collapse, outflows and fragmentation of massive, turbulent and magnetized prestellar barotropic cores (2011, methodology): “To carry out our numerical simulations, we employed RAMSES (Teyssier 2002, Fromang et al. 2006), an adaptive mesh refinement code that uses Godunov schemes to solve the MHD equations and the constrained transport method to ensure that divB is maintained at zero within machine accuracy.”
Magnetic processes in a collapsing dense core II. Fragmentation. Is there a fragmentation crisis (2007, methodology): “Fragmentation of a collapsing magnetized cloud using adaptive mesh refinement techniques have also been studied by Ziegler (2005), Banerjee & Pudritz (2006) and Fromang et al. (2006) which all find that the magnetic field has a strong influence.”
PLUTO: A Numerical Code for Computational Astrophysics (2007, methodology): “The CTU method has been recently extended to magnetohydrodynamics in the work of Crockett et al. (2005), Gardiner & Stone (2005), and Fromang et al. (2006), and to relativistic hydrodynamics by Mignone et al. (2005b).”
AN IMPRINT OF MOLECULAR CLOUD MAGNETIZATION IN THE MORPHOLOGY OF THE DUST POLARIZED EMISSION (2013, methodology): “The cloud models used to characterize HRO are created by integrating the compressible ideal MHD equations using the RAMSES-MHD code (Teyssier 2002; Fromang et al. 2006).”
A new class of accurate, mesh-free hydrodynamic simulation methods (2014, methodology): “Specifically, we will employ a second-order accurate (in space and time) MUSCL-Hancock type scheme (van Leer 1984; Toro 1997), as used in state-of-the-art grid methods such as Fromang et al. (2006); Mignone et al. (2007); Cunningham et al. (2009); Springel (2010); Teyssier (2002).”
From the warm magnetized atomic medium to molecular clouds (2008, methodology): “In this letter, we present the first results of large adaptive mesh refinement (AMR), MHD simulations performed with the codes RAMSES (Teyssier 2002, Fromang et al. 2006) and FLASH (Fryxell et al. 2000).”
MHD simulations of the magnetorotational instability in a shearing box with zero net flux - I. The issue of convergence (2007, methodology): “…is no reason why this state of affairs should not apply when using Godunov codes like ATHENA (Gardiner & Stone 2005a) or RAMSES (Teyssier 2002; Fromang et al. 2006) or other codes making use of hyperviscosity to stabilise the numerical scheme, like the PENCIL code (Brandenburg & Dobler 2002)…”
Cusp-core transformations in dwarf galaxies: observational predictions (2012, methodology): “For the latter, we used the HLLC Riemann solver and the MinMod slope limiter (see Fromang et al. 2006 for related details).”
A simple unsplit Godunov method for multidimensional MHD (2009, unknown): “…Balsara and Spicer, 1999; Tóth, 2000,; Dedner et al., 2002; Pen et al., 2003; Londrillo and Del Zanna, 2004; Ziegler, 2004; Crockett et al., 2005; Fromang et al., 2006; Mignone et al., 2007; Cunningham et al., 2007), primarily because such methods are very good for shock capturing, and flows…”
Magnetic processes in a collapsing dense core I. Accretion and ejection (2007, methodology): “…developments have been realized and various 2D (Nakamura et al. 1995, Tomisaka 1998, Allen et al. 2003) as well as 3D numerical calculations have been performed (Hosking & Whitworth 2004, Machida et al. 2005, 2007, Ziegler 2005, Banerjee & Pudritz 2006, Fromang et al. 2006, Price & Bate 2007).”