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The Sun is the most studied of all stars. It is a reference for all other observed stars and a laboratory of fundamental physics helping us understand processes occuring in conditions irreproducible on Earth. However, our understanding of…

Simulations inform all aspects of modern astrophysical research, ranging in scale from 1D and 2D test problems that can run in seconds on an astronomer's laptop all the way to large-scale 3D calculations that run on the largest…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Nathan J Goldbaum

Simulating mantle convection often requires reaching a computationally expensive steady-state, crucial for deriving scaling laws for thermal and dynamical flow properties and benchmarking numerical solutions. The strong temperature…

Fluid Dynamics · Physics 2024-09-02 Siddhant Agarwal , Nicola Tosi , Christian Hüttig , David S. Greenberg , Ali Can Bekar

The cores of main sequence intermediate- and high-mass stars are convective. Mixing at the radiative-convective boundary, waves excited by the convection, and magnetic fields generated by convective dynamos all influence the main sequence…

Solar and Stellar Astrophysics · Physics 2023-08-02 Daniel Lecoanet , Philipp V. F. Edelmann

Yearslong time series of high-precision brightness measurements have been assembled for thousands of stars with telescopes operating in space. Such data have allowed astronomers to measure the physics of stellar interiors via nonradial…

Solar and Stellar Astrophysics · Physics 2021-01-27 C. Aerts

In gravitationally stratified fluids, length scales are normally much greater in the horizontal direction than in the vertical one. When modelling these fluids it can be advantageous to use the hydrostatic approximation, which filters out…

Instrumentation and Methods for Astrophysics · Physics 2013-07-29 Jonathan Braithwaite , Yuri Cavecchi

Stars on the lower main sequence (F-type through M-type) have substantial convective envelopes beneath their stellar photospheres. Convection in these regions can couple with rotation to build global-scale structures that may be observable…

Solar and Stellar Astrophysics · Physics 2011-07-01 Benjamin P. Brown

We present a numerical code for radiation hydrodynamics designed as a module for the freely available PLUTO code. We adopt a gray approximation and include radiative transfer following a two-moment approach by imposing the M1 closure to the…

Earth and Planetary Astrophysics · Physics 2021-01-20 Julio David Melon Fuksman , Hubert Klahr , Mario Flock , Andrea Mignone

We developed a one-dimensional magnetohydrodynamic (MHD) simulation code to investigate the long-term evolution of protoplanetary disks with low computational cost. In this simulation code, the physical processes necessary for protostellar…

Earth and Planetary Astrophysics · Physics 2025-08-11 Yudai Kobayashi , Daisuke Takaishi , Yusuke Tsukamoto , Shantanu Basu

We have used the AMR hydrodynamic code, MG, to perform 3D magnetohydrodynamic simulations with self-gravity of stellar feedback in a sheet-like molecular cloud formed through the action of the thermal instability. We simulate the…

Astrophysics of Galaxies · Physics 2017-01-25 C. J. Wareing , J. M. Pittard , S. A. E. G. Falle

We develop a new formalism to study the dynamics of fluid polytropes in three dimensions. The stars are modeled as compressible ellipsoids and the hydrodynamic equations are reduced to a set of ordinary differential equations for the…

Astrophysics · Physics 2009-10-22 Dong Lai , Frederic A. Rasio , Stuart L. Shapiro

We have used the AMR hydrodynamic code, MG, to perform 3D hydrodynamic simulations with self-gravity of stellar feedback in a spherical clumpy molecular cloud formed through the action of thermal instability. We simulate the interaction of…

Astrophysics of Galaxies · Physics 2017-07-26 Christopher J. Wareing , Julian M. Pittard , Samuel A. E. G. Falle

We present three-dimensional nonlinear magnetohydrodynamic simulations of the interiors of fully convective M-dwarfs. Our models consider 0.3 solar-mass stars using the Anelastic Spherical Harmonic code, with the spherical computational…

Astrophysics · Physics 2009-11-13 Matthew Browning

The early evolution of protostellar, star-forming discs, including their density structure, turbulence, magnetic dynamics, and accretion variability, remains poorly understood. We present high-resolution magnetohydrodynamic simulations,…

Solar and Stellar Astrophysics · Physics 2025-08-28 Trey Qingyun Yang , Christoph Federrath

I provide a pedagogic review of adaptive mesh refinement (AMR) radiation hydrodynamics (RHD) methods and codes used in simulations of star formation, at a level suitable for researchers who are not computational experts. I begin with a…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Mark R. Krumholz

Numerical MHD codes have become extraordinarily powerful tools with which to study accretion turbulence. They have been used primarily to extract values for the classical $\alpha$ parameter, and to follow complex evolutionary development.…

Astrophysics · Physics 2007-05-23 S. A. Balbus

We use three dimensional magnetohydrodynamic simulations to study the structure of the boundary layer between an accretion disc and a non-rotating, unmagnetized star. Under the assumption that cooling is efficient, we obtain a narrow but…

Astrophysics · Physics 2009-11-07 Philip J. Armitage

Modeling the solar atmosphere is challenging due to its layered structure and multi-scale dynamics. We aim to validate the new radiative MHD code MAGEC, which combines the MANCHA and MAGNUS codes into a finite-volume, shock-capturing…

Solar and Stellar Astrophysics · Physics 2025-11-10 Anamaría Navarro , E. Khomenko , N. Vitas , T. Felipe

Waves observed in the photosphere and chromosphere of sunspots show complex dynamics and spatial patterns. The interpretation of high-resolution sunspot wave observations requires modeling of three-dimensional non-linear wave propagation…

Solar and Stellar Astrophysics · Physics 2015-05-19 T. Felipe , E. Khomenko , M. Collados

We describe a newly developed hydrodynamic code for studying accretion disk processes. The numerical method uses a finite volume, nonlinear, Total Variation Diminishing (TVD) scheme to capture shocks and control spurious oscillations. It is…

Astrophysics · Physics 2008-12-18 L. R. Mudryk , N. W. Murray