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Numerical solutions of the incompressible magnetohydrodynamic (MHD) equations are reported for the interior of a rotating, perfectly-conducting, rigid spherical shell that is insulator-coated on the inside. A previously-reported spectral…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , D. C. Montgomery , L. Turner

We describe a Godunov-type magnetohydrodynamic (MHD) code based on the Miyoshi and Kusano (2005) solver which can be used to solve various astrophysical hydrodynamic and MHD problems. The energy equation is in the form of entropy…

Astrophysics of Galaxies · Physics 2015-12-16 A. V. Koldoba , G. V. Ustyugova , P. S. Lii , M. L. Comins , S. Dyda , M. M. Romanova , R. V. E. Lovelace

We describe the implementation of a module for the Athena magnetohydrodynamics (MHD) code which solves the time-independent, multi-frequency radiative transfer (RT) equation on multidimensional Cartesian simulation domains, including…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Shane W. Davis , James M. Stone , Yan-Fei Jiang

In this paper, we describe a new hydrodynamics code for 1D and 2D astrophysical simulations, BETHE-hydro, that uses time-dependent, arbitrary, unstructured grids. The core of the hydrodynamics algorithm is an arbitrary Lagrangian-Eulerian…

Astrophysics · Physics 2009-11-13 Jeremiah W. Murphy , Adam Burrows

In this paper, we train turbulence models based on convolutional neural networks. These learned turbulence models improve under-resolved low resolution solutions to the incompressible Navier-Stokes equations at simulation time. Our study…

Fluid Dynamics · Physics 2022-10-12 Björn List , Li-Wei Chen , Nils Thuerey

Many astrophysical phenomena are highly subsonic, requiring specialized numerical methods suitable for long-time integration. In a series of earlier papers we described the development of MAESTRO, a low Mach number stellar hydrodynamics…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 A. Nonaka , A. S. Almgren , J. B. Bell , M. J. Lijewski , C. M. Malone , M. Zingale

Following on our previous work [S. Delong and B. E. Griffith and E. Vanden-Eijnden and A. Donev, Phys. Rev. E, 87(3):033302, 2013], we develop temporal integrators for solving Langevin stochastic differential equations that arise in…

Statistical Mechanics · Physics 2015-06-23 S. Delong , Y. Sun , B. E. Griffith , E. Vanden-Eijnden , A. Donev

We present a new special relativistic hydrodynamics (SRHD) code capable of handling coexisting ultra-relativistically hot and non-relativistically cold gases. We achieve this by designing a new algorithm for conversion between primitive and…

High Energy Astrophysical Phenomena · Physics 2021-04-21 Po-Hsun Tseng , Hsi-Yu Schive , Tzihong Chiueh

The present research proposes a new memory-efficient method using diffusion models to inject turbulent inflow conditions into Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) for various flow problems. A guided diffusion…

In this paper, the second in a series, we document the algorithms and solvers for compressible nonrelativistic hydrodynamics implemented in GenASiS (General Astrophysical Simulation System)---a new code being developed initially and…

Instrumentation and Methods for Astrophysics · Physics 2015-07-09 Christian Y. Cardall , Reuben D. Budiardja , Eirik Endeve , Anthony Mezzacappa

Simulation of fluid flows is crucial for modeling physical phenomena like meteorology, aerodynamics, and biomedicine. Classical numerical solvers often require fine spatiotemporal grids to satisfy stability, consistency, and convergence…

Machine Learning · Computer Science 2025-07-04 Mengtao Yan , Qi Wang , Haining Wang , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Fan Yu , Qi Qi , Hao Sun

Numerical relativity is central to the investigation of astrophysical sources in the dynamical and strong-field gravity regime, such as binary black hole and neutron star coalescences. Current challenges set by gravitational-wave and…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Boris Daszuta , Francesco Zappa , William Cook , David Radice , Sebastiano Bernuzzi , Viktoriya Morozova

We present Cholla (Computational Hydrodynamics On ParaLLel Architectures), a new three-dimensional hydrodynamics code that harnesses the power of graphics processing units (GPUs) to accelerate astrophysical simulations. Cholla models the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Evan E. Schneider , Brant E. Robertson

The discovery of dynamical models from data represents a crucial step in advancing our understanding of physical systems. Library-based sparse regression has emerged as a powerful method for inferring governing equations directly from…

Computational Physics · Physics 2025-01-09 Matthew Golden , Kaushik Satapathy , Dimitrios Psaltis

Numerical simulations with self-similar initial and boundary conditions provide a link between theoretical and numerical investigations of jet dynamics. We perform axisymmetric resistive magnetohydrodynamic (MHD) simulations for a…

Astrophysics · Physics 2009-11-13 Miljenko Cemeljic , Jose Gracia , Nektarios Vlahakis , Kanaris Tsinganos

Accurate characterization of subsurface heterogeneity is challenging but essential for applications such as reservoir pressure management, geothermal energy extraction and CO$_2$, H$_2$, and wastewater injection operations. This challenge…

Machine Learning · Computer Science 2026-04-16 Harun Ur Rashid , Mingxin Li , Aleksandra Pachalieva , Georg Stadler , Daniel O'Malley

The Pencil Code is a highly modular physics-oriented simulation code that can be adapted to a wide range of applications. It is primarily designed to solve partial differential equations (PDEs) of compressible hydrodynamics and has lots of…

This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics-based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical…

We describe an extension of the cosmological hydrodynamics code ENZO to include the self-consistent transport of ionizing radiation modeled in the flux-limited diffusion approximation. A novel feature of our algorithm is a coupled implicit…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Michael L. Norman , Daniel R. Reynolds , Geoffrey C. So

The JOREK extended magneto-hydrodynamic (MHD) code is a widely used simulation code for studying the non-linear dynamics of large-scale instabilities in divertor tokamak plasmas. Due to the large scale-separation intrinsic to these…

Computational Physics · Physics 2021-10-27 I Holod , M Hoelzl , P S Verma , GTA Huijsmans , R Nies , JOREK Team
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