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Higher order finite volume schemes for magnetohydrodynamics (MHD) and relativistic magnetohydrodynamics (RMHD) are very valuable because they allow us to carry out astrophysical simulations with very high accuracy. However, astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2025-06-16 Dinshaw S. Balsara , Deepak Bhoriya , Chetan Singh , Harish Kumar , Roger Käppeli , Federico Gatti

We describe a numerical method to solve the magnetohydrodynamic (MHD) equations. The fluid variables are updated along each direction using the flux conservative, 2nd order, total variation diminishing (TVD), upwind scheme of Jin and Xin.…

Astrophysics · Physics 2015-06-24 Ue-Li Pen , Phil Arras , ShingKwong Wong

We present new analytical three-dimensional solutions of the magnetohydrostatic equations, which are applicable to the co-rotating frame of reference outside a rigidly rotating cylindrical body, and have potential applications to planetary…

Solar and Stellar Astrophysics · Physics 2017-11-13 Fiona Wilson , Thomas Neukirch

We present a new multi-dimensional radiation-hydrodynamics code for massive stellar core-collapse in full general relativity (GR). Employing an M1 analytical closure scheme, we solve spectral neutrino transport of the radiation energy and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Takami Kuroda , Tomoya Takiwaki , Kei Kotake

The Community Coordinated Modeling Center (CCMC) at NASA Goddard Space Flight Center is a multi-agency partnership to enable, support and perform research and development for next-generation space science and space weather models. CCMC…

Instrumentation and Methods for Astrophysics · Physics 2017-03-23 Ilja Honkonen , Lutz Rastätter , Alex Glocer

Realistic numerical simulations, i.e., those that make minimal use of ad hoc modeling, are essential for understanding the complex turbulent dynamics of the interiors and atmospheres of the Sun and other stars and the basic mechanisms of…

Solar and Stellar Astrophysics · Physics 2015-07-30 Alan A. Wray , Khalil Bensassi , Irina N. Kitiashvili , Nagi N. Mansour , Alexander G. Kosovichev

In the present study, a characteristic-based boundary condition scheme is developed for the compressible magnetohydrodynamic (MHD) equations in the general curvilinear coordinate system, which is an extension of the characteristic boundary…

Computational Physics · Physics 2023-10-24 P. Makaremi-Esfarjani , A. Najafi-Yazdi

Multidimensional hydrodynamical simulations have transformed the study of stellar interiors over the past few decades. Most codes developed during that time use the anelastic approximation, which fixes the thermal structure of simulations…

Magnetohydrodynamics is an important tool to study the dynamics of plasma Space Physics. In this context, we introduce a three-dimensional magnetohydrodynamic solver with divergence-cleaning in the adaptive multiresolution CARMEN code. The…

Numerical Analysis · Mathematics 2019-03-18 Anna Karina Fontes Gomes , Margarete Oliveira Domingues , Odim Mendes , Kai Schneider

The new code for numerical simulation of magnetic hydrodynamical astrophysical flows with consideration of chemical reactions is given in the paper. At the heart of the code - the new original low-dissipation numerical method based on a…

Instrumentation and Methods for Astrophysics · Physics 2016-09-01 Igor Kulikov , Igor Chernykh , Viktor Protasov

We introduce CRK-HACC, an extension of the Hardware/Hybrid Accelerated Cosmology Code (HACC), to resolve gas hydrodynamics in large-scale structure formation simulations of the universe. The new framework couples the HACC gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-01 Nicholas Frontiere , J. D. Emberson , Michael Buehlmann , Joseph Adamo , Salman Habib , Katrin Heitmann , Claude-André Faucher-Giguère

We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions. We split the system of differential equations into two parts, a non-stiff and a stiff part. For the non-stiff…

Nuclear Theory · Physics 2023-04-05 Kouki Nakamura , Takahiro Miyoshi , Chiho Nonaka , Hiroyuki R. Takahashi

We describe a newly developed cosmological hydrodynamics code based on the weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws. High order finite difference WENO schemes are designed for problems with…

Astrophysics · Physics 2007-05-23 Long-Long Feng , Chi-Wang Shu , Meng-Ping Zhang

Designing efficient and high-accuracy numerical methods for complex dynamic incompressible magnetohydrodynamics (MHD) equations remains a challenging problem in various analysis and design tasks. This is mainly due to the nonlinear coupling…

Numerical Analysis · Mathematics 2023-11-28 Xiaofei Guan , Boya Hu , Shipeng Mao , Xintong Wang , Zihao Yang

We report on the development of a test-particle based kinetic Monte Carlo code for large systems and its application to simulate matter in the continuum regime. Our code combines advantages of the Direct Simulation Monte Carlo and the…

Fluid Dynamics · Physics 2014-07-31 Irina Sagert , Wolfgang Bauer , Dirk Colbry , Rodney Pickett , Terrance Strother

We have built a code to obtain the exact solutions of Riemann problems in ideal magnetohydrodynamics (MHD) for an arbitrary initial condition. The code can handle not only regular waves but also switch-on/off rarefactions and all types of…

High Energy Astrophysical Phenomena · Physics 2019-02-20 Kazuya Takahashi , Shoichi Yamada

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…

Magnetohydrodynamic (MHD) simulations of the solar corona have become more popular with the increased availability of computational power. Modern computational plasma codes, relying upon Computational Fluid Dynamics (CFD) methods, allow for…

Solar and Stellar Astrophysics · Physics 2022-04-06 Michaela Brchnelova , Fan Zhang , Peter Leitner , Barbara Perri , Andrea Lani , Stefaan Poedts

Magnetohydrodynamic (MHD) simulations are indispensable research infrastructure in astrophysics today. In order to satisfy the solenoidal constraint of the MHD equations on discretized grids, modern simulation codes often employ either…

Instrumentation and Methods for Astrophysics · Physics 2026-05-11 Kengo Tomida , Kenji Eric Sadanari , Shinsuke Takasao , Kazunari Iwasaki

We have developed a new three-dimensional general relativistic magnetohydrodynamic (GRMHD) code, RAISHIN, using a conservative, high resolution shock-capturing scheme. The numerical fluxes are calculated using the Harten, Lax, & van Leer…

Astrophysics · Physics 2007-05-23 Yosuke Mizuno , Ken-Ichi Nishikawa , Shinji Koide , Philip Hardee , Gerald J. Fishman
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