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Magnetohydrodynamic (MHD) spectroscopy is central to many astrophysical disciplines, ranging from helio- to asteroseismology, over solar coronal (loop) seismology, to the study of waves and instabilities in jets, accretion disks, or…

Solar and Stellar Astrophysics · Physics 2021-06-02 Niels Claes , Jordi De Jonghe , Rony Keppens

Traditional methods for solving physical equations in curved spaces, especially in fluid mechanics and general relativity, rely heavily on the use of Christoffel symbols. These symbols provide the necessary corrections to account for…

Fluid Dynamics · Physics 2024-10-31 Miguel A. Herrada

In this article, we pursue our investigation of the connections between the theory of computation and hydrodynamics. We prove the existence of stationary solutions of the Euler equations in Euclidean space, of Beltrami type, that can…

Analysis of PDEs · Mathematics 2023-06-16 Robert Cardona , Eva Miranda , Daniel Peralta-Salas

Cosmological simulations are powerful tools in the context of structure formation. They allow us to explore the assembly and clustering of dark matter halos, to validate or reject possible scenarios of structure formation, and to…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-12 Milena Valentini , Klaus Dolag

We compare high-order methods including spectral difference (SD), flux reconstruction (FR), the entropy-stable discontinuous Galerkin spectral element method (ES-DGSEM), modal discontinuous Galerkin methods, and WENO to select the best…

Fluid Dynamics · Physics 2023-08-09 Ahmad Peyvan , Khemraj Shukla , Jesse Chan , George Karniadakis

We describe the magnetohydrodynamics (MHD) code CRONOS, which has been used in astrophysics and space physics studies in recent years. CRONOS has been designed to be easily adaptable to the problem at hand, where the user can expand or…

Instrumentation and Methods for Astrophysics · Physics 2018-07-04 R. Kissmann , J. Kleimann , B. L. Krebl , T. Wiengarten

The design of inertial fusion experiments is a complex task as driver energy must be delivered in a precise manner to a structured target to achieve a fast, but hydrodynamically stable, implosion. Radiation-hydrodynamics simulation codes…

Plasma Physics · Physics 2025-08-29 A. J. Crilly , P. W. Moloney , D. Shi , E. A. Ferdinandi

We investigate the numerical performance of a Discontinuous Galerkin (DG) hydrodynamics implementation when applied to the problem of driven, isothermal supersonic turbulence. While the high-order element-based spectral approach of DG is…

Instrumentation and Methods for Astrophysics · Physics 2024-10-03 Miha Cernetic , Volker Springel , Thomas Guillet , Rüdiger Pakmor

Integrating computational fluid dynamics (CFD) solvers into optimization and machine-learning frameworks is hampered by the rigidity of classic computational languages and the slow performance of more flexible high-level languages. In this…

Fluid Dynamics · Physics 2025-07-22 Gabriel D. Weymouth , Bernat Font

In this paper, the discontinuous Galerkin based high-order gas-kinetic schemes (DG-HGKS) are developed for the three-dimensional Euler and Navier-Stokes equations. Different from the traditional discontinuous Galerkin (DG) methods with…

Numerical Analysis · Mathematics 2022-03-01 Yuhang Wang , Liang Pan

Hyperdimensional Computing (HDC) is an emerging computational paradigm for representing compositional information as high-dimensional vectors, and has a promising potential in applications ranging from machine learning to neuromorphic…

Information Theory · Computer Science 2024-03-07 Netanel Raviv

We present the new code ALCAR developed to model multidimensional, multi energy-group neutrino transport in the context of supernovae and neutron-star mergers. The algorithm solves the evolution equations of the 0th- and 1st-order angular…

High Energy Astrophysical Phenomena · Physics 2015-09-09 Oliver Just , Martin Obergaulinger , H. -Thomas Janka

Many problems in stellar astrophysics feature flows at low Mach numbers. Conventional compressible hydrodynamics schemes frequently used in the field have been developed for the transonic regime and exhibit excessive numerical dissipation…

Instrumentation and Methods for Astrophysics · Physics 2015-04-01 F. Miczek , F. K. Roepke , P. V. F. Edelmann

In this paper we present a genuinely two-dimensional HLLC Riemann solver. On logically rectangular meshes, it accepts four input states that come together at an edge and outputs the multi-dimensionally upwinded fluxes in both directions.…

Computational Physics · Physics 2015-05-30 Dinshaw S. Balsara

Modeling unresolved turbulence in astrophysical gasdynamic simulations can improve the modeling of other subgrid processes dependent on the turbulent structure of gas: from flame propagation in the interiors of combusting white dwarfs to…

Astrophysics of Galaxies · Physics 2025-11-19 Vadim A. Semenov

This paper describes a multidimensional hydrodynamic code which can be used for studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws based…

Astrophysics · Physics 2009-11-13 Eunwoo Choi , Dongsu Ryu

We describe the CRASH (Center for Radiative Shock Hydrodynamics) code, a block adaptive mesh code for multi-material radiation hydrodynamics. The implementation solves the radiation diffusion model with the gray or multigroup method and…

Solar and Stellar Astrophysics · Physics 2015-05-27 B. van der Holst , G. Toth , I. V. Sokolov , K. G. Powell , J. P. Holloway , E. S. Myra , Q. Stout , M. L. Adams , J. E. Morel , R. P. Drake

Aims. We present a new radiation hydrodynamics code, called "ARK-RT" which uses a two-moment model with the M1 closure relation for radiative transfer. This code aims at being ready for high-performance computing, on exascale architectures.…

Instrumentation and Methods for Astrophysics · Physics 2021-02-24 H. Bloch , P. Tremblin , M. González , T. Padioleau , E. Audit

We have extended Cosmos++, a multi-dimensional unstructured adaptive mesh code for solving the covariant Newtonian and general relativistic radiation magnetohydrodynamic (MHD) equations, to accommodate both discrete finite volume and…

Instrumentation and Methods for Astrophysics · Physics 2017-08-23 Peter Anninos , Colton Bryant , P. Chris Fragile , A. Miguel Holgado , Cheuk Lau , Daniel Nemergut

Hydrodynamics And Radiation Diffusion} (HARD) is an open-source application for high-performance simulations of compressible hydrodynamics with radiation-diffusion coupling. Built on the FleCSI (Flexible Computational Science…