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We present magneto-hydrodynamic simulation results for heterogeneous systems. Heterogeneous architectures combine high floating point performance many-core units hosted in conventional server nodes. Examples include Graphics Processing…

Performance · Computer Science 2010-11-04 Bijia Pang , Ue-li Pen , Michael Perrone

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

We present a new numerical model for solving the Chew-Goldberger-Low system of equations describing a bi-Maxwellian plasma in a magnetic field. Heliospheric and geospace environments are often observed to be in an anisotropic state with…

Plasma Physics · Physics 2024-05-31 Deepak Bhoriya , Dinshaw S. Balsara , Vladimir Florinski , Harish Kumar

This report presents a comprehensive analysis of the performance of GPU accelerated meshfree CFD solvers for two-dimensional compressible flows in Fortran, C++, Python, and Julia. The programming model CUDA is used to develop the GPU codes.…

Programming Languages · Computer Science 2023-05-03 Nischay Ram Mamidi , Kumar Prasun , Dhruv Saxena , Anil Nemili , Bharatkumar Sharma , S. M. Deshpande

This article introduces a new 3D magnetohydrodynamic (MHD) equilibrium solver, based on the concept of admissible variations of B, p that allows for magnetic relaxation of a magnetic field in a perturbed/non-minimum energy state to a lower…

Computational Physics · Physics 2025-11-03 Tobias Blickhan , Julianne Stratton , Alan A. Kaptanoglu

In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers based on this approach compute both the solution and its temporal derivative. In comparison with…

Numerical Analysis · Mathematics 2013-03-26 Michal Wrobel , Gennady Mishuris

We compare the statistical properties of J=1-0 13CO spectra observed in the Perseus Molecular Cloud with synthetic J=1-0 13CO spectra from a 5 pc model cloud. The synthetic spectra are computed solving the non-LTE radiative transfer problem…

Astrophysics · Physics 2007-05-23 Paolo Padoan , John Bally , Youssef Billawala , Mika Juvela , AAke Nordlund

In this paper, we present three-dimensional (3D) Particle-In-Cell (PIC) simulations to study the stability of 2D Bernstein-Greene-Kruskal (BGK) modes in a magnetized plasma with a finite background magnetic field. The simulations were…

Plasma Physics · Physics 2024-10-23 M. T. Franciscovich , J. McClung , K. Germaschewski , C. S. Ng

The objective of this study is to develop a fully compressible magnetohydrodynamic solver for fast simulations of the global dynamo of the Sun using unstructured grids and GPUs. Accurate modeling of the Sun's convective layers is vital to…

Solar and Stellar Astrophysics · Physics 2025-02-26 Aidan Paoli , Chunlei Liang

An algorithm for simulating self-gravitating cosmological astrophysical fluids is presented. The advantages include a large dynamic range, parallelizability, high resolution per grid element and fast execution speed. The code is based on a…

Astrophysics · Physics 2009-10-30 Ue-Li Pen

In this paper, we have solved 1D special relativistic hydrodynamical equations using different numerical method in computational gas dynamics. The numerical solutions of these equations for smooth wave cases give better solution when we use…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Orhan Donmez

In this paper, we develop a new method for magnetohydrodynamics (MHD) using smoothed particle hydrodynamics (SPH). To describe MHD shocks accurately, the Godunov method is applied to SPH instead of artificial dissipation terms. In the…

Astrophysics of Galaxies · Physics 2015-05-28 Kazunari Iwasaki , Shu-ichiro Inutsuka

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

We present an update of the General-relativistic multigrid numerical (Gmunu) code, a parallelized, multi-dimensional curvilinear, general relativistic magnetohydrodynamics code with an efficient non-linear cell-centred multigrid (CCMG)…

Instrumentation and Methods for Astrophysics · Physics 2021-09-20 Patrick Chi-Kit Cheong , Alan Tsz-Lok Lam , Harry Ho-Yin Ng , Tjonnie Guang Feng Li

The pseudospectral method is a highly accurate numerical scheme suitable for turbulence simulations. We have developed an open-source pseudospectral code, \textsc{\textsf{Calliope}}, which adopts the P3DFFT library \citep{Pekurovsky2012} to…

Plasma Physics · Physics 2022-05-18 Y. Kawazura

We present the AGATE simulation code, a Python-based framework developed primarily for solving the magnetohydrodynamics (MHD) equations while maintaining adaptability to other equation sets. The code employs a modular, object-oriented…

Plasma Physics · Physics 2025-05-15 Chris Bard , John Dorelli

This article presents a comparison of various implementations of the Lattice Discrete Particle Model (LDPM) for the numerical simulation of concrete and other heterogeneous quasibrittle materials. The comparison involves the use of…

Despite their discovery about half a century ago, the Gamma-ray burst (GRB) prompt emission mechanism is still not well understood. Theoretical modeling of the prompt emission has advanced considerably due to new computational tools and…

High Energy Astrophysical Phenomena · Physics 2023-07-19 Jose Arita-Escalante , Tyler Parsotan , S. Bradley Cenko

This paper describes ZEUS-MP, a multi-physics, massively parallel, message- passing implementation of the ZEUS code. ZEUS-MP differs significantly from the ZEUS-2D code, the ZEUS-3D code, and an early "version 1" of ZEUS-MP distributed…

We present a comparison between finite differences schemes and a pseudospectral method applied to the numerical integration of stochastic partial differential equations that model surface growth. We have studied, in 1+1 dimensions, the…

Statistical Mechanics · Physics 2009-11-13 Rafael Gallego , Mario Castro , Juan M. López