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Magnetohydrodynamics (MHD) describes the interaction between electrically conducting fluids and electromagnetic fields. We propose and analyze a symplectic, second-order algorithm for the evolutionary MHD system in Els\"asser variables. We…

Numerical Analysis · Mathematics 2025-07-18 Zhen Yao , Catalin Trenchea , Wenlong Pei

We present pkdgrav3, a high-performance, fully parallel tree-SPH code designed for large-scale hydrodynamic simulations including self-gravity. Building upon the long development history of pkdgrav, the code combines an efficient…

Earth and Planetary Astrophysics · Physics 2026-05-14 Thomas Meier , Douglas Potter , Christian Reinhardt , Joachim Stadel

The 21-cm signal from neutral hydrogen in the early universe will provide unprecedented information about the first stars and galaxies. Extracting this information, however, requires accounting for many unknown astrophysical processes.…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-21 Charlotte A. Mason , Julian B. Muñoz , Bradley Greig , Andrei Mesinger , Jaehong Park

Orbital advection is a significant bottleneck in disk simulations, and a particularly tricky one when used in connection with magnetohydrodynamics. We have developed an orbital advection algorithm suitable for the induction equation with…

Earth and Planetary Astrophysics · Physics 2017-09-27 Wladimir Lyra , Colin P. McNally , Tobias Heinemann , Frederic Masset

We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells. The new scheme is implemented within the code VULCAN/2D, which…

Astrophysics · Physics 2009-11-13 Eli Livne , Luc Dessart , Adam Burrows , Casey A. Meakin

GAMER, a parallel Graphic-processing-unit-accelerated Adaptive-MEsh-Refinement hydrodynamic code, has been extended to support magnetohydrodynamics (MHD) with both the corner-transport-upwind (CTU) and MUSCL-Hancock schemes and the…

Computational Physics · Physics 2018-06-22 Ui-Han Zhang , Hsi-Yu Schive , Tzihong Chiueh

Widely used Lagrangian numerical codes that compute the physical interaction with neighbouring resolution elements (particles), duplicate the calculation of the interaction between pairs of particles. We developed an algorithm that reduces…

Instrumentation and Methods for Astrophysics · Physics 2020-12-07 Isaac Alonso Asensio , Claudio Dalla Vecchia

We present for astrophysical use a multi-dimensional numerical code to solve the equations for ideal magnetohydrodynamics (MHD). It is based on an explicit finite difference method on an Eulerian grid, called the Total Variation Diminishing…

Astrophysics · Physics 2016-08-30 Dongsu Ryu , T. W. Jones , Adam Frank

Considering visual localization accuracy at the planning time gives preference to robot motion that can be better localized and thus has the potential of improving vision-based navigation, especially in visually degraded environments. To…

Robotics · Computer Science 2020-08-11 Zichao Zhang , Davide Scaramuzza

We describe the first parallel implementation of an adaptive particle-particle, particle-mesh code with smoothed particle hydrodynamics. Parallelisation of the serial code, ``Hydra'', is achieved by using CRAFT, a Cray proprietary language…

Astrophysics · Physics 2009-10-30 F. R. Pearce , H. M. P. Couchman

This paper describes a novel approach to neighbour-finding in Smoothed Particle Hydrodynamics (SPH) simulations with large dynamic range in smoothing length. This approach is based on hierarchical cell decompositions, sorted interactions,…

Instrumentation and Methods for Astrophysics · Physics 2013-09-17 Pedro Gonnet , Matthieu Schaller , Tom Theuns , Aidan B. G. Chalk

The paper presents two contributions in the context of the numerical simulation of magnetized fluid dynamics. First, we show how to extend the ideal magnetohydrodynamics (MHD) equations with an inbuilt magnetic field divergence cleaning…

Computational Physics · Physics 2018-04-20 Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch , Marvin Bohm

We study a turbulent helical dynamo in a periodic domain by solving the ideal magnetohydrodynamic (MHD) equations with the FLASH code using the divergence-cleaning eight-wave method and compare our results with direct numerical simulations…

Solar and Stellar Astrophysics · Physics 2020-01-28 Axel Brandenburg , Evan Scannapieco

A description is given of the algorithms implemented in the AstroBEAR adaptive mesh refinement code for ideal magnetohydrodynamics. The code provides several high resolution, shock capturing schemes which are constructed to maintain…

Astrophysics · Physics 2009-06-23 Andrew J. Cunningham , Adam Frank , Peggy Varniere , Sorin Mitran , Thomas W. Jones

This paper introduces a fast Central Processing Unit (CPU) implementation of geodesic morphological operations using stream processing. In contrast to the current state-of-the-art, that focuses on achieving insensitivity to the filter sizes…

Performance · Computer Science 2019-12-02 Danijel Žlaus , Domen Mongus

We describe a numerical code to solve the equations for ideal magnetohydrodynamics (MHD). It is based on an explicit finite difference scheme on an Eulerian grid, called the Total Variation Diminishing (TVD) scheme, which is a…

Astrophysics · Physics 2009-10-22 Dongsu Ryu , T. W. Jones

Computational Fluid Dynamics (CFD) is a major sub-field of engineering. Corresponding flow simulations are typically characterized by heavy computational resource requirements. Often, very fine and complex meshes are required to resolve…

Machine Learning · Computer Science 2021-02-26 Keefe Huang , Moritz Krügener , Alistair Brown , Friedrich Menhorn , Hans-Joachim Bungartz , Dirk Hartmann

Cartesian-grid methods with Adaptive Mesh Refinement (AMR) are ideally suited for simulating the breaking of waves, the formation of spray, and the entrainment of air around ships. As a result of the cartesian-grid formulation, minimal…

Many interesting terrestrial and astrophysical scenarios involving magnetic fields can be approached in axial geometry. Even though the Lagrangian smoothed particle hydrodynamics (SPH) technique has been successfully extended to handle…

Instrumentation and Methods for Astrophysics · Physics 2022-07-05 Domingo García-Senz , Robert Wissing , Rubén M. Cabezón

Many astrophysical and terrestrial scenarios involving magnetic fields can be approached in axial geometry. Although the smoothed particle hydrodynamics (SPH) technique has been successfully extended to magneto-hydrodynamics (MHD), a…

Instrumentation and Methods for Astrophysics · Physics 2022-12-14 Domingo García-Senz , Robert Wissing , Rubén M. Cabezón , Eda Vurgun , Manuel Linares