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Many astrophysical systems of interest to numerical relativity-such as rapidly rotating stars, black hole accretion disks, and core-collapse supernovae-exhibit near-symmetries. These systems generally consist of a strongly gravitating…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Terrence Pierre Jacques , Samuel Cupp , Leonardo R. Werneck , Samuel D. Tootle , Maria C. Babiuc Hamilton , Zachariah B. Etienne

We present Guangqi, a new two-dimensional, finite-volume radiation hydrodynamics code designed for high-performance astrophysical simulations. The code simultaneously resolves the hydrodynamic equations for complex equations of state (EoS)…

Instrumentation and Methods for Astrophysics · Physics 2026-02-16 Zhuo Chen , Xue-Ning Bai

We develop a new algorithm for the Brownian dynamics of soft matter systems that evolves time by spatially correlated Monte Carlo moves. The algorithm uses vector wavelets as its basic moves and produces hydrodynamics in the low Reynolds…

Soft Condensed Matter · Physics 2017-04-26 Oliver T Dyer , Robin C Ball

We present a simple wavefront-like approach for computing multiplicatively weighted Voronoi diagrams of points and straight-line segments in the Euclidean plane. If the input sites may be assumed to be randomly weighted points then the use…

Computational Geometry · Computer Science 2020-06-26 Martin Held , Stefan de Lorenzo

We study the problem of decomposing a volume bounded by a smooth surface into a collection of Voronoi cells. Unlike the dual problem of conforming Delaunay meshing, a principled solution to this problem for generic smooth surfaces remained…

Astrophysical turbulent flows display an intrinsically multi-scale nature, making their numerical simulation and the subsequent analyses of simulated data a complex problem. In particular, two fundamental steps in the study of turbulent…

Instrumentation and Methods for Astrophysics · Physics 2024-07-10 David Vallés-Pérez , Susana Planelles , Vicent Quilis , Frederick Groth , Tirso Marin-Gilabert , Klaus Dolag

We describe and implement an adaptive particle-mesh algorithm to solve the Poisson equation for grid-based hydrodynamics codes with nested grids. The algorithm is implemented and extensively tested within the astrophysical code Enzo against…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Jean-Claude Passy , Greg L. Bryan

The diffuse medium in and around galaxies can exist in a multi-phase state: small, cold gas clouds contributing significantly to the total mass embedded in pressure equilibrium with a hotter, more diffuse volume-filling component. Modeling…

Astrophysics of Galaxies · Physics 2022-12-28 Rainer Weinberger , Lars Hernquist

We describe a grid-based numerical method for 3D hydrodynamic cosmological simulations which is adaptive in space and time and combines the best features of higher order--accurate Godunov schemes for Eulerian hydrodynamics with adaptive…

Astrophysics · Physics 2016-01-27 Michael L. Norman , Greg L. Bryan

A coupled hygro-thermo-mechanical computational model is proposed for fibre reinforced polymers, formulated within the framework of Computational Homogenisation (CH). At each macrostructure Gauss point, constitutive matrices for thermal,…

Computational Engineering, Finance, and Science · Computer Science 2016-10-14 Zahur Ullah , Lukasz Kaczmarczyk , Sotirios Grammatikos , Mark Evernden , Chris Pearce

The role of major mergers in galaxy evolution remains a key open question. Existing empirical merger identification methods use non-parametric and subjective visual classifications which can pose systematic challenges to constraining merger…

We introduce a geometric multigrid method for solving linear systems arising from variational problems on surfaces in geometry processing, Gravo MG. Our scheme uses point clouds as a reduced representation of the levels of the multigrid…

Computational Geometry · Computer Science 2023-07-12 Ruben Wiersma , Ahmad Nasikun , Elmar Eisemann , Klaus Hildebrandt

Due to the prevalence of magnetic fields in astrophysical environments, magnetohydrodynamic (MHD) simulation has become a basic tool for studying astrophysical fluid dynamics. To further advance the precision of MHD simulations, we have…

High Energy Astrophysical Phenomena · Physics 2023-08-09 Jeongbhin Seo , Dongsu Ryu

We assess the robustness of a low Mach number hydrodynamics algorithm for modeling helium shell convection on the surface of a white dwarf in the context of the sub-Chandrasekhar model for Type Ia supernovae. We use the low Mach number…

Solar and Stellar Astrophysics · Physics 2015-06-12 M. Zingale , A. Nonaka , A. S. Almgren , J. B. Bell , C. M. Malone , R. J. Orvedahl

We present a computational method to solve the magnetohydrodynamic equations in spherical geometry. The technique is fully nonlinear and wholly spectral, and uses an expansion basis that is adapted to the geometry: Chandrasekhar-Kendall…

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

This paper describes the design and implementation of our new multi-group, multi-dimensional radiation hydrodynamics (RHD) code Fornax and provides a suite of code tests to validate its application in a wide range of physical regimes.…

Instrumentation and Methods for Astrophysics · Physics 2019-03-06 M. Aaron Skinner , Joshua C. Dolence , Adam Burrows , David Radice , David Vartanyan

Galaxy mergers have been investigated for decades using smoothed particle hydrodynamics (SPH), but recent work highlighting inaccuracies inherent in the traditional SPH technique calls into question the reliability of previous studies. We…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-26 Christopher C. Hayward , Paul Torrey , Volker Springel , Lars Hernquist , Mark Vogelsberger

In this paper, we present a multiple-time-step integration algorithm (MTSA) for particle collisions in particle-resolved simulations. Since the time step required for resolving a collision process is much smaller than that for a fluid flow,…

Fluid Dynamics · Physics 2023-03-28 Zhengping Zhu , Ruifeng Hu , Xiaojing Zheng

Continuing on our previous work [ArXiv:1212.2644], we develop semi-implicit numerical methods for solving low Mach number fluctuating hydrodynamic equations appropriate for modeling diffusive mixing in isothermal mixtures of fluids with…

Numerical Analysis · Mathematics 2016-01-20 A. J. Nonaka , Y. Sun , J. B. Bell , A. Donev

In this work we extend the non-ideal magnetohydrodynamics (MHD) solver in the moving mesh code AREPO to include the Hall effect. The core of our algorithm is based on an estimation of the magnetic field gradients by a least-square…

Instrumentation and Methods for Astrophysics · Physics 2023-09-29 Oliver Zier , Alexander C. Mayer , Volker Springel
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