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Related papers: GenASiS: General Astrophysical Simulation System. …

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We examine the hydrodynamic limit of non-conformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to non-conformal brane solutions…

High Energy Physics - Theory · Physics 2009-04-22 Ingmar Kanitscheider , Kostas Skenderis

In this paper, the general procedure to solve the General Relativistic Hydrodynamical(GRH) equations with Adaptive-Mesh Refinement (AMR) is presented. In order to achieve, the GRH equations are written in the conservation form to exploit…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Orhan Donmez

We have developed a new computer code, RELDAFNA, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite…

High Energy Astrophysical Phenomena · Physics 2023-10-05 Ygal Y. Klein

This work presents a novel family of well-balanced numerical schemes for hyperbolic systems of balance laws based on the kinetic relaxation approach. The method begins by transforming the original non-linear system into a linearized kinetic…

Numerical Analysis · Mathematics 2026-05-26 León Ávila , Manuel Castro , Victor Michel-Dansac , José M. Gallardo

We have developed a relativistic, radiation-hydrodynamics Lagrangian code, specifically tailored to simulate the evolution of the main observables (light curve, evolution of photospheric velocity and temperature) in core-collapse supernova…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. L. Pumo , L. Zampieri

We present a new chemodynamical code - Ramses-CH - for use in simulating the self-consistent evolution of chemical and hydrodynamical properties of galaxies within a fully cosmological framework. We build upon the adaptive mesh refinement…

Astrophysics of Galaxies · Physics 2015-06-04 C. Gareth Few , Stephanie Courty , Brad K. Gibson , Daisuke Kawata , Francesco Calura , Romain Teyssier

The equations of general relativistic magnetohydrodynamics (GRMHD) have become the standard mathematical framework for modeling high-energy plasmas in curved spacetimes. However, the fragility of the primitive variable reconstruction…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Jonathan Gorard , James Juno , Ammar Hakim

The dynamics of self-gravitating fluid bodies is described by the Euler-Einstein system of partial differential equations. The break-down of well-posedness on the fluid-vacuum interface remains a challenging open problem, which is…

General Relativity and Quantum Cosmology · Physics 2020-07-17 John Ryan Westernacher-Schneider , Charalampos Markakis , Bing Jyun Tsao

Hyperbolic spaces have increasingly been recognized for their outstanding performance in handling data with inherent hierarchical structures compared to their Euclidean counterparts. However, learning in hyperbolic spaces poses significant…

Machine Learning · Computer Science 2024-05-28 Sheng Yang , Peihan Liu , Cengiz Pehlevan

The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili method is exploited to numerically compute bi-periodic…

Classical Physics · Physics 2020-02-20 Laurent Vuillon , Denys Dutykh , Francesco Fedele

Surface runoff shapes planetary landscapes, but global hydrological models often lack the resolution and flexibility to simulate dynamic surface water bodies beyond Earth. Recent studies of Mars have revealed abundant geological and…

Earth and Planetary Astrophysics · Physics 2026-03-05 Alexandre Gauvain , François Forget , Martin Turbet , Jean-Baptiste Clément , Lucas Lange , Romain Vandemeulebrouck

In this paper, we investigate the equilibrium statistical properties of both the force and potential interpolations of adaptive resolution simulation (AdResS) under the theoretical framework of grand-canonical like AdResS (GC-AdResS). The…

Chemical Physics · Physics 2015-10-28 Han Wang , Animesh Agarwal

To approximate solutions of complex nonlinear partial differential equations remains a computational challenge, especially for sets of equations relevant in industry, such as Euler or Navier-Stokes equations. Even the most sophisticated…

Quantum Physics · Physics 2026-03-25 Maximilian Mandelt Buxadé , Stefan Langer , Philipp Bekemeyer

We present a new general relativistic hydrodynamics code specifically designed to study magneto-rotational, relativistic, stellar core collapse. The code is an extension of an existing (and thoroughly tested) hydrodynamics code, which has…

Astrophysics · Physics 2008-11-26 P. Cerdá-Durán , J. A. Font

A modified HLLC-type contact preserving Riemann solver for incompressible two-phase flows using the artificial compressibility formulation is presented. Here, the density is omitted from the pressure evolution equation. Also, while…

Computational Physics · Physics 2022-07-14 Sourabh P. Bhat , J. C. Mandal

Modeling core-collapse supernovae (CCSNe) with neutrino transport in three dimensions (3D) requires tremendous computing resources and some level of approximation. We present a first comparison study of CCSNe in 3D with different physics…

We present the newly-incorporated gray radiation hydrodynamics capabilities of the FLASH code based on a radiation flux-limiter aware hydrodynamics numerical implementation designed specifically for applications in astrophysical problems.…

Solar and Stellar Astrophysics · Physics 2019-08-27 Emmanouil Chatzopoulos , Klaus Weide

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 compare a particular selection of approximate solutions of the Riemann problem in the context of ideal relativistic magnetohydrodynamics. In particular, we focus on Riemann solvers not requiring a full eigenvector structure. Such solvers…

High Energy Astrophysical Phenomena · Physics 2021-12-23 Giancarlo Mattia , Andrea Mignone

Efficient simulation of nonlinear and dispersive free-surface flows governed by the incompressible Navier-Stokes equations remains a central challenge in ocean and coastal engineering. The computational bottleneck arises from solving a…

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