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We present an implicit relaxation scheme for the simulation of compressible flows in all Mach number regimes based on a Jin Xin relaxation approach. The main features of the proposed scheme lie in its simplicity and effectiveness. Thanks to…

Fluid Dynamics · Physics 2023-06-12 Andrea Thomann , Angelo Iollo , Gabriella Puppo

This paper aims at developing exactly energy-conservative and structure-preserving finite volume schemes for the discretisation of first-order symmetric-hyperbolic and thermodynamically compatible (SHTC) systems of partial differential…

Numerical Analysis · Mathematics 2026-01-01 Alessia Lucca , Michael Dumbser

In this work, we propose multicontinuum splitting schemes for the wave equation with a high-contrast coefficient, extending our previous research on multiscale flow problems. The proposed approach consists of two main parts: decomposing the…

Numerical Analysis · Mathematics 2025-06-03 Mohsen Alshahrani , Buzheng Shan

This paper deals with the design of slow-time coded waveforms which jointly optimize the detection probability and the measurements accuracy for track maintenance in the presence of colored Gaussian interference. The output…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Tao Fan , Augusto Aubry , Vincenzo Carotenuto , Antonio De Maio , Xianxiang Yu , Guolong Cui

Experience with core-collapse supernova simulations shows that accurate accounting of total particle number and 4-momentum can be a challenge for computational radiative transfer. This accurate accounting would be facilitated by the use of…

Astrophysics · Physics 2009-11-07 Christian Y. Cardall , Anthony Mezzacappa

In this paper we present a novel pressure-based semi-implicit finite volume solver for the equations of compressible ideal, viscous and resistive magnetohydrodynamics (MHD). The new method is conservative for mass, momentum and total energy…

Numerical Analysis · Mathematics 2018-12-26 Michael Dumbser , Dinshaw S. Balsara , Maurizio Tavelli , Francesco Fambri

We report on the development of Mezcal-SRHD, a new adaptive mesh refinement, special relativistic hydrodynamics (SRHD) code, developed with the aim of studying the highly relativistic flows in Gamma-Ray Burst sources. The SRHD equations are…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Fabio De Colle , Jonathan Granot , Diego Lopez-Camara , Enrico Ramirez-Ruiz

We propose a fully discretised numerical scheme for the hyperelastic rod wave equation on the line. The convergence of the method is established. Moreover, the scheme can handle the blow-up of the derivative which naturally occurs for this…

Numerical Analysis · Mathematics 2011-09-12 David Cohen , Xavier Raynaud

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

A numerical scheme based on modified method of characteristics with adjusted advection (MMOCAA) is proposed to approximate the solution of the system liquid chromatography with multi components case. For the case of one component, the…

Numerical Analysis · Mathematics 2020-09-30 Farid Bozorgnia , Sonia Seyed Allaei

We present preliminar results and tests of a new general relativistic code to simulate the hydrodynamic collapse of a 21 solar masses star. We have assumed spherical symmetry and used the formalism of Misner and Sharp to construct a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Cristian R. Ghezzi , Patricio S. Letelier

We present a new numerical code, PLUTO, for the solution of hypersonic flows in 1, 2 and 3 spatial dimensions and different systems of coordinates. The code provides a multi-physics, multi-algorithm modular environment particularly oriented…

Astrophysics · Physics 2009-11-13 A. Mignone , G. Bodo , S. Massaglia , T. Matsakos , O. Tesileanu , C. Zanni , A. Ferrari

We present a numerical implementation of radiative transfer based on an explicitly photon-conserving advection scheme, where radiative fluxes over the cell interfaces of a structured or unstructured mesh are calculated with a second-order…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Margarita Petkova , Volker Springel

We present a new general relativistic (GR) code for hydrodynamic supernova simulations with neutrino transport in spherical and azimuthal symmetry (1D/2D). The code is a combination of the CoCoNuT hydro module, which is a Riemann-solver…

Solar and Stellar Astrophysics · Physics 2015-05-18 B. Mueller , H. -Th. Janka , H. Dimmelmeier

Cosmological simulations involving the fully covariant gravitational dynamics may prove relevant in understanding relativistic/non-linear features and, therefore, in taking better advantage of the upcoming large scale structure survey data.…

General Relativity and Quantum Cosmology · Physics 2017-11-15 David Daverio , Yves Dirian , Ermis Mitsou

Recently, with the advances in computational speed and availability there has been a growth in the number and resolution of fully 3-D hydrodynamical simulations. However, all of these simulations are purely hydrodynamical and there has been…

Astrophysics · Physics 2009-11-10 E. Baron , Peter H. Hauschildt

A computational model study for complete frequency redistribution linear incoherent two-level atomic radiation trapping in optically dense media using the multiple scattering representation is presented. This model study discuss at length…

Physics Education · Physics 2009-11-13 A. R. Alves-Pereira , E. J. Nunes-Pereira , J. M. G. Martinho , M. N. Berberan-Santos

We introduce a new family of high order accurate semi-implicit schemes for the solution of non-linear hyperbolic partial differential equations on unstructured polygonal meshes. The time discretization is based on a splitting between…

Numerical Analysis · Mathematics 2023-09-11 Walter Boscheri , Andrea Chiozzi , Michele Giuliano Carlino , Giulia Bertaglia

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the present article, the formulation is extended to handle reflective…

Numerical Analysis · Mathematics 2023-06-12 Olivier Pironneau , Pierre-Henri Tournier

A scheme to reduce translational noninvariant quasi-one-dimensional wave guides into singly or multiply connected one-dimensional (1D) lines is proposed. It is meant to simplify the analysis of wave guides, with the low-energy properties of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Khee-Kyun Voo