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In this work, we introduce DeepFlame, an open-source C++ platform with the capabilities of utilising machine learning algorithms and pre-trained models to solve for reactive flows. We combine the individual strengths of the computational…

Fluid Dynamics · Physics 2023-07-17 Runze Mao , Minqi Lin , Yan Zhang , Tianhan Zhang , Zhi-Qin John Xu , Zhi X. Chen

An effective computer program for three dimensional relativistic hydrodynamical model has been developed. It implements a new approach to the early hot phase of relativistic heavy-ion collisions. The computer program simulates time-space…

Nuclear Theory · Physics 2009-11-11 Daniel Kikola , Wiktor Peryt , Yuri M. Sinyukov , Marcin Slodkowski , Marek Szuba

The 2D Euler equations are a simple but rich set of non-linear PDEs that describe the evolution of an ideal inviscid fluid, for which one dimension is negligible. Solving numerically these equations can be extremely demanding. Several…

Numerical Analysis · Mathematics 2023-01-18 Paolo Cifani , Sagy Ephrati , Milo Viviani

The need for improved engine efficiencies has motivated the development of high-pressure combustion systems, in which operating conditions achieve and exceed critical conditions. Associated with these conditions are large thermodynamic…

Fluid Dynamics · Physics 2017-05-23 Peter C. Ma , Matthias Ihme , Luis Bravo

We present a \emph{Mathematica} notebook allowing for the symbolic calculation of the $3\times3$ dielectric tensor of a electron-beam plasma system in the fluid approximation. Calculation is detailed for a cold relativistic electron beam…

Plasma Physics · Physics 2007-05-23 A. Bret

We apply an ad hoc model for dynamical ignition in three-dimensional numerical simulations of thermonuclear supernovae assuming pure deflagrations. The model makes use of the statistical description of temperature fluctuations in the…

Astrophysics · Physics 2009-11-11 W. Schmidt , J. C. Niemeyer

This paper is concerned with the large-time behavior of solutions to the Cauchy problem on the two-fluid Euler-Maxwell system with collisions when initial data are around a constant equilibrium state. The main goal is the rigorous…

Analysis of PDEs · Mathematics 2014-12-02 Renjun Duan , Qingqing Liu , Changjiang Zhu

We present simulations of ignition and burn based on the Highfoot and High-Density Carbon indirect drive designs of the National Ignition Facility for three regimes of alpha-heating - self-heating, robust ignition and propagating burn -…

Plasma Physics · Physics 2019-05-30 J. K. Tong , K. McGlinchey , B. D. Appelbe , C. A. Walsh , A. J. Crilly , J. P. Chittenden

A Dense Plasma Focus (DPF) is a pulsed-power machine that electromagnetically accelerates and cylindrically compresses a shocked plasma in a Z-pinch. The pinch results in a brief (about 100 nanosecond) pulse of X-rays, and, for some working…

Plasma Physics · Physics 2014-02-21 B. T. Meehan , J. H. J. Niederhaus

Astrophysical plasmas are subject to a tight connection between magnetic fields and the diffusion of particles, which leads to an anisotropic transport of energy. Under the fluid assumption, this effect can be reduced to an…

Astrophysics of Galaxies · Physics 2016-01-13 Yohan Dubois , Benoît Commerçon

High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

Plasma Physics · Physics 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

We introduce the RHDLPP, a flux-limited multigroup radiation hydrodynamics numerical code designed for simulating laser-produced plasmas in diverse environments. The code bifurcates into two packages: RHDLPP-LTP for low-temperature plasmas…

Combustion stabilization and enhancement of the flammability limits are mandatory objectives to improve nowadays combustion chambers. At this purpose, the use of an electric field in the flame region provides a solution which is, at the…

Fluid Dynamics · Physics 2017-12-13 M. Di Renzo , P. De Palma , M. D. de Tullio , G. Pascazio

We report the results of a computational investigation of two blow-up criteria for the 3D incompressible Euler equations. One criterion was proven in a previous work, and a related criterion is proved here. These criteria are based on an…

Analysis of PDEs · Mathematics 2017-04-13 Adam Larios , Mark Petersen , Edriss S. Titi , Beth Wingate

The use of limiting methods for high-order numerical approximations of hyperbolic conservation laws generally requires defining an admissible region/bounds for the solution. In this work, we present a novel approach for computing solution…

Numerical Analysis · Mathematics 2025-02-26 Tarik Dzanic , Luigi Martinelli

A new open source tool for fluid simulation of multi-component plasmas is presented, based on a flexible software design that is applicable to scientific simulations in a wide range of fields. This design enables the same code to be…

Plasma Physics · Physics 2023-06-21 Ben Dudson , Mike Kryjak , Hasan Muhammed , Peter Hill , John Omotani

We establish a result concerning the so-called Lagrangian controllability of the Euler equation for incompressible perfect fluids in dimension 3. More precisely we consider a connected bounded domain of R^3 and two smooth contractible sets…

Analysis of PDEs · Mathematics 2011-08-26 Olivier Glass , Thierry Horsin

This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of…

Numerical Analysis · Mathematics 2025-10-20 Kehinde O. Ladipo , Roland Glowinski , Tsorng-Whay Pan

We perform a unique direct numerical simulation of Euler turbulence using delta-correlated velocity field as an initial condition, and report a full range of $k^2$ and $k$ energy spectra for 3D and 2D flows respectively, zero energy flux,…

Fluid Dynamics · Physics 2020-04-21 Mahendra K. Verma , Shashwat Bhattacharya , Soumyadeep Chatterjee

A full-F, isothermal, electromagnetic, gyro-fluid model is used to simulate plasma turbulence in a COMPASS-sized, diverted tokamak. A parameter scan covering three orders of magnitude of plasma resistivity and two values for the ion to…

Plasma Physics · Physics 2023-09-20 M. Wiesenberger , M. Held