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A new modular code called BOUT++ is presented, which simulates 3D fluid equations in curvilinear coordinates. Although aimed at simulating Edge Localised Modes (ELMs) in tokamak X-point geometry, the code is able to simulate a wide range of…

Plasma Physics · Physics 2010-08-27 B. D. Dudson , M. V. Umansky , X. Q. Xu , P. B. Snyder , H. R. Wilson

Plasma turbulence is ubiquitous in space and astrophysical plasmas, playing an important role in plasma energization, but the physical mechanisms leading to dissipation of the turbulent energy remain to be definitively identified. Kinetic…

Solar and Stellar Astrophysics · Physics 2016-12-06 Tak Chu Li , Gregory G. Howes , Kristopher G. Klein , Jason M. TenBarge

This article presents numerical simulations of an iron dust Bunsen flame. The results are validated against experimental results. The burning velocity is extracted from the 3D simulation results, as in the experiments. The agreement of the…

Escape of $\alpha$-particles from a burning or an ignited burning deuterium-tritium (DT) fuel with temperature up to more than tens keV is very important in inertial confinement fusion, which can significantly influence not only the hot…

Plasma Physics · Physics 2020-01-08 Kai Li , Ke Lan

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the…

Computational Engineering, Finance, and Science · Computer Science 2018-01-22 Petr N. Vabishchevich

A dedicated experiment FEDORA (Fusion Experiment for Divertor Optimization Research Applications) has been constructed to visualize flow boiling at scaled fusion divertor conditions. Its main purpose is to obtain the information on local…

Classical Physics · Physics 2025-09-23 Aljoša Gajšek , Gregor Kozmus , Matej Tekavčič , Marianne Richou , Boštjan Končar

The 3D incompressible Euler equations in a bounded domain are most often supplemented with impermeable boundary conditions, which constrain the fluid to neither enter nor leave the domain. We establish well-posedness with inflow, outflow of…

Analysis of PDEs · Mathematics 2024-12-19 Gung-Min Gie , James P. Kelliher , Anna L. Mazzucato

Significant progress has been made towards laser-driven fusion ignition via different schemes, including direct and indirect central ignition, fast ignition, shock ignition, and impact ignition schemes. However, to reach ignition…

Plasma Physics · Physics 2016-06-09 W. -M. Wang , P. Gibbon , Z. -M. Sheng , Y. T. Li , J. Zhang

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system of nonlinearly…

Numerical Analysis · Mathematics 2013-07-12 A. Mauri , R. Sacco , M. Verri

2D and 3D numerical simulations with the adaptive mesh refinement Eulerian radiation-hydrocode RAGE at unprecedented spatial resolution are used to investigate the connection between drive asymmetry and the generation of turbulence in the…

Plasma Physics · Physics 2012-10-15 V. A. Thomas , R. J. Kares

We develop structure-preserving numerical methods for the compressible Euler equations, employing potential temperature as a prognostic variable. We construct three numerical fluxes designed to ensure the conservation of entropy and total…

Numerical Analysis · Mathematics 2025-09-23 Marco Artiano , Oswald Knoth , Peter Spichtinger , Hendrik Ranocha

A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas-particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations for a…

Geophysics · Physics 2016-02-19 Matteo Cerminara , Tomaso Esposti Ongaro , Luigi Carlo Berselli

The use of machine learning algorithms to predict behaviors of complex systems is booming. However, the key to an effective use of machine learning tools in multi-physics problems, including combustion, is to couple them to physical and…

In this work we present, for the first time, a computational fluid dynamics tool for the simulation of the metered discharge in a pressurized metered dose inhaler. The model, based on open-source software, adopts the Volume-Of-Fluid method…

Fluid Dynamics · Physics 2025-08-08 Riccardo Rossi , Ciro Cottini , Andrea Benassi

In this work we systematically derive the governing equations of supersonic conical flow by projecting the 3D Euler equations onto the unit sphere. These equations result from taking the assumption of conical invariance on the 3D flow…

Analysis of PDEs · Mathematics 2019-10-22 Ian Holloway , Sivaguru S. Sritharan

The confinement of heat in the core of a magnetic fusion reactor is optimised using a multidimensional optimisation algorithm. For the first time in such a study, the loss of heat due to turbulence is modelled at every stage using…

Plasma Physics · Physics 2018-10-24 E. G. Highcock , N. R. Mandell , M. Barnes , W. Dorland

We report on the development of a computational framework for the parallel, mesh-adaptive solution of systems of hyperbolic conservation laws like the time-dependent Euler equations in compressible gas dynamics or Magneto-Hydrodynamics…

Computational Physics · Physics 2007-05-23 J. Dreher , R. Grauer

There are many interesting physical processes which involve the generation of high density plasmas in large volumes. However, when modeling these systems numerically, the large densities and volumes present a significant computational…

Computational Physics · Physics 2007-05-23 A. E. Schulz , A. D. Greenwood , K. L. Cartwright , P. J. Mardahl

We address here the discretization of the momentum convection operator for fluid flow simulations on 2D triangular and quadrangular meshes and 3D polyhedral meshes containing hexahedra, tetrahedra, prisms and pyramids. The finite volume…

Numerical Analysis · Mathematics 2022-09-15 Aubin Brunel , Raphaèle Herbin , Jean-Claude Latché

In this dissertation, a fully object-oriented, fully relativistic, multi-dimensional Particle-In-Cell code was developed and applied to answer key questions in plasma-based accelerator research. The simulations increase the understanding of…

Computational Physics · Physics 2015-03-03 Roy G. Hemker