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Parallelization of a Vlasov-Maxwell solver in four-dimensional phase space
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Astronomy and Space Physics.
2009 (English)In: Parallel Computing, ISSN 0167-8191, Vol. 35, no 2, 109-115 p.Article in journal (Refereed) Published
Abstract [en]

We present a parallelized algorithm for solving the time-dependent Vlasov–Maxwell system of equations in the four-dimensional phase space (two spatial and velocity dimensions). One Vlasov equation is solved for each particle species, from which charge and current densities are calculated for the Maxwell equations. The parallelization is divided into two different layers. For the first layer, each plasma species is given its own processor group. On the second layer, the distribution function is domain decomposed on its dedicated resources. By separating the communication and calculation steps, we have met the design criteria of good speedup and simplicity in the implementation.

Place, publisher, year, edition, pages
2009. Vol. 35, no 2, 109-115 p.
Keyword [en]
Vlasov–Maxwell system, Spectral method, Transpose method
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-97956DOI: 10.1016/j.parco.2008.11.002ISI: 000263659600004OAI: oai:DiVA.org:uu-97956DiVA: diva2:173086
Available from: 2009-01-01 Created: 2009-01-01 Last updated: 2010-08-25Bibliographically approved
In thesis
1. Numerical Simulation as a Tool for Studying Waves and Radiation in Space
Open this publication in new window or tab >>Numerical Simulation as a Tool for Studying Waves and Radiation in Space
2008 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Plasma physics governs the area of interactions between charged particles. As 99% of the visible universe is in a plasma state, it is an important topic in astronomy and space physics, where we already at an altitude of 60 km reach the plasma environment surrounding our planet in the form of the ionosphere. The search for fusion, the source of power for the sun, as well as industrial use have been the main topics for earth bound plasma reasurch.

A plasma is composed of charged particles which interact by the electromagnetic force. In the kinetic description, via the Vlasov-Maxwell equations, the system is described in terms of probability distribution functions for each particle species, expressed in terms of particles position and velocity. The particles interact via self-consistent fields as determined by Maxwell's equations. For understanding the complex behaviour of the system, we need numerical solvers. These come in two flavours, Lagrangian methods, dealing with the moving around of synthetic particles, and Eulerian methods, which solve the set of partial differential, Vlasov and Maxwell equations. To perform the computations within reasonable time, we need to distribute our calculations on multiple machines, i.e. parallel programming, with the best possible matching between our computational needs and the need of splitting algorithms to adapt to our processing environment.

Paper I studies electron and ion beams within a Lagrangian and fluid model and compare the results with experimental observations. This is continued with studies of a full kinetic system, using an Eulerian solver, for a closer look at electron-ion interactions in relation to ionospheric observations, (Papers II and IV). To improve the performance of the Eulerian solver it was parallelised (Paper III). The thesis is ending with the possibility to observe ultrahigh energy neutrinos from an orbiting satellite by using the Moon's surface as a detector Paper V.

Place, publisher, year, edition, pages
Uppsala: Universitetsbiblioteket, 2008. 42 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 488
space physics, plasma physics, kinetic plasma, plasma simulations, beam instabilities
National Category
Fusion, Plasma and Space Physics
urn:nbn:se:uu:diva-9517 (URN)978-91-554-7384-6 (ISBN)
Public defence
2009-01-30, Siegbhansalen, Ångström Laboratoriet, Lägerhyddsvägen 1, Uppsala, 13:15 (English)
Available from: 2009-01-01 Created: 2009-01-01 Last updated: 2010-03-09Bibliographically approved

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