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- Eliasson, Bengt,1965-Uppsala universitet,Avdelningen för teknisk databehandling,Numerisk analys,Waves and Fluids (author)
Numerical Vlasov–Maxwell Modelling of Space Plasma
- BookEnglish2002
Publisher, publication year, extent ...
- Uppsala :Acta Universitatis Upsaliensis,2002
- 28 s.
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:uu-2929
- ISBN:9155454275
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-2929URI
Supplementary language notes
- Language:English
- Summary in:English
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- SwePubSwePub
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Series
- Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology,1104-232X ;758
Notes
- The Vlasov equation describes the evolution of the distribution function of particles in phase space (x,v), where the particles interact with long-range forces, but where shortrange "collisional" forces are neglected. A space plasma consists of low-mass electrically charged particles, and therefore the most important long-range forces acting in the plasma are the Lorentz forces created by electromagnetic fields. What makes the numerical solution of the Vlasov equation a challenging task is that the fully three-dimensional problem leads to a partial differential equation in the six-dimensional phase space, plus time, making it hard even to store a discretised solution in a computer’s memory. Solutions to the Vlasov equation have also a tendency of becoming oscillatory in velocity space, due to free streaming terms (ballistic particles), in which steep gradients are created and problems of calculating the v (velocity) derivative of the function accurately increase with time. In the present thesis, the numerical treatment is limited to one- and two-dimensional systems, leading to solutions in two- and four-dimensional phase space, respectively, plus time. The numerical method developed is based on the technique of Fourier transforming the Vlasov equation in velocity space and then solving the resulting equation, in which the small-scale information in velocity space is removed through outgoing wave boundary conditions in the Fourier transformed velocity space. The Maxwell equations are rewritten in a form which conserves the divergences of the electric and magnetic fields, by means of the Lorentz potentials. The resulting equations are solved numerically by high order methods, reducing the need for numerical over-sampling of the problem. The algorithm has been implemented in Fortran 90, and the code for solving the one-dimensional Vlasov equation has been parallelised by the method of domain decomposition, and has been implemented using the Message Passing Interface (MPI) method. The code has been used to investigate linear and non-linear interaction between electromagnetic fields, plasma waves, and particles.
Subject headings and genre
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- Vlasov equation
- Maxwell equation
- Fourier method
- outflow boundary
- domain decomposition
- Numerical Analysis
- Numerisk analys
Added entries (persons, corporate bodies, meetings, titles ...)
- Gustafsson, Bertil,ProfessorUppsala universitet,Avdelningen för teknisk databehandling(Swepub:uu)bertgust (thesis advisor)
- Thidé, Bo,ProfessorUppsala universitet,Institutionen för astronomi och rymdfysik(Swepub:uu)bothide (thesis advisor)
- Bondeson, Anders,ProfessorChalmers University of Technology, Department of Electromagnetics (opponent)
- Uppsala universitetAvdelningen för teknisk databehandling (creator_code:org_t)
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