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Simple collision operators for direct Vlasov solvers
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Fletcher, Daniel (Researcher in physics) (2014) Simple collision operators for direct Vlasov solvers. PhD thesis, University of Warwick.
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WRAP_THESIS_Fletcher_2014.pdf - Submitted Version - Requires a PDF viewer. Download (3532Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b2745575~S1
Abstract
Existing codes for directly solving for the particle distribution function in laser plasma interaction studies either assume a collisionless plasma or solve for the full Fokker-Planck collision term. The former approach is the basis of an existing code at Warwick (VALIS). The latter approach is computationally expensive and often relies on a spherical harmonic expansion of the distribution function, making the implementation of a laser driver difficult. Here the existing collisionless code is extended by including reduced collision operators based on both the Krook and Fokker-Planck operator. The formulation of a fully conservative velocity-dependent Krook operator that shows agreement classical transport co-efficients in the regimes they are valid. The accuracy of the operator is shown to be improved using a normalisation method to ensure the Krook model yields the same heat flux as the Fokker-Planck model. The Krook model is also shown to be in agreement with full Vlasov-Fokker-Planck simulations of non-local transport. Two forms of a model Fokker-Planck operator are also included as a comparison to other reduced models of collisions.
Item Type: | Thesis or Dissertation (PhD) | ||||
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Subjects: | Q Science > QC Physics | ||||
Library of Congress Subject Headings (LCSH): | Laser-plasma interactions | ||||
Official Date: | March 2014 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Department of Physics | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Arber, T. D. | ||||
Extent: | vi, 111 leaves : illustrations, charts | ||||
Language: | eng |
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