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Numerical methods for plasma physics in collisional regimes

Part of:Collisions in Collisionless Plasmas

Published online by Cambridge University Press:  10 October 2014

G. Dimarco,
Q. Li,
L. Pareschi and
B. Yan
G. Dimarco*
Affiliation:
Department of Mathematics and Computer Science, University of Ferrara, via Machiavelli 35, 44121, Italy
Q. Li
Affiliation:
Department of Computing and Mathematical Sciences (CMS), The Annenberg Center, California Institute of Technology, 1200 E. California Blvd., Pasadena, CA 91125, USA
L. Pareschi
Affiliation:
Department of Mathematics and Computer Science, University of Ferrara, via Machiavelli 35, 44121, Italy
B. Yan
Affiliation:
Department of Mathematics, University of California and Los Angeles, Math Sciences Building 520 Portola Plaza Los Angeles, CA 90095, USA
*
†Email address for correspondence: giacomo.dimarco@unife.it
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Abstract

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We consider the development of accurate and efficient numerical methods for the solution of the Vlasov–Landau equation describing a collisional plasma. The methods combine a Lagrangian approach for the Vlasov solver with a fast spectral method for the solution of the Landau operator. To this goal, new modified spectral methods for the Landau integral which are capable to capture correctly the Maxwellian steady state are introduced. A particular care is devoted to the construction of Implicit–Explicit and Exponential Runge–Kutta methods that permit to achieve high-order and efficient time integration of the collisional step. Several numerical tests are reported which show the high accuracy of the numerical schemes here presented.

Information

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 1 , January 2015, 305810106
Copyright
Copyright © Cambridge University Press 2014 

References

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