A forward semi-Lagrangian method for the numerical solution of the Vlasov equation

被引：85

作者：

Crouseilles, Nicolas ^{[1
]}

Respaud, Thomas ^{[1
,2
]}

Sonnendruecker, Eric ^{[1
,2
]}

机构：

[1] INRIA Nancy Grand Est, CALVI Project, Strasbourg, France

[2] IRMA Strasbourg, Strasbourg, France

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2009年 / 180卷 / 10期

关键词：

Semi-Lagrangian method; Runge-Kutta; Plasma simulation; Eulerian solvers for Vlasov; CHARGE CONSERVATION; INTEGRATION; SCHEMES; SIMULATION; BEHAVIOR; CODE;

D O I：

10.1016/j.cpc.2009.04.024

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This work deals with the numerical solution of the Vlasov equation, which provides a kinetic description of the evolution of a plasma, and is coupled with Poisson's equation. A new forward semi-Lagrangian method is developed. The distribution function is updated on a Eulerian grid, and the pseudo-particles located on the mesh nodes follow the characteristics of the equation forward for one time step, and are deposited on the 16 nearest nodes. This is an explicit way of solving the Vlasov equation on a grid of the phase space, which makes it easier to develop high-order time schemes than the backward method. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1730 / 1745

页数：16

共 34 条

[1] Charge conservation in PIC codes. [J].

Barthelmé, R .

COMPTES RENDUS MATHEMATIQUE, 2005, 341 (11) :689-694

[2]

BATISHCHEV OV, 2003, P 18 C NUM SIM PLASM

[3] EXACT NONLINEAR PLASMA OSCILLATIONS [J].

BERNSTEIN, IB ;

GREENE, JM ;

KRUSKAL, MD .

PHYSICAL REVIEW, 1957, 108 (03) :546-550

[4] Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov-Poisson system [J].

Besse, Nicolas ;

Mehrenberger, Michel .

MATHEMATICS OF COMPUTATION, 2008, 77 (261) :93-123

[5]

BRIDSALL CK, 1991, PLASMA PHYS VIA COMP

[6] NONLINEAR ELECTROSTATIC-WAVES IN COLLISIONLESS PLASMAS [J].

BUCHANAN, M ;

DORNING, J .

PHYSICAL REVIEW E, 1995, 52 (03) :3015-3033

[7] Nonoscillatory interpolation methods applied to Vlasov-based models [J].

Carrillo, J. A. ;

Vecil, F. .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 29 (03) :1179-1206

[8] INTEGRATION OF VLASOV EQUATION IN CONFIGURATION SPACE [J].

CHENG, CZ ;

KNORR, G .

JOURNAL OF COMPUTATIONAL PHYSICS, 1976, 22 (03) :330-351

[9]

Cotter CJ, 2007, Q J ROY METEOR SOC, V133, P251, DOI [10.1002/qj.11, 10.1002/qj]

[10] NUMERICAL SIMULATION OF PLASMAS WITH PERIODIC SMOOTHING IN PHASE SPACE [J].

DENAVIT, J .

JOURNAL OF COMPUTATIONAL PHYSICS, 1972, 9 (01) :75-&

← 1 2 3 4 →