A New Class of Nonlinear Finite-Volume Methods for Vlasov Simulation

被引:67
作者
Banks, Jeffrey William [1 ]
Hittinger, Jeffrey Alan Furst [1 ]
机构
[1] Lawrence Livermore Natl Lab, Ctr Appl Sci Comp, Livermore, CA 94551 USA
关键词
Finite-volume methods; plasma simulation; Vlasov equation; FLUX-CORRECTED TRANSPORT; PHASE-SPACE; EQUATION; SCHEME; INTEGRATION; SOLVERS; GAS; PPM;
D O I
10.1109/TPS.2010.2056937
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Methods for the numerical discretization of the Vlasov equation should efficiently use the phase-space discretization and should introduce only enough numerical dissipation to promote stability and control oscillations. A new high-order nonlinear finite-volume algorithm for the Vlasov equation that discretely conserves particle number and controls oscillations is presented. The method is fourth order in space and time in well-resolved regions but smoothly reduces to a third-order upwind scheme as features become poorly resolved. The new scheme is applied to several standard problems for the Vlasov-Poisson system, and the results are compared with those from other finite-volume approaches, including an artificial viscosity scheme and the piecewise parabolic method. It is shown that the new scheme is able to control oscillations while preserving a higher degree of fidelity of the solution than the other approaches.
引用
收藏
页码:2198 / 2207
页数:10
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