BROWSE

Related Researcher

Author's Photo

UNIST, Researcher
UNIST
Research Interests
  • All Subjects

ITEM VIEW & DOWNLOAD

An iteration free backward semi-Lagrangian scheme for guiding center problems

Cited 0 times inthomson ciCited 0 times inthomson ci
Title
An iteration free backward semi-Lagrangian scheme for guiding center problems
Author
Piao, XiangfanKim, SangdongKim, PhilsuKwon, Jae-MinYi, Dokkyun
Issue Date
2015-02
Publisher
SIAM PUBLICATIONS
Citation
SIAM JOURNAL ON NUMERICAL ANALYSIS, v.53, no.1, pp.619 - 643
Abstract
In this paper, we develop an iteration free backward semi-Lagrangian method for nonlinear guiding center models. We apply the fourth-order central difference scheme for the Poisson equation and employ the local cubic interpolation for the spatial discretization. A key problem in the time discretization is to find the characteristic curve arriving at each grid point which is the solution of a system of highly nonlinear ODEs with a self-consistency imposed by the Poisson equation. The proposed method is based on the error correction method recently developed by the authors. For the error correction method, we introduce a modified Euler's polygon and solve the induced asymptotically linear differential equation with the midpoint quadrature rule to get the error correction term. We prove that the proposed iteration free method has convergence order at least 3 in space and 2 in time in the sense of the L2-norm. In particular, it is shown that the proposed method has a good performance in computational cost together with better conservation properties in mass, the total kinetic energy, and the enstrophy compared to the conventional second-order methods. Numerical test results are presented to support the theoretical analysis and discuss the properties of the newly proposed scheme.
URI
https://scholarworks.unist.ac.kr/handle/201301/11106
URL
http://epubs.siam.org/doi/10.1137/130942218
DOI
10.1137/130942218
ISSN
0036-1429
Appears in Collections:
ETC_Journal Papers
Files in This Item:
There are no files associated with this item.

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show full item record

qrcode

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU