中文核心期刊
CNKI期刊全文数据库
中国科学引文数据库(CSCD)源期刊
中国科技论文统计源期刊
万方数据知识服务平台
英国《科学文摘》(SA)
美国化学文摘(CA)
俄罗斯《文摘杂志》(AJ)
德国《天文学与天体物理学文摘》(AAA)
英国《中国天文学和天体物理学》(SCI收录)全文摘译期刊之一
《中国学术期刊文摘》
《中国物理文摘》
《中国天文学文摘》

• 日球层物理和太阳系探测 • Previous Articles     Next Articles

Modified Two Dimensional Third-order Semi-discrete Central-upwind Scheme

HOU Tianxiang1, JI Zhen2,3   

  1. 1. China Meteorological Administration Training Centre, Beijing 100081;
    2. State Key Laboratory of Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190;
    3. Graduate University of Chinese Academy of Sciences, Beijing 100049
  • Received:2011-01-12 Revised:2011-11-17 Online:2012-03-15 Published:2012-03-15

Abstract: The semi-discrete central-upwind scheme is a new Godunov type numerical method which is developed in 1990s. The scheme is widely used in the computational fluid dynamics and its advantages include the simple calculation process, the high calculation precision and so on. But for the third-order scheme, the positivity of the weight function and the non-oscillation of the WENO type reconstruction function in every direction cannot be preserved in two dimensional problems. In this article, a simple, direct modification is taken to the weight function of the two dimensional third-order semi-discrete central-upwind scheme. The modified weight function will keep the positivity all the time while the accuracy of the semi-discrete central-upwind method is preserved. The revised scheme still has the advantages of central-upwind schemes and it keeps the non-oscillation of reconstruction. To explore the potential capability of application of this reformation of weight function, two Magnetohydrodynamics (MHD) problems are simulated. In simulations, the third order Runge-Kutta method is used to solve the time evolution and the divergence of magnetic field was calculated by fourth-order Lax-Wendroff (L-W) scheme. All the numerical results demonstrate the modified scheme can solve the MHD equations stably, get high resolution and non-oscillatory results, keep the positivity of the weight function and the reconstruction is non-oscillatory in each direction.

CLC Number: