An improved CESE method and its application to steady-state coronal structure simulation

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• 作者：YuFen Zhou (1)
  XueShang Feng (1)
  
• 关键词：improved CESE scheme ; numerical dissipation ; steady ; state coronal structure
• 刊名：Science China Earth Sciences
• 出版年：2014
• 出版时间：January 2014
• 年：2014
• 卷：57
• 期：1
• 页码：153-166
• 全文大小：1,461 KB
• 作者单位：YuFen Zhou (1)
  XueShang Feng (1)
  
  1. SIGMA Weather Group, State Key Laboratory for Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing, 100190, China
  
• ISSN：1869-1897

文摘

This paper presents an improved space-time conservation element and solution element (CESE) method by applying a non-staggered space-time mesh system and simply improving the calculation of flow variables and applies it to magnetohydrodynamics (MHD) equations. The improved CESE method can improve the solution quality even with a large disparity in the Courant number (CFL) when using a fixed global marching time. Moreover, for a small CFL (say < 0.1), the method can significantly reduce the numerical dissipation and retain the solution quality, which are verified by two benchmark problems. And meanwhile, comparison with the original CESE scheme shows better resolution of the improved scheme results. Finally, we demonstrate its validation through the application of this method in three-dimensional coronal dynamical structure with dipole magnetic fields and measured solar surface magnetic fields as the initial input.