Control volume method for the dynamo problem in the sphere with the free rotating inner core

作     者：Hejda, P Reshetnyak, M 

作者机构：Acad Sci Czech Republ Inst Geophys CR-14131 Prague 4 Czech Republic Russian Acad Sci Inst Phys Earth Moscow 123995 Russia Moscow MV Lomonosov State Univ Ctr Res Comp Moscow 119899 Russia 

出 版 物：《STUDIA GEOPHYSICA ET GEODAETICA》 (地球物理学与大地测量学研究)

年 卷 期：2003年第47卷第1期

页      面：147-159页

核心收录：

学科分类：07[理学] 0708[理学-地球物理学] 

基　　金：INTAS foundation, (99-00348) Russian Foundation for Basic Research, РФФИ, (00-05-65258) Akademie Věd České Republiky, AV ČR, (A3012006) 

主　　题：hydromagnetic dynamo finite volumes SIMPLE algorithm up-wind scheme 

摘      要：A model of thermally driven dynamo in the Boussinesq approximation in the spherical shell with the free rotating inner core is considered. To solve equations we use a new in dynamo modeling control volume technique (for details of this method for hydrodynamics see Patankar, 1980). The main advantage of this method over previous attempts to solve magnetohydrodynamics equations in the spherical grids is that no filtering of high harmonics in the pole regions is needed. We present the results of simulations for the self-consistent dynamo system evolution over the diffusion time and longer periods. Different ways of stabilizations of magnetohydrodynamics equations, when convective terms are of the same order (or larger) as conductive ones, are considered.