CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2010, Vol. 27 ›› Issue (5): 641-648.

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A Integrated Gradient Scheme for Preservation of Symmetry

YONG Heng1, LIAN Zhiqiang2, ZENG Qinghong1, YUAN Guoxing1, WANG Zheng1   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    2. Weihai Vocational College, Weihai 264200, China
  • Received:2009-07-14 Revised:2009-10-28 Online:2010-09-25 Published:2010-09-25

Abstract: An integrated gradient total symmetry-preserving(IGTSP) scheme for momentum equations of Lagrangian hydrodynamics in cylindrical coordinates is presented.The scheme inherits advantages of both IGT and IGA schemes,that is,the scheme not only overcomes nonsymmetry of the IGT scheme but also has a momentum conservation error of order O(h),one order higher than that of IGA scheme.A number of numerical examples are tested to demonstrate advantages of IGTSP scheme.

Key words: spherical symmetry, momentum conservation, integrated gradients method, cylindrical coordinate system

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