A cell-centered Lagrangian method with the property of preservation of conservation and symmetry in two-dimensional cylindrical coordinates
Received:September 03, 2012  Revised:November 02, 2012
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DOI:10.7511/jslx201401008
KeyWord:cell-centered Lagrange method  spherical symmetry  two-dimensional cylindrical coordinates
              
AuthorInstitution
刘妍 北京应用物理与计算数学研究所, 北京
田保林 北京应用物理与计算数学研究所, 北京
申卫东 北京应用物理与计算数学研究所, 北京
王双虎 北京应用物理与计算数学研究所, 北京
江松 北京应用物理与计算数学研究所, 北京
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Abstract:
      We proposed a Godunov type cell-centered Lagrangian method for solving Euler equations of compressible gas dynamics in cylindrical coordinates.The method is discretized on the true volume and it can not only preserve the conservation property for all the conserved variables including mass,momentum and total energy but also preserve the one-dimensional spherical symmetry in two-dimensional cylindrical coordinates.The numerical results show the efficiency of the method.