Code: Here is a sample FORTRAN code of the adaptive moving mesh method with the local Lax-Friedrichs flux for 1D Sod's shock tube problem of the Euler equations. Note that the results in the SINUM2003 paper are given by using the kinetic flux-vector splitting method.




  Citations at CNKi by "专业搜索" with some possible keywords "RF=adaptive*mesh and RF=conservation*laws and RF=Tang"

  1. Anderson A, Zheng XM, Cristini V, Adaptive unstructured volume remeshing - I: The method, JOURNAL OF COMPUTATIONAL PHYSICS, 208 (2): 616-625 SEP 20 2005 [PDF online version]   SCI

  2. Arvanitis C, Mesh redistribution strategies and finite element schemes for hyperbolic conservation laws JOURNAL OF SCIENTIFIC COMPUTING 34 (1): 1-25 JAN 2008   SCI

  3. Ch. Arvanitis and A. Delis "Behavior of Finite Difference Schemes of Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids", SIAM J. Sci. Computing, 28(5), 2006, 1927-1956. [PDF online version]   SCI

  4. B.N. Azarenok, A method of constructing adaptive hexahedral moving grids, J. Comput. Phys., 226(2007), 1102-1121. Ref[21].   SCI

2009-02-08