Home / Advanced Search

  • Title/Keywords

  • Author/Affliations

  • Journal

  • Article Type

  • Start Year

  • End Year

Update SearchingClear
  • Articles
  • Online
Search Results (1)
  • Open Access

    ARTICLE

    A Group Preserving Scheme for Burgers Equation with Very Large Reynolds Number

    Chein-Shan Liu1

    CMES-Computer Modeling in Engineering & Sciences, Vol.12, No.3, pp. 197-212, 2006, DOI:10.3970/cmes.2006.012.197

    Abstract In this paper we numerically solve the Burgers equation by semi-discretizing it at the n interior spatial grid points into a set of ordinary differential equations: u· = f(u,t), u ∈ Rn. Then, we take the dissipative behavior of Burgers equation into account by considering the magnitude ||u|| as another component; hence, an augmented quasilinear differential equations system X˙ = AX with X := (uT,||u||)T ∈ Mn+1 is derived. According to a Lie algebra property of A∈so(n,1) we thus develop a new numerical scheme with the transformation matrix G∈SOo(n,1) being an element of the proper orthochronous Lorentz group. More >

Displaying 1-10 on page 1 of 1. Per Page