PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. A Godunov-type scheme for 1-D shallow-water flow with uneven bottom[J]. Advances in Water Science, 2003, 14(4): 430-436.
Citation: PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. A Godunov-type scheme for 1-D shallow-water flow with uneven bottom[J]. Advances in Water Science, 2003, 14(4): 430-436.

A Godunov-type scheme for 1-D shallow-water flow with uneven bottom

  • Based on exact the Riemann solution,this paper presents a Godunov-type scheme for 1-D shallow-water equations with uneven bottom.Central difference and the Riemann solution with "water level formulation" are used in the discretisation of the source term to keep the scheme well-balanced.Numerical experiments are presented to demonstrate that the scheme is robust,versatile and high in resolution.
  • loading

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return