APPLICATION OF DYNAMIC ADAPTIVE GRIDS TO NUMERICAL CALCULATION OF SHALLOW WATER THEORY PROBLEMS

V.B. Barakhnin, G.S. Khakimzyanov
VANT. Ser.: Mat. Mod. Fiz. Proc 1994. Вып.4. С. 39-44.

      The advantage of moving adaptive grids constructed by equidistrilnition method over stationary grids is shown for numerical solution of shallow water equations. Difference schemes on adaptive grids are presented for calculation of fluid flows with surface waves within nonlinear and non-linearly-dispersive shallow water models. Calculation results of test problems on wave run-up on the walls of reservoirs and water tanks are discussed.