風上差分法および中心差分法を用いた波動現象の数値シミュレーション

抄録

Numerical simulations of linear and nonlinear wave phenomena are described in this paper. Both third-order upwind-difference and second-order central-difference methods are used to approximate the convection terms. Interaction of the wave properties in these numerical schemes is discussed to develop the appropriate discretization of the convection terms in the case of nonlinear wave problems. The results show that the controls of the numerical viscosity in the third-order upwind-difference are effective to solve the Navier-Stokes equations for nonlinear wave phenomena.