Numerical Simulation of Flow Controlled by MHD Effect : 2-D Laminar Flow

抄録

This paper presents a numerical calculation scheme of a flow affected by electromagnetic force and some examples of simulations of flows controlled by MHD (magnetohydrodynamic) effect. An Implicit Factored Scheme, which is a finite difference scheme to solve the Navier-Stokes equations, is used to simulate the flow. In this paper, the problems are limited to the 2-D laminar flow. First, in order to check the scheme and the computer program, the Hartmann flow, which has analytical solution, is simulated. The numerical result agreed well with its exact solution. Then, as the application of flow control using MHD effect, an internal duct flow and an external flow past an elliptic cylinder are simulated. The possibility to control a flow by the MHD effect is thus shown.