Applications of the Monte Carlo method to potential flow

The Monte Carlo method is applied to simulate the flow with complex boundaries. In order to improve the simulation precision,a new Monte Carlo method with irregular random walk grid for solving the partial differential equation is presented. The sluice and spillway flow is solved by the Monte Carlo method. The numerical results agree well with the experiment data. Compared with the finite element method,the Monte Carlo method is more effective for linear problems such as potential flow. It can calculate the velocity and pressure respectively at any points in flow field.