Application Of Monte Carlo Methods In Mass Concrete Thermal Field Calculating

Monte-Carlo methods comprise that branch of experimental mathematics which are concerned with experiments on random numbers. Based on the principle of Monte-Carlo methods, this paper brought up irregular grid random walk solutions and testifies for the planar Laplace equationand the planar first boundary condition no source Differential equation for conduction of heat.Used these methods, in this paper gave numerical results for mass concrete steady-state and transient thermal analysis. Using these methods we can solve temperature value on any single node at any moment, needn't forming the total stiffness matrix, according to the times of Random Walks can be easy to control the precision. Compared with Finite Element Method, these methods are more convenient and no accumulative error, and easily to simulate about environmental temperature change. This paper calculated the same problem with Finite Element method, and compared with the Monte Carlo methods, the result indicate Monte...