A method is developed with a relationship between volume of fluid and velocity and molecular dynamics method.Flow velocity of liquid argon is calculated in simulations of three-dimensional Poiseuille flows and cavity flows.It shows that calculated flow velocities are basically consistent with that obtained from traditional molecular dynamics method.The method can be applied to various kinds of channel flows.For flows driven in square cavities,calculated velocities are roughly the same,but the boundary velocities are varied widely.Accuracy of the new method is better with a faster convergence rate.

A two parameter numerical inverse method of differential equation with only one complementary condition is presented.According to this principle a simultaneous inverse algorithm of lithology parameter and seismic source function of one dimensional wave equation is given in detail.Theoretical analysis and numerical examples demonstrate the existence of solution,stability and accuracy of the method.The method provides a suitable way to solve the difficulty of unknown source function in practical seismic exploration.The numerical results show the feasibility of the algorithm.

This paper presents a new method, FR method, to solve the inverse problems of acoustic wave equations. FR method is a general numerical inversion algorithm of acoustic wave equations. It can be used to one, two or three dimensional inverse problems with any different boundary conditions. The basic principle and formulae are derived carefully in the paper, and numerical examples of one and two dimensional inverse problems are given. The numerical results show the accuracy and stability of the method.