An Improved Solution Of N-S Equation Based On High Precision And Its Numerical Simulation

In this paper,for the problem of single medium of two-dimensional viscous incompressibleNavier-Stokes equation(N-S equation for short)as the study of fluid motion control equation,inview of its numerical solution given an improver algorithm of high precision.The algorithmcombined with artificial compression method, the center typed six order compact finitedifference method,and the three order Runge-Kutta method, in the process of discrete equation ofthe unsteady continuous equation do artificial compression processing,the six order compactfinite difference format and the three order Runge-Kutta method of space and time derivativetake discrete.The whole precision of the algorithm is high and the Fourier analysis contrastresults shows that the algorithm can better approximation numerical simulation of the actualproblem of accurate solution.In order to verify the effectiveness of the algorithm,this paper in the flume of uniform fixedaround the ice flow field simulation experiment.By setting up different Reynolds numberconditions, simulate the flow field of the ice sheet around distribution and the level of the speedchange rule, and reveals the trough ice floes within the tao flow field and fixed around thecorrelation of Reynolds number.The numerical simulation results shows that, the six order centertype compact finite difference algorithm taken in this paper can better simulating the actual flowfield, and the algorithm can simple the calculation process, and its high accuracy, good stability.