The Generalized Boundary Element Approach to Viscous Flow Problems by Using the Time Splitting Technique
We present a new attempt by means of the generalized boundary element approach to solve an unsteady-state problem of viscous fluid flow. This approach is based on the well-known Fractional Step (FS) scheme which is one of the time splitting techniques. The fundamental equations are split into the advection-diffusion-type equation and the linear Euler-type ones. The advection-diffusion-type equation is transformed into the integral representation with the fundamental solution for the Laplace operator. The Poisson equation which is derived by applying some manipulations to the Euler-type equations is also solved by using the generalized boundary element method. Numerical results of the driven cavity flow demonstrate the accuracy and applicability of our method.
KeywordsBoundary Element Boundary Element Method Viscous Fluid Flow Vertical Velocity Profile Horizontal Velocity Profile
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