A STRESS - HYBRID FINITE ELEMENT METHOD FOR STOKES' FLOW C. Bratianu* and S.N. Atluri** Center for the Advancement of Computational Mechanics
نویسندگان
چکیده
Computational fluid mechanics based on the finite element method has been developed so far following two distinct approaches (a) using a stream function, or stream functlon-vortlcity formulation [1,2], and (b) using a primitive variables formulation [3,4,5]. Within the first approach a stream function is defined such that the continuity equation is identically satisfied and the momentum equations are combined into a single equation expressed in terms of stream function, or stream function and vorticity. In the second approach velocities and pressure become the main variables of the working equation system. The finite element method is then implemented via a variational, quasi-variational approach or the method of weighted residuals [6,7,8,9].
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