A finite element method for diffusion dominated unsteady viscous flows |
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Authors: | Max D Gunzburger CH Liu RA Nicolaides |
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Affiliation: | Carnegie-Mellon University, Pittsburgh, PA 15213, U.S.A.;NASA Langley Research Center, Hampton, VA 23665, U.S.A.;Department of Mathematics, University of Connecticut, Storrs, CT 06268, U.S.A. |
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Abstract: | A general conforming finite element scheme for computing viscous flows is presented which is of second-order accuracy in space and time. Viscous terms are treated implicitly and advection terms are treated explicitly in the time marching segment of the algorithm. A method for solving the algebraic equations at each time step is given. The method is demonstrated on two test problems, one of them being a plane vortex flow for which asymptotic methods are used to obtain suitable numerical boundary conditions at each time step. |
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