Theory and implementation of a semi-implicit finite element method for viscous incompressible flow |
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Authors: | B. Ramaswamy |
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Affiliation: | Department of Mechanical Engineering and Materials Science, Rice University, Houston, TX 77251-1892, U.S.A. |
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Abstract: | A numerical procedure for solving the time-dependent, incompressible Navier-Stokes equations is derived based on the operator-splitting technique. This operator split allows separate operations on each of the variable fields to enable pressure-velocity coupling. Discretizations of the equations are formed on a nonstaggered finite element mesh and the solutions are obtained in a time-marching fashion. Several benchmark problems, including a standing vortex problem, a lid-driven cavity and a flow around a rectangular cylinder, are studied to demonstrate the robustness and accuracy of the present algorithm. |
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