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Time-dependent FEM solution of the incompressible Navier--Stokes equations in two- and three-dimensions

, , , and . Preprint, UCRL–81323. Lawrence Livermore Laboratory, (July 1978)

Abstract

Future prospects regarding the numerical solution of the Navier-Stokes equations using the finite element method are discussed. Since the ultimate goal is to solve these equations in three-dimensions, only the primitive variable (u,P) formulation is considered. A novel feature of the two-dimensional solution technique relates to the methodology developed and employed for solving the semi-discretized system of ordinary differential equations, which are outlined in the section describing the development of the two-dimensional code. Following the discussion of numerical results from two-dimensional calculations, three-dimensional flows are discussed, where several potentially viable options are considered.

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Prepared for International Conference on Numerical Methods in Laminar & Turbulent Flow, Swansea, Wales, 17–21 July 1978

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