Finite Element Solutions for General Fluid Motion

by Gary L. Guymon, (M.ASCE), Assoc. Prof. of Water Resour. and Civ. Engrg.; Inst. of Water Resour., Univ. of Alaska, Fairbanks, AK,

Serial Information: Journal of the Hydraulics Division, 1973, Vol. 99, Issue 6, Pg. 913-919

Document Type: Journal Paper


General hydrodynamic equations of the same form as the Navier-Stokes and continuity equations are numerically solved by a variational method based on a quasi-linear variational principle. The finite element decomposition results in a simple linear matrix system that is readily solved by standard first order numerical methods. A pseudo-iterative procedure is used to accommodate the basic nonlinearity of the equations of motion.

Subject Headings: Finite element method | Motion (dynamics) | Navier-Stokes equations | Equations of motion | Hydrodynamics | Professional societies | Continuity equations | Decomposition

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