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Morandi Cecchi M., Cella A. A finite element solution of the stability of superposed fluids. In: Conference on Finite Element Methods in Fluids Flows (Swansea, UK, 7, 12 January 1974). Proceedings, 1974.
 
 
Abstract
(English)
The stability of superposed fluids subjected to gravity is analized as an eigenvalue problem for a linear differential operator. For a viscous fluid the eigenvalue problem is found to be quadratic and to have a discrete bounded spectrum of positive eignvalues and a discrete unbounded spectrum of negative eigenvalues. For an anviscid fluid the eigenvalue problem becomes ordinary and is solved numerically through finite element discretization of the fluid , and conjugate gradient minimization of the Rayleigh quotient.
Subject


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