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Approximation of pressure perturbations by FEM (1110.4507v1)
Published 20 Oct 2011 in math.NA and cs.NA
Abstract: In the mathematical problem of linear hydrodynamic stability for shear flows against ToLLMien-Schlichting perturbations, the continuity equation for the perturbation of the velocity is replaced by a Poisson equation for the pressure perturbation. The resulting eigenvalue problem, an alternative form for the two-point eigenvalue problem for the Orr-Sommerfeld equation, is formulated in a variational form and this one is approximated by finite element method (FEM). Possible applications to concrete cases are revealed.