Approximation of pressure perturbations by FEM

Details Approximation of pressure perturbations by FEM Approximation of pressure perturbations by FEM

2011-10-20

arxiv.org/abs/1110.4507v1

Mathematics-Informatics Series, 9 (2003), 31-36

Mathematics

Numerical Analysis

Presented at the 10th Conference on Applied and Industrial Mathematics - CAIM 2002, Pitesti and Mioveni, Romania, October, 200

Scientific paper

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.

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