The Two-Dimensional Oscillating Airfoil: A New Implementation of the Galerkin Method

DOI10.1137/0720027zbMath0534.76009OpenAlexW2040562990MaRDI QIDQ3318302

William F. Moss

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0720027

zbMATH Keywords

error analysisairfoil profilefree stream velocityHilbert space settingreduced frequencyclassical Galerkin methodBland-version of integral equation of oscillating airfoilscomplex downwashdouble quadrature formulaMach number zero casePossio's kernelpressure factorweighted \(L^ 2\)- spaces

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (3)

A Gauss quadrature formula for Cauchy type integrals ⋮ On the numerical resolution of the generalized airfoil equation with Possio kernel ⋮ A modified Gauss quadrature formula with special integration points for evaluation of quasi-singular integrals

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