Boundary Element Grid Optimization for Stokes Flow With Corner Singularities

[+] Author and Article Information
C. Pozrikidis

Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411e-mail: cpozrikidis@ucsd.edu

J. Fluids Eng 124(1), 22-28 (Nov 13, 2001) (7 pages) doi:10.1115/1.1436091 History: Received May 08, 2001; Revised November 13, 2001
Copyright © 2002 by ASME
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Illustration of two-dimensional Stokes flow past a stationary body located above an infinite plane wall
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Streamline pattern of (a) antisymmetric and (b) symmetric flow around a corner with aperture angle 2α=3π/2. (c) Branches of the real and imaginary part of λ for antisymmetric flow (thick lines) and symmetric flow (thin lines); the solid lines represent the real part, and the dashed lines represent the imaginary part.
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Force and torque exerted on a square cylinder with side length a whose center is located at distance a above the plane wall, plotted against the element stretch ratio β for Ns=8, 16, 32, and 64 boundary elements along each side. The highest curve in (a) and the lowest curve in (b) correspond to Ns=64.
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Streamline pattern of shear flow past a square computed with the nearly optimal element distribution of 16 elements along each side, for inclination angle (a) 0, (b) π/4, and (c) π/2. (d) Flow past an inclined square whose center is located at a distance equal to five times the side length above the wall. The dots mark the location of the boundary element nodes.
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Contribution of the top elements to the line integral of the traction defining the force corresponding to Fig. 4(a)
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Distribution of the shear stress along the upper side of the square illustrated in Fig. 4(a), plotted against the arc length measured from the northwestern corner
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Distribution of shear stress with respect to arc length measured from the left and top corners for the flow illustrated in Fig. 4(d)
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Streamline patterns of simple shear flow past a surface-mounted square and section of a circular cylinder




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