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Orthogonal, solenoidal, three-dimensional vector fields for no-slip boundary conditions

Leaf Turner
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Abstract

Viscous fluid dynamical calculations require no-slip boundary conditions. Numerical calculations of turbulence, as well as theoretical turbulence closure techniques, often depend upon a spectral decomposition of the flow fields. However, such calculations have been limited to two-dimensional situations. Here we present a method that yields orthogonal decompositions of incompressible, three-dimensional flow fields and apply it to periodic cylindrical and spherical no-slip boundaries.

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Leaf Turner. 2006-08-18. Orthogonal, solenoidal, three-dimensional vector fields for no-slip boundary conditions. https://doi.org/10.1088/1751-8113/40/4/010

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