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

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

2006-08-18

arxiv.org/abs/physics/0608195v1

Journal of Physics A:Mathematical and Theoretical 40 (2007)741-754

Physics

Fluid Dynamics

16 pages, 2 three-part figures

Scientific paper

10.1088/1751-8113/40/4/010

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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