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Equation-Based Modeling: Simulation of a Flow with Concentrated Vorticity in an Unbounded Domain
Publié en 2016
The velocity field of a fluid flow in an unbounded domain, R, in which the spin of fluid elements is nonzero only within a bounded subdomain, Ri---namely, the interior of a sphere of radius, a---is simulated by equation-based modeling. A change of independent variable motivated by Kelvin Inversion maps the region exterior to Ri, hereinafter denoted Re, to a proxy domain, Q, in the form of a spherical ball whose radius is also a. The simulation involves simultaneous solution of the boundary-value problems for the physical velocty in Ri and a proxy velocity in Q and the results recover those of a 19th century analytical solution known as Hill's spherical vortex.
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- russell_presentation.pdf - 0.89MB
- russell_paper.pdf - 0.67MB
- russell_abstract.pdf - 0.14MB