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Exact(9)
The fundamental investigations are carried out using a basic geometry of a moving sphere on a plate.
Due to the lack of a solver which is able to describe the system of a moving sphere on a plate, a new solver is developed in OpenFOAM®.
In a first validation section, the results of simulations of four Stokes flows around a single moving sphere are compared with classical analytical results.
These data are fitted so as to obtain handy formulae, providing e.g. the velocity of the freely moving sphere with a 1% error.
A series of simulations of a stationary and moving sphere in a periodic channel at Reynolds number range of 1 100 are presented.
In this paper, we use the so-called moving sphere method to give local estimates of a positive singular solution u near its singular set Z of the conformal scalar curvature equation Δu+K x u(n+2)/(n−2)=0inΩ\Z,u>0 and u∈C2in Ω\Z, where Ω⊃ B2 is an open bounded subset of Rn, n⩾3,K x) is a continuous function defined on Ω and Z is a compact subset of Ω with Newtonian capacity zero.
Similar(51)
In those days, with "childlike emotional intensity" we may have imagined the heavens as "a magical place," "a ceiling of moving spheres, rippling with signs and symbols".
We prove that the minimum distance between two sphere-swept surfaces is identical to that between two moving spheres.
The Navier Stokes equations in spherical coordinates are solved on body-fitted spherical polar grids attached to the moving spheres.
In a second validation section, results of three Navier Stokes flows around one or more moving spheres are presented.
Rather than computing the complicated normal vectors for given surfaces, our method solves the problem by computing the minimum distance between two moving spheres.
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