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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Explicit Finite Difference Schemes for Particulate Flows.

Explicit Finite Difference Schemes for Particulate Flows.

Perrin, Andrew

Paperback

Technology & Engineering

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ISBN10: 1243526440
ISBN13: 9781243526441
Publisher: Proquest Umi Dissertation Pub
Pages: 180
Weight: 0.73
Height: 0.38 Width: 7.44 Depth: 9.69
Language: English
Many implicit schemes have been proposed for direct numerical simulation of particles in fluids, but they can be quite complicated and require a lot of memory when the concentration of particles is high. Explicit finite difference schemes on a regular grid are one way around these issues that has not yet been proposed. The fluid velocity and density can be marched in time, and the particles can be moved according to Newton's laws. Compressible flows can be exactly simulated, and the scheme is easily parallelized. Enforcing the no-slip condition on the spherical particle's surfaces as they move on a Cartesian grid is not so easy, however, so we have proposed a spectral expansion method that exactly satisfies no-slip to deal with the problem, improving on prior methods that required matrix inversions and iteration. This method allows a grid as coarse as ten grid spacings per particle diameter to give smooth forces and accurately resolved pressure distributions on the particle surface. The method has been validated by comparison to a finite element particle solver, and by direct comparison to experiment. Up to 1035 particles have been simulated on a PC with four cores, and the effective viscosity of a sheared particulate suspension has been calculated up to a particle concentration of 25%.

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