Don Liu, George Karniadakis, Martin Maxey
Abstract:
A new method is developed to simulate the fully coupled motion
involving an ellipsoidal particle and the ambient fluid.
This method essentially reduces a two-phase flow problem into a
single-phase fluid flow problem. The momentum exchange at the
interface between the particle and the fluid is computed in a
spectral element method. To validate this method and demonstrate
the accuracy of the results, theoretical data as well as results
from the direct numerical simulations (DNS) via a spectral element
method are obtained to provide reference and comparison.
Published April 15, 2009.
Math Subject Classifications: 74S25, 74S05, 76T99.
Key Words: Two phase flow; spectral element method; ellipsoid;
direct numerical simulation.
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Don Liu Mathematics and Statistics, Louisiana Tech University Ruston, LA 71270, USA email: donliu@LaTech.edu Tel: 318 257 4670 |
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George Karniadakis Division of Applied Mathematics, Brown University Providence, RI 02912, USA email: George_Karniadakis@brown.edu |
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Martin Maxey Division of Applied Mathematics, Brown University Providence, RI 02912, USA email: Maxey@dam.brown.edu |
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