Seventh Mississippi State - UAB Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 17 (2009), pp. 149-157.

Spectral element simulations of flow past an ellipsoid at different Reynolds numbers

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
George Karniadakis
Division of Applied Mathematics, Brown University
Providence, RI 02912, USA
email: George_Karniadakis@brown.edu
Martin Maxey
Division of Applied Mathematics, Brown University
Providence, RI 02912, USA
email: Maxey@dam.brown.edu

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