Seventh Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 17 (2009), pp. 149-157.

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

Authors: Don Liu (Louisiana Tech Univ., Ruston, LA, USA)
         George Karniadakis (Brown Univ., Providence, RI, USA)
	 Martin Maxey  (Brown Univ., Providence, RI, USA)
 
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.