A Numerical Method for Tracking the Deformation of Fluid Particles

Article Preview

Abstract:

A model for the deformation of fluid particle under the action of velocity gradient tensor is proposed in this article. In this contribution, the control volume/surface is geometrically simplified into micro-ellipse. By using a series of changes of basis and eigenvalue decomposition, a numerical method for the deformation of an elliptic fluid particle is then demonstrated. Finally, this method is applied in two different problems involving smoothed particle hydrodynamics (SPH) simulation and a passive scalar turbulence case.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3752-3755

Citation:

Online since:

May 2014

Export:

Price:

* - Corresponding Author

[1] D. McKenzie: Geophysical Journal of the Royal Astronomical Society, Vol. 58 (1979) No. 3, p.689.

Google Scholar

[2] R.A. Gingold and J.J. Monaghan: Monthly Notices of the Royal Astronomical Society, Vol. 181 (1977), p.375.

Google Scholar

[3] B. Qu: Statistical Exploration of the Non-Gaussian Reduction of the Mean-Square Advection in Turbulent Passive Scalar Mixing (MS., Beihang University, China 2014), p.52.

Google Scholar

[4] N. Subramanian, L.H. Kellogg and D.L. Turcotte: Journal of Statistical Physics, Vol. 136 (2009) No. 5, p.926.

Google Scholar

[5] Information on http: /code. google. com/p/sph-turb.

Google Scholar

[6] F.Y. Liu and L. Fang: submitted to International Conference on Advances in Mechanical Engineering and Industrial Informatics (Beijing, China, April 19-20, 2014).

Google Scholar

[7] W. Bos, R. Rubinstein and L. Fang: Physics of Fluids, Vol. 24 (2012) No. 7, p.075104.

Google Scholar

[8] L. Fang, L. Shao, J.P. Bertoglio, G.X. Cui, C.X. Xu, and Z.S. Zhang: Physics of Fluids, Vol. 21 (2009) No. 6, p.065108.

Google Scholar

[9] L. Fang, B. Li and L.P. Lu: accepted by Acta Mechanica Sinica.

Google Scholar