A Numerical Method for Tracking the Deformation of Fluid Particles
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.
X.D. Xu, Bin Li, Q.M. Lu, X.Y. Yan and J.L. Li
S. Chen et al., "A Numerical Method for Tracking the Deformation of Fluid Particles", Applied Mechanics and Materials, Vols. 556-562, pp. 3752-3755, 2014