**Transport and Mixing in Liquid Phase Using Large Eddy Simulation: A Review**

Juan M. Mejía, Amsini Sadiki, Farid Chejne and Alejandro Molina

Additional information is available at the end of the chapter

http://dx.doi.org/10.5772/63993

#### **Abstract**

[36] Jamet D, Torres D, Brackbill JU. On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second‐gradient

[37] Popinet S, Zaleski S. A front‐tracking algorithm for accurate representation of surface tension. International Journal for Numerical Methods in Fluids 1999; 30: 775–793. [38] Bohluly A, Borghei SM, Saidi, MH. A new method in two phase flow modeling of a non‐uniform grid. Scientia Iranica, Transaction B: Mechanical Engineering 2009; 16(5):

[39] Chorin AJ. Curvature and solidification. Journal of Computational Physics 1985;

[40] Ashgriz N, Poo JY. A computational method for determining curvatures. Journal of

[41] Kothe DB, Rider WJ, Mosso SJ, Brock JS, Hochstein JI. Volume Tracking of Interfaces Having Surface Tension in Two and Three Dimensions. AIAA 34th Aerospace Sciences

[42] Saghi H, Ketabdari MJ, Zamirian M. A novel algorithm based on parameterization method for calculation of curvature of the free surface flows. Applied Mathematical

method. Journal of Computational Physics 2002; 182: 262–276.

425–439.

58:472–490.

Computational Physics 1989; 84: 483–491.

Modelling 2013; 37: 570–585.

398 Numerical Simulation - From Brain Imaging to Turbulent Flows

Meeting and Exhibit 1996; AIAA 96‐0859, Reno, NV, USA.

Many mixing processes in engineering applications are turbulent. At high‐Schmidt regime, the scalar scales are much lower than those of the velocity field, making difficult instantaneous measurements and direct numerical simulation for studying systems of practical interest. The use of large eddy simulation (LES) for analyzing transport and mixing of passive and reactive scalars at high‐Schmidt (*Sc*) regime is addressed in this article. We present two different approaches for studying scalar transport and mixing in LES: the conventional approach is based on the modeling of the unclosed subgrid‐ scale scalar flux term in the filtered scalar equation by models commonly used for high‐ Sc flows. The second approach presented in this review for dealing with high‐Sc flows is based on the use of a filtered mass density function (FDF) of the scalar field. Conclusions are presented about the relative merits of the two approaches.

**Keywords:** mixing, large eddy simulation, high Schmidt, filtered mass density func‐ tion
