A Finite Element Method Study of Eulerian Droplets Impingement Models

To compute droplet impingement on airfoils, an Eulerian model for air flows containing water droplets is proposed as an alternative to the traditional Lagrangian particle tracking approach. Appropriate boundary conditions are presented for the droplets equations, with a stability analysis of the solution near the airfoil surface. Several finite element formulations are proposed to solve the droplets equations, based on conservative and non-conservative forms and using different stabilization terms. Numerical results on single and multi-elements airfoils for droplets of mean volume diameter, as well as for a Langmuir distribution of diameters, are presented and validated against measured values

[1]  Clayton T. Crowe,et al.  Review—Numerical Models for Dilute Gas-Particle Flows , 1982 .

[2]  Thomas J. R. Hughes,et al.  A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems , 1986 .

[3]  Sigmar Wittig,et al.  Computation of turbulent evaporating sprays: Eulerian versus Lagrangian approach , 1995 .

[4]  Michel Fortin,et al.  Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.

[5]  Sylvain Boivin,et al.  a New Artificial Viscosity Method for Compressible Viscous Flow Simulations by FEM , 1993 .

[6]  T. Zierten,et al.  Two-dimensional wind-tunnel tests of a NASA supercritical airfoil with various high-lift systems. Volume 2: Test data , 1977 .

[7]  I. Langmuir,et al.  mathematical investigation of water droplet trajectories , 1946 .

[8]  W. Hankey,et al.  Navier-Stokes solution to the flowfield over ice accretion shapes , 1988 .

[9]  F. Durst,et al.  Eulerian and Lagrangian predictions of particulate two phase flows , 1984 .

[10]  Gary A. Ruff,et al.  Users Manual for the NASA Lewis Ice Accretion Prediction Code (LEWICE) , 1990 .

[11]  Wagdi G. Habashi,et al.  A second order finite element method for the solution of the transonic Euler and Navier‐Stokes equations , 1995 .

[12]  Bijan Mohammadi,et al.  Fluid dynamics computation with NSC2KE : an user-guide : release 1.0 , 1994 .

[13]  William B. Wright,et al.  Additional improvements to the NASA Lewis ice accretion code LEWICE , 1995 .