Efficient Wall Distance Calculating with Box-Splitting Method

Abstract:

The wall distance is still a key parameter in many applications of turbulence model. The efficiency of wall distance calculating is very important for some complex geometries flows. For stationary problems the wall distance is computed only once, but for the problems with moving body it need to be computed repeatedly and the cost is expensive. Based on the searching procedures, the crude searching method in which the nearest wall distance for a given point within the volume is calculated by measuring the distance to every surface point and keeping the minimum, and the alternating digital tree (ADT) method which is based on the technique of an especial binary tree, are studied and compared. Then a new efficient wall distance calculating method named BSM (box-splitting method) is proposed. Internal and external test cases are use to verify the efficiency of BSM method. The results show that the BSM method is both robust and efficient for internal/external problems, and it can be easily implemented into current CFD software to improve the efficiency of wall distance calculating for turbulence modeling.

• Periodical: Applied Mechanics and Materials (Volume 394)
• Pages: 59-64
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.394.59
• Online since: September 2013
• Authors: Guang Ning Li, Min Xu
• Keywords: Alternating Digital Tree (ADT), Box-Splitting Method (BSM), Turbulence Model, Wall Distance

References

[1] Baldwin, B. S. and Lomax, H. Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows. AIAA-1978-257.

[2] Chien, K. -Y., Predictions of Channel and Boundary Layer Flows with a Low-Reynolds-Number Turbulence Model. AIAA Journal, 1982, 20(1): 33–38.

DOI: 10.2514/3.51043

[3] Lai, Y. G., and So, R. M. C., On Near-Wall Turbulent Flow Modeling. Journal of Fluid Mechanics, 1990, 221: 641–673.

DOI: 10.1017/s0022112090003718

[4] Spalart, P.R. and Allmaras, S.R., A one equation turbulence model for aerodynamic flows. AIAA-1994-0439.

[5] Wigton L. B., Optimizing CFD codes and algorithms for use on Cray computers: Frontiers of computational fluid dynamics. Chapter 16, pp.1-15. World Scientific Publishing Co. Pte. Ltd, (1998).

DOI: 10.1142/9789812815774_0016

[6] Spalart P. R., Trends in Turbulence Treatments. AIAA Paper 2000-2306.

[7] Boger D. A., Efficient method for calculating wall proximity. AIAA Journal, 2001, 9(12): 2404-2406.

DOI: 10.2514/2.1251

[8] Launder, B.E., Reece, G.J. and Rodi, W., Progress in the development of a Reynolds stress turbulence closure, J. Fluid Mech., 68, Part 3, 537-566. (1975).

DOI: 10.1017/s0022112075001814

[9] Tucker P. G., Rumsey C. L., Spalart P. R., Barles R. E. and Biedron R. T., Computation of wall distances based on differential equations. AIAA-2004-2232.

DOI: 10.2514/6.2004-2232

[10] Tucker P. G., Differential equation based wall distance computation for DES and RANS. J. of Comput. Phys., Vol. 190, No. 1, 2003, pp.229-248.

DOI: 10.1016/s0021-9991(03)00272-9

[11] Sethain J. A., Level set methods and fast marching methods, Cambridge University Press, (1999).

[12] Bonet J., Peraire J., An Alternating Digital Tree (ADT) Algorithm for 3D Geometric Searching and Intersection Problems. International Journal for Numerical Methods in Engineering, 1991, 1(1): 1–17.

DOI: 10.1002/nme.1620310102