Browse > Article

Boundary Method for Shape Design Sensitivity Analysis in Solving Free-Surface Flow Problems  

Choi Joo Ho (School of Aerospace and Mechanical Engineering, Hankuk Aviation University)
Kwak H. G. (Department of Aerospace and Mechanical Engineering, Hankuk Aviation University)
Grandhi R. V. (Department of Mechanical and Materials Engineering, Wright State University)
Publication Information
Journal of Mechanical Science and Technology / v.19, no.12, 2005 , pp. 2231-2244 More about this Journal
Abstract
An efficient boundary-based optimization technique is applied in the numerical computation of free surface flow problems, by reformulating them into the equivalent optimal shape design problems. While the sensitivity in the boundary method has mainly been calculated using the boundary element method (BEM) as an analysis means, the finite element method (FEM) is used in this study because of its popularity and easy-to-use features. The advantage of boundary method is that the design velocity vectors are needed only on the boundary, not over the whole domain. As such, a determination of the complicated domain design velocity field, which is necessary in the domain method, is eliminated, thereby making the process easy to implement and efficient. Seepage and supercavitating flow problem are chosen to illustrate the accuracy and effectiveness of the proposed method.
Keywords
Boundary Method; Shape Design Sensitivity Analysis; Shape Optimization; Free Surface Flow; Seepage; Supercavitation;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 Tsai, W. and Yue, D. K. P., 1996, 'Computation of Nonlinear Free-Surface Flows,' Annual Reviews on Fluid Mechanics, Vol. 28, pp. 249-278   DOI   ScienceOn
2 Van Brurnmelen l , E. H. and Segal, A., 2003, 'Numerical Solution of Steady Free-Surface Flows by the Adjoint Optimal Shape Design Method,' International Journal for Numerical Methods in Fluids, Vol. 41, pp. 3-27   DOI   ScienceOn
3 Rousselet, B. and Haug, E. J., 1981, Design Sensitivity Analysis of Shape Variation, in E.J. Haug and J. Cea, (eds.), Optimization of Distributed Parameter Structures, Sijthoff-Noordhoff and Alphen aan den Rijn The Netherlands, pp. 1397-1442
4 Kirschner, I. N., Kring, D. C., Stokes, A. W., Fine, N. E. and Uhlman, Jr. J. S., 1995, 'Supercavitating Projectiles in Axisymmetric Subsonic Liquid flows,' American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, Vol. 210, pp. 75-93
5 Meric, R. A., 1995, 'Differential and Integral Sensitivity Formulations and Shape Optimization by BEM,' Engineering Analysis with Boundary Elements, Vol. 15, pp. 181-188   DOI   ScienceOn
6 Park, C. W., Yoo, Y. M. and Kwon, K. H., 1989, 'Shape Design Sensitivity Analysis of an Axisymmetric Turbine Disk Using the Boundary Element Method,' Computers & Structures, Vol. 33, pp. 7-16   DOI   ScienceOn
7 Leontieva, A. and Huacasi, W., 2001, 'Mathematical Programming Approach for Unconfined Seepage Flow Problem,' Engineering Analysis with Boundary Elements, Vol. 25, pp. 49-56   DOI   ScienceOn
8 Logvinovich, G. V., 1972, Hydrodynamics of Free- Boundary Flows. Translated From Russian, Israel Program for Scientific Translations : Jerusalem
9 Hardee, E., Chang, K. H., Tu, J., Choi, K. K. Grindeanu, I. and Yu, X., 1999, 'A CAD-Based Design Parameterization for Shape Optimization of Elastic Solids,' Advances in Engineering Software, Vol. 30, pp 185-199   DOI   ScienceOn
10 Karkkainen, Kari T. and Tiihonen, Tirno., 1999, 'Free Surfaces : Shape Sensitivity analysis and Numerical Methods,' International Journal for Numerical Methods in Engineering, Vol. 44, pp. 1079-1098   DOI   ScienceOn
11 Kwak, B. M., 1994, 'A Review on Shape Optimal Design and Sensitivity Analysis,' Journal of Structural Mechanics and Earthquake Engineering, JSCE., Vol. 10, pp. 1595-1745
12 Choi, K. K. and Haug, E. J., 1983, 'Shape Design Sensitivity Analysis of Elastic Structures,' Journal of Structural Mechanics, Vol. 11, pp. 231-269   DOI   ScienceOn
13 Choi, K. K. and Seong, H. G., 1986, 'Domain Method for Shape Design Sensitivity Analysis of Built-up Structures,' Computer Methods in Applied Mechanics and Engineering, Vol. 57, pp. 1-15   DOI   ScienceOn
14 Dems, K. and Mroz, Z., 1984, 'Variational Approach by Means of Adjoint Systems to Structural Optimization and Sensitivity Analysis - II : Structure Shape Variation,' International Journal of Solids and Structures, Vol. 20, pp. 527-552   DOI   ScienceOn
15 Chang, K. R., Choi, K. K., Tsai, C. S., Chen, C.J., Choi, B. S. and Yu, X., 1995, 'Design Sensitivity Analysis and Optimization Tool (DSO) for Shape Design applications,' Computing Systems in Engineering, Vol. 6, pp. 141-175   DOI   ScienceOn
16 George, Mejak., 1997, 'Finite Element Solution of a Model Free Surface Problem by the Optimal Shape Design Approach,' International Journal for Numerical Methods in Engineering, Vol. 40, pp. 1525-1550   DOI   ScienceOn
17 Haftka, R. T. and Grandhi, R. V., 1986, 'Structural Shape Optimization - A Survey,' Computer Methods in Applied Mechanics and Engineering, Vol. 57, pp. 91-106   DOI   ScienceOn
18 Burczyski, T. and Adamczyk, T., 1985, 'The Boundary Element Formulation for Multiparameter Structural Shape Optimization,' Applied Mathematical Modeling, Vol. 9, pp. 95-200   DOI   ScienceOn
19 Choi, J. H. and Kwak, B. M., 1988, 'Boundary Integral Equation Method for Shape Optimization of Elastic Structures,' International Journal for Numerical Methods in Engineering, Vol. 26, pp. 1579-1595   DOI   ScienceOn
20 Choi, J. H., 1987, Shape Optimal Design Using Boundary Integral Equations, Ph.D., Thesis, Korea Advanced Institute of Science and Technology, Seoul, Korea
21 Choi, J. H., Penmetsa, R. C. and Grandhi, R. V., 2005, 'Shape Optimization of the Cavitator for a Supercavitating Torpedo,' Structural and Multidisciplinary Optimization, Vol. 29, pp. 159-167   DOI
22 Zolesio, J. P., 1981, The Material Derivative (or Speed) Method for Shape Optimization, in E.J. Haug and J. Cea (eds.), Optimization of Distributed Parameters Structures, Sijthoff-Noordhoff and Alphen aan den Rijn, The Netherlands pp. 1152-1194
23 Yao, T. M. and Choi, K. K., 1989, '3-D Shape Optimal Design and Automatic Finite Element Regridding,' International Journal for Numerical Methods in Engineering, Vol. 28, pp. 369-384   DOI   ScienceOn