Analysis of double free surface flow under radial gate by coupled EFG-RPIM method

Document Type : Research Article

Author

Mechanical Engineering Department, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran.

Abstract

The element-free Galerkin (EFG) and the radial point interpolation (RPIM) methods are two meshless
methods in the field of the computational mechanics. In the present study, a computational scheme
using a variable domain and a fixed domain is presented based on the coupling of EFG and RPIM for
analysis of two dimensional double free surface flows under radial gate for the computation of the free
surface profiles, velocity and pressure distributions, and the flow rate of a 2D gravity fluid flow
through the conduit. The coupling between EFG and RPIM is achieved by using the RPIM shape
functions as the weight functions for EFG method. In this approach, contrary to EFG method, the
imposition of the essential boundary conditions is straight forward and shape functions fulfill the
Kronecker delta property. In this study, the fluid is assumed to be inviscid and incompressible and the
obtained results are compared by conducting a hydraulic model test. The results are in agreement in
terms of free surface profiles and pressure distributions.

Keywords

References

جوانمرد س. (1395). "آنالیز مسائل سرریز زیر دریچه شعاعی بر اساس روش گالرکین بدون المان-المان طبیعی"، مهندسی منابع اب، دوره 9، شماره 31، ص.‌ص. 61-72.
سلیمان بیگی ن.، حکیم زاده ح. و چناقلو م. (1392). "ترکیب روش VOF و هوش مصنوعی برای شبیه‌سازی سطح آزاد جریان سیال"، روش‌های عددی در مهندسی (استقلال)، دوره 32، شماره 2، ص.ص. 15-32.
فرزین س.، حسن زاده ی.، اعلمی م. و فاتحی ر. (1393). "یک روشSPH  تراکم ناپذیر ضمنی برای مسائل جریان سطح آزاد"، مهندسی مکانیک مدرس، دوره 14، شماره 4، ص.ص. 99-110.
Cheng, A. H-D, Liggett, J. A., and Liu, P. L-F. (1981). “Boundary calculations of sluice and spillway flows”. Journal of the Hydraulics Division. ASCE. 107: 1163-1178.
Daneshmand, F., and Kazemzadeh Parsi, M. J. (2004). “A meshless method for free surface flow through sluice gates”. 6th International Conference on Hydroinformatics, Singapur.
Daneshmand, F., Javanmard, S.A.S., Adamowski, Jan F.,Liaghat, T., Moshksar, M. M. (2012). “Two-dimensional natural element analysis of double-free surface flow under a radial gate”. Canadian Journal of Civil Engineering. 39: 643-653.
Daneshmand, F., Javanmard, S.A.S., Liaghat, T., Moshksar, M. M., Adamowski, Jan F. (2010). “Numerical solution for two-dimensional flow under sluice gate using natural element method”. Canadian Journal of Civil Engineering. 37: 1550–1559.
Daneshmand, F., Sharan, S. K., and Kadivar, M. H. (1999). Finite element analysis of double-free-surface flow through gates. Proc. 17th Canadian Congress of Applied Mechanics, McMaster Univ. Hamilton. 213-214.
Daneshmand, F., Sharan, S. K., and Kadivar, M. H. (2000). “Finite Element Analysis of Double-Free surface Flow through Slit in Dam”. Journal of the Hydraulics Division. ASCE. 126: 515-522.
Fangmeier, D. D., and Strelkoff, T. S. (1968). “Solution for gravity flow under a sluice gate”. Journal of the Engineering Mechanics. ASCE. 94: 153-176.
Ikegawa, M., and Washizu, K. (1973). “Finite element method applied to analysis of flow over a spillway crest”. International Journal for Numerical Methods in Engineering 6: 179-189.
Issacs, L. T. (1977). “Numerical solution for flow under sluice gates”. Journal of the Hydraulics Division. ASCE. 103: 473-481.
J I Chun-ning, WANG Yuan-zhan and WANG Jian-feng. (2005). “A Novel VOF-Type Volume-Tracking Method for Free-Surface Flows Based on Unstructured Triangular Mesh”. China Ocean Engineering. 19:529-538.
Larock B.E. (1975). “Flow over gated spillway crests”. Proceeding of 14th Midwestern Mechanics Conferance.University of Oklahama. March 24-26. 437-451.
Li, W., Xie, Q., and Chen, C. J. (1989). “Finite analytic solution of flow over spillways”. Journal of Engineering Mechanics. ASCE. 115: 2635-2648.
Liu, G.R. (2003). “Mesh Free Methods: Moving Beyond the Finite Element Method”, CRC Press LLC.
Masliah J.H., Nandakumar K., Hemphhill F., Fung L. (1985). “Body fitted coordinates for flow under sluice gates”. Journal of Hydraulic Engineering. 111: 922-933.
McCorquodale, J. A., and Li, C. Y. (1971). “Finite element analysis of sluice gate flow”.  Transactions Engineering Institute of Canada. 14: C-2.
Most T. (2007). “A natural neighbour-based moving least-squares approachfor the element-free Galerkin method”. International Journal for Numerical Methods in Engineering. 71: 224-252.
Sankaranarayanan, S., and Rao, H. S. (1996). “Finite element analysis of free surface flow through gates”. International Journal for Numerical Methods in Fluids. 22: 375-392
Shiraz University. (2007). “Hydraulic model test of bottom outlet of shahryar dam”, Report No. SHM-R-002. Shiraz, Iran
Sokoray-Varga, B. and Józsa, J. (2008). “Particle tracking velocimetry (PTV) and its application to analyse free surface flows in laboratory scale models”. Periodica Polytechnica Civil Engineering. 52: 63-71.
Vanden-Broek, J. M. (1997). “Numerical calculations of the free surface flow under a sluice gate”. Journal of Fluid Mechanics, Cambridge. U.K.. 330: 339-247.

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History

  • Receive Date: 05 March 2018
  • Revise Date: 21 August 2018
  • Accept Date: 29 August 2018

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