LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Ma, Q.; Zhou,J. (2009)
Publisher: Tech Science Press
Languages: English
Types: Article
Subjects: TC
Following our previous work, the Meshless Local Petrov-Galerin method based on Rankine source solution (MLPG_R) will be extended in this paper to deal with breaking waves. For this purpose, the governing equation for pressure is improved and a new technique called Mixed Particle Number Density and Auxiliary Function Method (MPAM) is suggested for identifying the free surface particles. Due to complexity of the problem, two dimensional (2D) breaking waves are only concerned here. Various cases are investigated and some numerical results are compared with experimental data available in literature to show the newly developed method is robust.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Arefmanesh, A.; Najafi, M.; Abdi, H. (2008): Meshless Local Petrov-Galerkin Method with Unity Test Function for NonIsothermal Fluid Flow, Computer Modeling in Engineering & Sciences (CMES), Vol. 25, No. 1, pp. 9-22.
    • Atluri, S.N.; Shen, S. (2002): The Meshless Local PetroveGalerkin (MLPG) Method: A Simple & Less-costly Alternative to the Finite Element and Boundary Element Methods, Computer Modeling in Engineering & Sciences (CMES), Vol. 3 (1), pp. 11-52.
    • Atluri, S.N.; Zhu, T. (1998): A New Meshless Local PetrovGalerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics, Vol. 22, pp. 117-127.
    • Atluri, S.N.; Zhu, T. (2000): New Concepts in Meshless Methods, International J. Numerical Methods in Engineering, Vol. 47 (1-3), pp. 537-556.
    • Atluri, S.N. (2005): Methods of Computer Modeling in Engineering and the Sciences. Vol. 1, Tech Science Press.
    • Atluri, S.N.; Liu, H.T.; Han, Z. D. (2006): Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method Method, Computer Modeling in Engineering & Sciences Onate, E; Idelsohn, S; Zienkiewicz, OC; Taylor, RL; Sacco, (CMES), Vol. 26, No. 1, pp. 61-74. C (1996): A stabilized Finite Point Method for Analysis of Li, S; Atluri, S.N., (2008b): The MLPG mixed collocation Fluid Mechanics Problems, Comput. Methods Appl. Mech.
    • method for material orientation and topology optimization Engrg.139: pp 315-346.
    • of anisotropic solids and structures, Computer Modeling in Pini, G.; Mazzia , A.; Sartoretto, F. (2008): Accurate MLPG Engineering & Sciences (CMES), Vol. 30 (1): 37-56. Solution of 3D Potential Problems , Computer Modeling in Lin, P. Z; Liu, Philip L.-F (1998): A numerical study of Engineering & Sciences (CMES), Vol. 36, No. 1, pp. 43- breaking waves in the surf zone, J. Fluid Mech, vol. 359, 64.
    • pp. 239-264. Rapp, RJ; Melville, WK (1990): Laboratory Measurements Lin, H.; Atluri, S.N. (2000): Meshless Local Petrov-Galerkin of Deep-Water Breaking Waves, Philos. Trans. R. Soc.
    • (MLPG) method for convection-diffusion problems, London, Ser. A 3777, 311.
    • Computer Modeling in Engineering & Sciences (CMES), Sellountos , E. J.; Sequeira, A.; Polyzos, D., (2009): Elastic Vol. 1 (2), pp. 45-60. transient analysis with MLPG(LBIE) method and local Lin, H.; Atluri, S.N. (2001): The Meshless Local Petrov- RBFs”, Computer Modeling in Engineering & Sciences Galerkin (MLPG) method for solving incompressible (CMES), Vol. 41, No. 3, pp. 215-242.
    • Navier-Stokes equations, Computer Modeling in Shao, SD; Lo, EYM (2003): Incompressible SPH Method for Engineering & Sciences (CMES), Vol. 2 (2), pp. 117-142. Simulating Newtonian and Non-Newtonian flows with a Lo, E.Y.M.; Shao, S.D. (2002): Simulation of near-shore Free Surface, Advances in Water Resource, 26 (7), pp 787- solitary wave mechanics by an incompressible SPH 800.
    • method”, Applied Ocean Research, Vol 24, pp275-286. Sladek, J; Sladek, V; P. H. Wen; Aliabadi, M.H. (2006): Ma, Q.W. (2005a): Meshless Local Petrov-Galerin Method Meshless Local Petrov-Galerkin (MLPG) Method for for Two-dimensional Nonlinear Water Wave Problems, Shear Deformable Shells Analysis, Computer Modeling in Journal of Computational Physics, Vol 205, Issue 2, pp Engineering & Sciences (CMES), Vol. 13, No. 2, pp. 103- 611-625. 118.
    • Ma, Q.W. (2005b): MLPG Method Based on Rankine Source Sladek, J; Sladek, V; Zhang, Ch.; Tan, C.L. (2006): Meshless Solution for Simulating Nonlinear Water Waves, Computer Local Petrov-Galerkin Method for Linear Coupled Modeling in Engineering & Sciences (CMES), Vol. 9, No Thermoelastic Analysis, Computer Modeling in 2, pp 193-209. Engineering & Sciences (CMES), Vol. 16, No. 1, pp. 57- Ma, Q.W.; Yan, S (2006): Quasi ALE Finite Element 68.
    • Method for Nonlinear Water Waves, Journal of Sladek, J; Sladek, V; Zhang, Ch.; Solek, P., (2007): Computational Physics, 212, pp 52-72. Application of the MLPG to Thermo-Piezoelectricity, Ma, Q.W. (2007): Numerical Generation of Freak Waves Computer Modeling in Engineering & Sciences (CMES), Using MLPG_R and QALE-FEM Methods, Computer Vol. 22, No. 3, pp. 217-234.
    • Modeling in Engineering & Sciences (CMES), Vol.18, Sladek, J; Sladek, V; Solek, P.; Wen, P.H.; Atluri, S.N.
    • No.3, pp.223-234. (2008): Thermal Analysis of Reissner-Mindlin Shallow Ma, Q.W. (2008): A New Meshless Interpolation Scheme for Shells with FGM Properties by the MLPG, Computer MLPG_R Method, Computer Modeling in Engineering & Modeling in Engineering & Sciences (CMES), Vol. 30, No.
    • Sciences (CMES), Vol 23, No 2, pp 75-89. 2, pp. 77-98.
    • Ma, Q.W. (2009): MLPG_R Method and Its Applications to Sladek, J; Sladek, V; Solek, P.; Wen, P.H.; (2008): Thermal Various Nonlinear Water Waves, Ch 15 in ADVANCES Bending of Reissner-Mindlin Plates by the MLPG, IN NUMERICAL SIMULATION OF NONLINEAR Computer Modeling in Engineering & Sciences (CMES), WATER WAVES (ISBN: 978-981-283-649-6 or 978-981- Vol. 28, No. 1, pp. 57-76.
    • 283-649-7), edited by QW Ma, scheduled to be published Sladek, J; Sladek, V; Tan, CL; Atluri, S.N. (2008): in 2009 by The world Scientific Publishing Co. Analysis of Transient Heat Conduction in 3D Anisotropic Mohammadi, M. H. (2008): Stabilized Meshless Local Functionally Graded Solids, by the MLPG Method, Petrov-Galerkin (MLPG) Method for Incompressible Computer Modeling in Engineering & Sciences (CMES), Viscous Fluid Flows, Computer Modeling in Engineering Vol. 32 (3): 161-174.
    • & Sciences (CMES), Vol. 29, No. 2, pp. 75-94. Yasuda, T.; Mutsuda, H.; Mizutani, N. (1997): Kinematics Miyata, H (1986):Finite-difference simulation of breaking of overturning solitary waves and their relations to breaker waves, Journal of Computational Physics, Vol. 65, issue 1, types, Coastal Engng. 29, 317-346.
    • pp. 179-214. Yan, S, and Ma, Q.W., (2009): QALE-FEM for modelling Monaghan, JJ (1994): Simulation Free Surface Flows with 3D overturning waves, accepted for publication by SPH, Journal of Computational Physics, Vol. 110, pp 399- International Journal for Numerical Methods in Fluids.
    • 406. Yuan, W.; Chen, P.; Liu, K. (2007): A New QuasiNayroles, B.; Touzot, G.; Villon P. (1992): Generalizing the Unsymmetric Sparse Linear Systems Solver for Meshless Finite Element Method, Diffuse Approximation and Local Petrov-Galerkin Method (MLPG), Computer Diffuse Elements, Computational Mechanics, Vol. 10, pp. Modeling in Engineering & Sciences (CMES), Vol. 17, No.
    • 307-318. 2, pp. 115-134.
    • Zhang, S; Morita, K; Kenji, F; Shirakawa, N (2006): An Improved MPS Method for Numerical Simulations of Convective Heat Transfer Problems, International Journal for Numerical Methods in Fluids, pp 51: 31-47.
    • Vavourakis, V.; Sellountos, E. J.; Polyzos, D. (2006): A comparison study on different MLPG(LBIE) formulations, Computer Modeling in Engineering & Sciences (CMES), Vol. 13, No. 3, pp. 171-184.
    • Wang, K.; Zhou, Shenjie; Nie, Zhifeng; Kong, Shengli, (2008): Natural neighbour Petrov-Galerkin Method for Shape Design/Sensitivity Analysis, Computer Modeling in Engineering & Sciences (CMES), Vol. 26, No. 2, pp. 107- 122.
    • Wu, N.J. ; Tsay, T.K. ; Young. D.L. (2006): Meshless numerical simulation for fully nonlinear water waves, International Journal for Numerical Methods in Fluids Vol. 50, pp 219-234
  • No related research data.
  • Discovered through pilot similarity algorithms. Send us your feedback.

Share - Bookmark

Cite this article