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Ma, Q. (2008)
Publisher: TECH SCIENCE PRESS
Languages: English
Types: Article
Subjects: TC
In the MLPG{\_}R (Meshless Local Petrove-Galerkin based on Rankine source solution) method, one needs a meshless interpolation scheme for an unknown function to discretise the governing equation. The MLS (moving least square) method has been used for this purpose so far. The MLS method requires inverse of matrix or solution of a linear algebraic system and so is quite time-consuming. In this paper, a new scheme, called simplified finite difference interpolation (SFDI), is devised. This scheme is generally as accurate as the MLS method but does not need matrix inverse and consume less CPU time to evaluate. Although this scheme is purposely developed for the MLPG{\_}R method, it may also be used for other meshless methods.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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    • Atluri, S.N.; Zhu, T. (1998): A New Meshless Local PetrovGalerkin (MLPG) Approach in Computational Mechanics, Computational Mechanics, Vol. 22, pp. 117-127.
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    • Han, Z. D.; Atluri, S. N. (2004a): Meshless Local Petrov- Ma, Q.W., (2005a): Meshless Local Petrov-Galerkin Method Galerkin (MLPG) Approach for 3-Dimensional Elasto- for Two-dimensional Nonlinear Water Wave Problems. dynamics, Computers, Materials & Continua, Vol. 1 (2), Journal of Computational Physics, Vol. 205, Issue 2, pp. pp. 129-140. 611-625.
    • Han, Z. D.; Atluri, S. N. (2004b): Meshless Local Petrov- Ma, Q.W., (2005b): MLPG Method Based on Rankine Galerkin (MLPG) Approaches for Solving 3D Problems in Source Solution for Simulating Nonlinear Water Waves, Elasto-statics, CMES: Computer Modeling in Engineering CMES: Computer Modeling in Engineering & Sciences, & Sciences, Vol. 6 (2), pp. 169-188. Vol. 9, No. 2, pp. 193-210.
    • Heo, S., Koshizuka, S. and Oka, Y., (2002): Numerical Yoon, H.Y., Koshizuka, S., Oka, Y., (2001): Direct analysis of boiling on high heat-flux and high sub-cooling calculation of bubble growth, departure, and rise in condition using MPS-MAFL, International Journal of nucleate pool boiling, International Journal of Multiphase Heat and Mass Transfer, 45, pp. 2633-2642. Flow, 27, pp. 277-298.
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