A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics

被引：32
作者：
El Zahab, Z. [1 ]
Divo, E. [2 ]
Kassab, A. J. [1 ]
机构：
[1] Univ Cent Florida, Dept Mech Mat & Aerosp Engn, Orlando, FL 32816 USA
[2] Univ Cent Florida, Engn Technol Dept, Orlando, FL 32816 USA
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2009年 / 33卷 / 8-9期
关键词：
Meshless methods; CFD; Upwinding; Limiters; Incompressible flows; DATA APPROXIMATION SCHEME; DIFFERENCE SCHEME; CONVECTION; FLUID; MULTIQUADRICS;
D O I：
10.1016/j.enganabound.2009.03.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The current paper reports on the development and validation of a localized collocation meshless method (LCMM) to model laminar incompressible flows. A high order upwinding scheme was devised to dampen the numerical oscillations arising in convection-dominated flows. Subsequently, the LCMM was analytically validated and demonstrated to yield third-order accurate solutions when compared to a benchmark analytical decaying vortex solution. Numerical validations are provided by comparison with the finite volume commercial (FVM) solver Fluent 6.2. The flow geometry for the numerical validation arises from a biomedical application that consists of modeling blood flow in the interconnection between a bypass graft and an artery. Very good agreement was found between the LCMM and the FVM. (C) 2009 Elsevier Ltd. All rights reserved.
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收藏
页码：1045 / 1061
页数：17
相关论文
共 52 条
[1]  
Anderson D.A., 1997, Computational Fluid Mechanics and Heat Transfer, V2nd ed.
[2]  
Atluri S.N., 2002, The Meshless Method
[3]   ELEMENT-FREE GALERKIN METHODS [J].
BELYTSCHKO, T ;
LU, YY ;
GU, L .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (02) :229-256
[4]  
Borris J.P., 1983, J COMPUT PHYS, V18, P248
[5]  
Buhmann MD., 2003, C MO AP C M, DOI 10.1017/CBO9780511543241
[6]  
CHAKRAVARTHY SR, 831943 AIAA
[7]   Local RBF-FD solutions for steady convection-diffusion problems [J].
Chandhini, G. ;
Sanyasiraju, Y. V. S. S. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 72 (03) :352-378
[8]   An efficient implicit mesh-free method to solve two-dimensional compressible Euler equations [J].
Chen, HQ ;
Shu, C .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2005, 16 (03) :439-454
[9]   Exponential convergence and H-c multiquadric collocation method for partial differential equations [J].
Cheng, AHD ;
Golberg, MA ;
Kansa, EJ ;
Zammito, G .
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2003, 19 (05) :571-594
[10]   A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids [J].
Chew, C. S. ;
Yeo, K. S. ;
Shu, C. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 218 (02) :510-548
123456