TY  - EJOU
AU  - Ngo-Cong, D.  
AU  - Mai-Duy, N.  
AU  - Karunasena, W.  
AU  - Tran-Cong, T.  

TI  - Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 83
IS  - 3
SN  - 1526-1506

AB  - In this study, local moving least square - one dimensional integrated radial basis function network (LMLS-1D-IRBFN) method is presented and demonstrated with the solution of time-dependent problems such as Burgers' equation, unsteady flow past a square cylinder in a horizontal channel and unsteady flow past a circular cylinder. The present method makes use of the partition of unity concept to combine the moving least square (MLS) and one-dimensional integrated radial basis function network (1D-IRBFN) techniques in a new approach. This approach offers the same order of accuracy as its global counterpart, the 1D-IRBFN method, while the system matrix is more sparse than that of the 1D-IRBFN, which helps reduce the computational cost significantly. For fluid flow problems, the diffusion terms are discretised by using LMLS-1D-IRBFN method, while the convection terms are explicitly calculated by using 1D-IRBFN method. The present numerical procedure is combined with a domain decomposition technique to handle large-scale problems. The numerical results obtained are in good agreement with other published results in the literature.
KW  - Unsteady flow
KW  -  Burgers' equation
KW  -  square cylinder
KW  -  circular cylinder
KW  -  moving least square
KW  -  integrated radial basis function
KW  -  domain decomposition

DO  - 10.3970/cmes.2012.083.311