A Numerical Procedure Based on 1D-IRBFN and Local MLS-1D-IRBFN Methods for Fluid-Structure Interaction Analysis

作者：Ngo Cong D; Mai Duy N; Karunasena W; Tran Cong T^*

来源：Computer Modeling in Engineering & Sciences, 2012, 83(5): 459-498.

• Fluid-structure interaction
• moving boundary
• transient analysis
• pseudo-time subiterative technique
• integrated radial basis function
• Cartesian grid

The partition of unity method is employed to incorporate the moving least square (MLS) and one dimensional-integrated radial basis 1D-IRBFN) techniques in a new approach, namely local MLS-1D-IRBFN or LMLS-1D-IRBFN. This approach leads to sparse system matrices and offers a high level of accuracy as in the case of 1D-IRBFN method. A new numerical procedure based on the 1D-IRBFN method and LMLS-1D-IRBFN approach is presented for a solution of fluid-structure interaction (FSI) problems. A combination of Chorin's method and pseudo-time subiterative technique is presented for a transient solution of 2-D incompressible viscous Navier-Stokes equations in terms of primitive variables. Fluid domains are discretised by using Cartesian grids. The fluid solver is first verified through a solution of mixed convection in a lid-driven cavity with a hot lid and a cold bottom wall. The structural solver is verified with an analytical solution of forced vibration of a beam. The Newmark's method is employed for the forced vibration analysis of the beam based on the Euler-Bernoulli theory. The FSI numerical procedure is then applied to simulate flows in a lid-driven open-cavity with a flexible bottom wall.

• 出版日期2012-2