Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/14995
Title: Computational fluid simulation using meshless finite difference
Authors: CHEW CHOON SENG
Keywords: moving body, meshless method, projection method, finite difference, arbitrary Lagrangian-Eulerian, parallel computing
Issue Date: 3-Oct-2005
Citation: CHEW CHOON SENG (2005-10-03). Computational fluid simulation using meshless finite difference. ScholarBank@NUS Repository.
Abstract: A scheme using the mesh-free generalised finite differencing (GFD) on flows past moving solid bodies is proposed. The aim is to devise a method which can simulate flows past immersed moving bodies with reduced computational effort by minimizing remeshing requirements and extensive data interpolation. The generalised finite difference method (GFD) with weighted least squares (WLS) approximation was used to discretize the two-dimensional incompressible Navier-Stokes equations under the arbitrary Lagrangian-Eulerian (ALE) formulation on a cloud of meshfree nodes that convects with the moving solid boundary. Central-spaced finite differencing is applied to the background Cartesian nodes. The second-order Crank-Nicolson time discretization is adopted in the projection method and the pressure Poisson equation is solved to obtain divergence-free velocity field. A series of numerical experiments were conducted to establish the convergence and accuracy of this formulation. Extensive testings were also carried out on flow problems involving stationary and moving boundaries, such as flows past stationary and oscillating circular cylinders. Finally, the potential of the ALE-WLS-GFD scheme was further demonstrated on problems involving complex body geometries and trajectories, and on multiple bodies performing independent prescribed motions.
URI: http://scholarbank.nus.edu.sg/handle/10635/14995
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