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|Title:||A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids|
Generalized finite difference
|Source:||Chew, C.S., Yeo, K.S., Shu, C. (2006-11-01). A generalized finite-difference (GFD) ALE scheme for incompressible flows around moving solid bodies on hybrid meshfree-Cartesian grids. Journal of Computational Physics 218 (2) : 510-548. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2006.02.025|
|Abstract:||A scheme using the mesh-free generalized finite differencing (GFD) on flows past moving bodies is proposed. The aim is to devise a method to simulate flow past an immersed moving body that avoids the intensive remeshing of the computational domain and minimizes data interpolation associated with the established computational fluid methodologies; as such procedures are time consuming and are a significant source of error in flow simulation. In the present scheme, the moving body is embedded and enveloped by a cloud of mesh-free nodes, which convects with the motion of the body against a background of Cartesian nodes. The generalized finite-difference (GFD) method with weighted least squares (WLS) approximation is used to discretize the two-dimensional viscous incompressible Navier-Stokes equations at the mesh-free nodes, while standard finite-difference approximations are applied elsewhere. The convecting motion of the mesh-free nodes is treated by the Arbitrary Lagrangian-Eulerian (ALE) formulation of the flow equations, which are solved by a second-order Crank-Nicolson based projection method. The proposed numerical scheme was tested on a number of problems including the decaying-vortex flow, external flows past moving bodies and body-driven flows in enclosures. © 2006 Elsevier Inc. All rights reserved.|
|Source Title:||Journal of Computational Physics|
|Appears in Collections:||Staff Publications|
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