Direct solution of Navier-Stokes equations by radial basis functions
Abbreviated Journal Title
Appl. Math. Model.
meshless method; radial basis functions; Navier-Stokes equations; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPUTATIONAL FLUID-DYNAMICS; DATA; APPROXIMATION SCHEME; COLLOCATION METHOD; MESHLESS; INTERPOLATION; MULTIQUADRICS; MECHANICS; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications; Mechanics
The pressure-velocity formulation of the Navier-Stokes (N-S) equation is solved using the radial basis functions (RBF) collocation method. The non-linear collocated equations are solved using the Levenberg-Marquardt method. The primary novelty of this approach is that the N-S equation is solved directly, instead of using an iterative algorithm for the primitive variables. Two flow situations are considered: Couette flow with and without pressure gradient, and 2D laminar flow in a duct with and without flow obstruction. The approach is validated by comparing the Couette flow results with the analytical solution and the 2D results with those obtained using the well-validated CFD-ACE (TM) commercial package. (c) 2007 Published by Elsevier Inc.
Applied Mathematical Modelling
"Direct solution of Navier-Stokes equations by radial basis functions" (2008). Faculty Bibliography 2000s. 269.