Abstract
In this paper, a quadrature-free scheme of spline method for two-dimensional Navier-Stokes equation is derived, which can dramatically improve the efficiency of spline method for fluid problems proposed by Lai and Wenston (2004). Additionally, the explicit formulation for boundary condition with up to second order derivatives is presented. The numerical simulations on several benchmark problems show that the scheme is very efficient.
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Supported by the National Basic Research Program(2005CB32170X).
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Hu, Xl., Han, Df. Quadrature-free spline method for two-dimensional Navier-Stokes equation. Appl. Math. J. Chin. Univ. 23, 31–42 (2008). https://doi.org/10.1007/s11766-008-0105-4
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DOI: https://doi.org/10.1007/s11766-008-0105-4