Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations

• Published in: Computer methods in applied mechanics and engineering Vol. 192; no. 7; pp. 941 - 954
• Main Authors: Shu, C, Ding, H, Yeo, K.S
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.01.2003; Elsevier
• Subjects: Computational methods in fluid dynamics; Computational techniques; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Mathematical methods in physics; Physics; 49; Radial basis function; Difference scheme; LU factorization; Meshless method; Natural convection; Two dimensional model; Numerical method; Incompressible fluid; Experimental study; Navier-Stokes equations; Finite difference method; Quadratures

Local radial basis function-based differential quadrature method is presented in detail in this paper. The method is a natural mesh-free approach. Like the conventional differential quadrature (DQ) method, it discretizes any derivative at a knot by a weighted linear sum of functional values at its n...