Adaptive differential quadrature element refinement analyses of fluid mechanics problems

The differential quadrature element method (DQEM) has been proposed. The el ement weighting coefficient matrices are generated by the differential quad rature (DQ) or generic differential quadrature (GDQ). By using the DQ or GD Q technique and the mapping procedure the governing differential or partial differential equations, the transition conditions of two adjacent elements and the boundary conditions can be discretized. The overall algebraic equa tion system can be obtained by assembling all of the discretized equations. This method can convert a generic engineering or scientific problem having an arbitrary domain configuration into a computer algorithm. The DQEM anal ysis can be carried out by the adaptive refinement procedure. The developme nt of adaptive DQEM refinement analysis procedure for fluid mechanics probl ems is carried out. Numerical results are presented. (C) 1999 Elsevier Scie nce S.A. All rights reserved.