Ag. Striz et Wl. Chen, APPLICATION OF THE DIFFERENTIAL QUADRATURE METHOD TO THE DRIVEN CAVITY PROBLEM, International journal of non-linear mechanics, 29(5), 1994, pp. 665-670
Many numerical solutions have been obtained for the problem of a stead
y state flow of viscous incompressible fluid in a driven cavity. Unlik
e most finite difference methods (FDMs), the differential quadrature m
ethod (DQM) uses new iterative techniques for numerically solving the
Navier-Stokes equation without time-dependence. The DQM solves directl
y for the inhomogeneous biharmonic stream function, and the applicabil
ity of the method is demonstrated. The method of differential quadratu
re allows for simpler formulations and less computational effort compa
red with finite difference methods and leads to quite accurate results
for a coarse mesh model at low Reynolds number.