Comparison of Least-Squares Finite-Element Method and Pressure-Correction Finite-Volume Method for Three-Dimensional Lid-Driven Cavity Flow at Reynolds Number 100

Least-squares finite-element method (LSFEM) and pressure correction finite-volume method (SIMPLEC) were developed and applied to three- dimensional Navier-Stokes equations in this study. The three-dimensional lid-driven cavity flow at Reynolds number, Re, 100 was used as model problem for comparing the accuracy and performance of the two methods. Computed results showed the qualitative agreement between approximations of both methods. We found spurious oscillations existed for LSFEM approximations, whereas SIMPLEC based on the non-staggered computations with incorporation of Rhie and Chow interpolation was capable of resolving large variations without introducing spurious oscillations