Finite volume methods for two-dimensional incompressible flows with complex boundaries

Schwarz domain decomposition for the incompressible Navier-Stokes equations in general co-ordinates

“…The domain is decomposed into a rectangular array of 2×2 blocks. We compare the solution 1 h , which is obtained by single-block solution (without extrapolation at internal corners), and the solution 2 h , which is obtained by the multi-block solution with the extrapolation procedure at the internal corners described above. The claim that we want to verify is that 2 h is just as accurate as 1 h or that…”

“…Methods mainly differ in grid arrangement (staggered or collocated grids), and in the choice of unknowns. Pioneering papers for the collocated grid approach are [1][2][3]; an interesting paper on the staggered grid approach is [4]. The various possible grid layouts and choice of primary dependent variables are reviewed in [5].…”

Colocated schemes for the incompressible Navier-Stokes equations on non-smooth grids for two-dimensional problems

“…In earlier publications, e.g. [1][2][3], this has been accomplished by what is called the two-point method or the TP method for short. It will be shown that this gives inaccurate results on non-smooth curvilinear grids.…”

Parametric Study of a Centrifugal Pump Impeller by Varying the Outlet Blade Angle

“…These algorithms apply either pressure based or density based methods for the solution of NavierStokes equations. Lakshminarayana [19], Rodi et al [20] and Thakur et al [21], provide a review of the techniques that are useful as an assessment of the state of the art.…”