Unified formulation for incompressible flows

Implicit/multigrid algorithms for incompressible turbulent flows on unstructured grids

“…(11) and (12) contain the variable (and therefore ), the steady-state solution has a dependency on , where larger values correspond to increased dissipation. 32 Numerical experiments have indicated that this influence is small for values of below approximately 100. Also, since large values of correspond to large values of , if is chosen to be very large, there is a wide disparity in the magnitudes of the eigenvalues.…”

A primitive variable, strongly implicit calculation procedure for two and three-dimensional unsteady viscous flows: applications to compressible and incompressible flows including flows with free surfaces

“…Recently, a new time accurate, primitive variable approach has become more and more popular for solving incompressible flows [19], [20], [21]. This method is known as the artificial compressibility method^ and was initially proposed by Chorin [22] for steady flow cal culations.…”

“…More recently, investigators [19], [20], [21] have suggested that the procedure can be made accurate with respect to time by considering the time-like variable appearing in the fictitious time term added to the continuity equation to be a pseudotime. For each physical time step, the pseudotime is advanced several increments in an iterative fashion.…”

Computational physical oceanography -- A comprehensive approach based on generalized CFD/grid techniques for planetary scale simulations of oceanic flows. Final report, September 1, 1995--August 31, 1996

“…Pan and Chakravarthy [26] have shown that for the form of the incompressible flow equations used in this study the Roe average turns out to be just the simple arithmetic average. Equation (5.3.1) can be used to find the flux at cell center i+l in terms of the flux at i.…”