Development of projection and artificial compressibility methodologies using the approximate factorization technique

Abstract

SUMMARYPredictions for two-dimensional, steady, incompressible flows under both laminar and turbulent conditions are presented. The standard k-c turbulence model is used for the turbulent flows. The computational method is based on the approximate factorization technique. The coupled approach is used to link the equations of motion and the turbulence model equations. Mass conservation is enforced by either the pseudocompressibility method or the pressure correction method. Comparison of the two methods shows a superiority of the pressure correction method. Second-and fourth-order artificial dissipation terms are used in order to achieve good convergence and to handle the turbulence model equations efficiently. Several internal and external test cases are investigated, including attached and separated flows.

Numerical Simulation of Unsteady Viscous Flows Using an Implicit Projection Method

“…Failure to satisfy (14) results in non-convergent iterative solutions for (131, because a solution does not exist. 20 The compatibility condition (14) is automatically satisfied on staggered grids. Solving the Poisson equations in a full conservative f01-m'~ and using the above-mentioned boundary conditions, full convergence of (1 3) is obtained although collocated gnds are used.…”

Numerical Simulation of Unsteady Viscous Flows Using an Implicit Projection Method

“…20 The compatibility condition (14) is automatically satisfied on staggered grids. The Poisson equation is solved under the following pressure boundary conditions.…”

Incompressible Roe‐like scheme for turbulent flows

“…Pentaris et al . presented predictions for two‐dimensional, steady incompressible flows in laminar and turbulent conditions. They used the standard k − ϵ model for turbulent flows.…”

“…They showed that the ACM based on CB is suitable for the solution of both steady and unsteady incompressible turbulent flows at medium Reynolds numbers. Pentaris et al [11] presented predictions for two-dimensional, steady incompressible flows in laminar and turbulent conditions. They used the standard k " model for turbulent flows.…”