Yapısal ve yapısal olmayan dörtgen çözüm ağlarında değişken hücre yönlü kapalı metod kullanan sıkıştırılamaz Navier-Stokes çözücü geliştirilmesi

In this research, the Alternating Cell Direction Implicit method is used in temporal discreti-sation of the incompressible Navier-Stokes equations and compared with the well known andwidely used Point Gauss Seidel scheme on structured and quadrilateral unstructured meshes.A two dimensional, laminar and incompressible Navier-Stokes solver is developed for this pur-pose using the artificial compressibility formulation. The developed solver is used to obtainsteady-state solutions with implicit time stepping methods and a third order data reconstruc-tion scheme (U-MUSCL) is added to obtain high order spatial accuracy. The Alternating CellDirections Implicit method and Point Gauss Seidel scheme is compared in terms of conver-gence iteration number and total computation time using test cases with growing complexity,including laminar flat plate, single and multi-element airfoil calculations. Both structured andquadrilateral unstructured grids are used in single element airfoil calculations. In these testcases, it is seen that a reduction between 13% and 20% is obtained in total computation timeivby usage of Alternating Cell Directions Implicit method when compared with the Point GaussSeidel method.Keywords: Alternating Cell Direction Implicit Method, Artificial Compressibility Method, HighOrder, U-MUSCL, Unstructured, Quadrilateral. 91