Development of a pressure-based solver for both incompressible and compressible flows

Download
2007
Denk, Kerem
The aim of this study is to develop a two-dimensional pressure-based Navier-Stokes solver for incompressible/compressible flows. Main variables are Cartesian velocity components, pressure and temperature while density is linked to pressure via equation of state. Modified SIMPLE algorithm is used to achieve pressure-velocity coupling. Finite Volume discretisation is performed on non-orthogonal and boundary-fitted grids. Collocated variable arrangement is preferred because of its advantage on staggered arrangement in non-orthogonal meshes. Face velocities are calculated using Rhie-Chow momentum interpolation scheme to avoid pressure checkerboarding effect. The solver is validated by solving a number of benchmark problems.

Suggestions

Implementation of different flux evaluation schemes into a two-dimensional Euler solver
Eraslan, Elvan; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2006)
This study investigates the accuracy and efficiency of several flux splitting methods for the compressible, two-dimensional Euler equations. Steger-Warming flux vector splitting method, Van Leer flux vector splitting method, The Advection Upstream Splitting Method (AUSM), Artificially Upstream Flux Vector Splitting Scheme (AUFS) and Roe’s flux difference splitting schemes were implemented using the first- and second-order reconstruction methods. Limiter functions were embedded to the second-order reconstruc...
Development of an incompressible navier-stokes solver with alternating cell direction implicit method on structured and unstructured quadrilateral grids
Baş, Onur; Tuncer, İsmail Hakkı; Department of Aerospace Engineering (2007)
In this research, the Alternating Cell Direction Implicit method is used in temporal discretisation of the incompressible Navier-Stokes equations and compared with the well known and widely used Point Gauss Seidel scheme on structured and quadrilateral unstructured meshes. A two dimensional, laminar and incompressible Navier-Stokes solver is developed for this purpose using the artificial compressibility formulation. The developed solver is used to obtain steady-state solutions with implicit time stepping m...
Computation and analysis of spectra of large networks with directed graphs
Sarıaydın, Ayşe; Karasözen, Bülent; Jost, Jürgen; Department of Scientific Computing (2010)
Analysis of large networks in biology, science, technology and social systems have become very popular recently. These networks are mathematically represented as graphs. The task is then to extract relevant qualitative information about the empirical networks from the analysis of these graphs. It was found that a graph can be conveniently represented by the spectrum of a suitable difference operator, the normalized graph Laplacian, which underlies diffusions and random walks on graphs. When applied to large...
Efficient Analysis of Reflectarrays through the Use of Characteristic Modes
Ercil, Erdinc; Alatan, Lale; Aydın Çivi, Hatice Özlem (2015-05-17)
The aim of this study is to establish an efficient analysis method for reflectarrays with varying element sizes. The efficiency of the method relies on utilization of characteristic modes as macro basis functions, and thereby reducing the MoM matrix equation size dramatically. Although the reflectarrays on the focus of this study are comprised of differently sized elements, it was observed that, when same numerical characteristic mode is used to represent the current on all patches, the resultant approximat...
Parallel, navier-stokes computation of the flowfield of a hovering helicopter rotor
Geçgel, Murat; Özyörük, Yusuf; Department of Aerospace Engineering (2003)
The aim of this study is to extend a parallel Fortran90 code to compute three6dimensional laminar and turbulent flowfields over rotary wing configurations. The code employs finite volume discretization and the compact, four step Runge-Kutta type time integration technique to solve unsteady, thin6layer Navier6Stokes equations. Zero6order Baldwin6Lomax turbulence model is utilized to model the turbulence for the computation of turbulent flowfields. A fine, viscous, H type structured grid is employed in the co...
Citation Formats
K. Denk, “Development of a pressure-based solver for both incompressible and compressible flows,” M.S. - Master of Science, Middle East Technical University, 2007.