A general unstructured mesh generation algorithm with its use in CFD applications.

A discontinuous subgrid eddy viscosity method for the time-dependent Navier-Stokes equations Kaya Merdan, Songül (Society for Industrial & Applied Mathematics (SIAM), 2005-01-01) In this paper we provide an error analysis of a subgrid scale eddy viscosity method using discontinuous polynomial approximations for the numerical solution of the incompressible Navier-Stokes equations. Optimal continuous in time error estimates of the velocity are derived. The analysis is completed with some error estimates for two fully discrete schemes, which are first and second order in time, respectively.
A multiple criteria sorting approach based on distance functions Çelik, Bilge; Karasakal, Esra; İyigün, Cem; Department of Industrial Engineering (2011) Sorting is the problem of assignment of alternatives into predefined ordinal classes according to multiple criteria. A new distance function based solution approach is developed for sorting problems in this study. The distance to the ideal point is used as the criteria disaggregation function to determine the values of alternatives. These values are used to sort them into the predefined classes. The distance function is provided in general distance norm. The criteria disaggregation function is determined ac...
Development of a pressure-based solver for both incompressible and compressible flows Denk, Kerem; Sert, Cüneyt; Department of Mechanical Engineering (2007) 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 arrang...
A three dimensional numerical study on natural convection heat transfer from rectangular fins on a horizontal surface Mobedi, Moghtada; Yüncü, Hafit; Yücel, Birol; Department of Mechanical Engineering (1994)
Generalized finite differences for the solution of one dimensional elastic plastic problems of nonhomogeneous materials Uygur, Pelin; Tokdemir, Turgut; Department of Engineering Sciences (2007) In this thesis, the Generalized Finite Difference (GFD) method is applied to analyze the elastoplastic deformation behavior of a long functionally graded (FGM) tube subjected to internal pressure. First, the method is explained in detail by considering the elastic response of a rotating FGM tube. Then, the pressurized tube problem is treated. A long FGM tube with fixed ends (axially constrained ends) is taken into consideration. The two cases in which the modulus of elasticity only and both the modulus of e...

Citation Formats

B. K. Karamete, “A general unstructured mesh generation algorithm with its use in CFD applications.,” Ph.D. - Doctoral Program, Middle East Technical University, 1996.