Three dimensional hyperbolic grid generation

Dinçgez, Umut Can
This thesis analyzes procedure of generation of hyperbolic grids formulated by two constraints, which specify grid orthogonality and cell volume. The procedure was applied on a wide range of geometries and high quality two and three dimensional hyperbolic grids were generated by using grid control and smoothing procedures, which supply grid clustering in all directions and prevent grid deformation (grid shock), respectively.


Design and analysis of ultrashort femtosecond laser amplifiers
Doğan, Ersin; Bilikmen, Kadri Sinan; Department of Physics (2006)
This thesis presents a compact femtosecond laser amplifier design for optical preamplifiers and power amplifiers consist of theoretical perspective, simulations to analyze and optimize beam performance. The propagation through optical media is simulated for every optical component such as mirrors and nonlinear crystal separately and suggested realignment of these components required increasing amplifier performance. Finally Gaussian beam propagation and aberration compensation has been conducted.
Two-mode probabilistic distance clustering
Caner, Yağmur; İyigün, Cem; Department of Industrial Engineering (2021-7-29)
Probabilistic Distance Clustering (PDC) is a soft clustering technique constructed around some axioms. It is a center-based approach and assigns each data point to multiple clusters with a membership probability. The PDC is applicable for one-mode data sets, where each data points’ quantitative or qualitative values over each feature are stored. This study focuses on PDC and consists of two main contributions. Firstly, the relevance of PDC to some other probabilistic models in the literature is examined. We...
Three dimensional frame element formulation for nonlinear analysis of semi rigid steel structures
Özel, Halil Fırat; Sarıtaş, Afşin; Karakaş, Zafer (null; 2016-09-21)
In this paper, a force-based three-dimensional frame finite element formulation with spread of inelasticity through the element and localized nonlinear semi-rigid connections is developed. The proposed model utilizes Euler-Bernoulli beam theory assumptions, and adopts fiber discretization of monitored sections along element length and section depth for the spread of inelasticity in order to capture axial force and biaxial bending moment interaction. Defining any type of semi-rigid either linear or nonlinear...
Korkmaz, Mustafa (2012-01-01)
We study the ideal triangulation graph T(S) of an oriented punctured surface S of finite type. We show that if S is not the sphere with at most three punctures or the torus with one puncture, then the natural map from the extended mapping class group of S into the simplicial automorphism group of T(S) is an isomorphism. We also show that, the graph T(S) of such a surface S. equipped with its natural simplicial metric is not Gromov hyperbolic. We also show that if the triangulation graph of two oriented punc...
Dynamical Gene-Environment Networks Under Ellipsoidal Uncertainty: Set-Theoretic Regression Analysis Based on Ellipsoidal OR
Kropat, Erik; Weber, Gerhard Wilhelm; Belen, Selma (2008-09-12)
We consider dynamical gene-environment networks under ellipsoidal uncertainty and discuss the corresponding set-theoretic regression models. Clustering techniques are applied for an identification of functionally related groups of genes and environmental factors. Clusters can partially overlap as single genes possibly regulate multiple groups of data items. The uncertain states of cluster elements are represented in terms of ellipsoids referring to stochastic dependencies between the multivariate data varia...
Citation Formats
U. C. Dinçgez, “Three dimensional hyperbolic grid generation,” M.S. - Master of Science, Middle East Technical University, 2006.