Reduction of the Staircasing Error in Finite Methods by Using Transformation Media

Date

2012-08-23

Author

Kuzuoğlu, Mustafa

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

127
views

0
downloads

This paper presents a design technique for transformation media that aim to reduce staircasing errors occurring in the numerical solution of electromagnetic boundary value problems by finite methods. The main idea is to place transformation media within the computational domain adapted to the Cartesian grid, and to determine the material parameters by mapping the staircase-approximated boundary of the geometry to its original boundary. In this manner, both the staircasing error is reduced, and a uniform and easy-to-generate mesh can be used. This technique also allows the numerical modeling of any arbitrarily-shaped object by using a 'single' mesh and by changing only the constitutive parameters within the transformation media. Several numerical simulations are illustrated in the context of electromagnetic scattering problems.

URI

https://hdl.handle.net/11511/53187

Conference Name

Progress In Electromagnetics Research Symposium (PIERS)

Collections

Department of Electrical and Electronics Engineering, Conference / Seminar

Suggestions

OpenMETU
Core

Compensation of Temperature and Acceleration effects on MEMS Gyroscope Ali, Muhammad (2016-01-16) This paper shows temperature and acceleration effects on Micro-Electro-Mechanical-Systems (MEMS) gyroscope and a practical solution is presented to mitigate effect of these errors using different methods (Polynomial Curve fitting and Neural Networks). Compensation is performed on the output bias drift data acquired from different MEMS gyroscopes. Performance of compensation techniques is also presented in this study. This paper presents novelty of integrated compensation for both factors (temperature and ac...
Detection of component composition mismatch with axiomatic design Toğay, Cengiz; SUNDAR, Gayathri; Doğru, Ali Hikmet (2006-04-02) This paper presents a software component composition methodology based on Axiomatic Design theory and Design Structure Matrix. The methodology we propose helps overcome anomalies and functional problems such as deadlock. Our approach can be described in two steps. First, we decompose the system to detect coupled components by using the Design Structure Matrix. Secondly, we represent attribute and method dependencies of the coupled components to identify issues during software composition using Design Matrix...
SOLUTIONS OF LARGE-SCALE ELECTROMAGNETICS PROBLEMS USING AN ITERATIVE INNER-OUTER SCHEME WITH ORDINARY AND APPROXIMATE MULTILEVEL FAST MULTIPOLE ALGORITHMS Ergül, Özgür Salih; Gurel, L. (2010-01-01) We present an iterative inner-outer scheme for the efficient solution of large-scale electromagnetics problems involving perfectly-conducting objects formulated with surface integral equations. Problems are solved by employing the multilevel fast multipole algorithm (MLFMA) on parallel computer systems. In order to construct a robust preconditioner, we develop an approximate MLFMA (AMLFMA) by systematically increasing the efficiency of the ordinary MLFMA. Using a flexible outer solver, iterative MLFMA solut...
Efficient Three-Layer Iterative Solutions of Electromagnetic Problems Using the Multilevel Fast Multipole Algorithm Onol, Can; Ucuncu, Arif; Ergül, Özgür Salih (2017-05-19) We present a three-layer iterative algorithm for fast and efficient solutions of electromagnetic problems formulated with surface integral equations. The strategy is based on nested iterative solutions employing the multilevel fast multipole algorithm and its approximate forms. We show that the three-layer mechanism significantly reduces solution times, while it requires no additional memory as opposed to algebraic preconditioners. Numerical examples involving three-dimensional scattering problems are prese...
Adaptation of turbulence models to a navier-stokes solver Gürdamar, Emre; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2005) This thesis presents the implementation of several two-equation turbulence models into a finite difference, two- and three-dimensional Navier-Stokes Solver. Theories of turbulence modeling and the historical development of these theories are briefly investigated. Turbulence models that are defined by two partial differential equations, based on k-? and k-? models, having different correlations, constants and boundary conditions are selected to be adapted into the base solver. The basic equations regarding t...

Citation Formats

M. Kuzuoğlu, “Reduction of the Staircasing Error in Finite Methods by Using Transformation Media,” presented at the Progress In Electromagnetics Research Symposium (PIERS), Moscow, RUSSIA, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53187.