Implementation of a Monte Carlo method to a two-dimensional particle-in-cell solver using algebraic meshes

Tumuklu, Ozgur
Çelenligil, Mehmet Cevdet
Particle-in-cell (PIC) technique is a widely used computational method in the simulation of low density collisionless plasma flows. In this study, a new two-dimensional (2-D) electrostatic particle-in-cell solver is developed that can be applied to non-rectangular configurations.


Implementation of coordinate transformations in periodic finite-element method for modeling rough surface scattering problems
ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-05-01)
The coordinate transformation technique (with its current name of transformation electromagnetics) is applied to the finite-element method (FEM) with periodic boundary conditions for efficient Monte Carlo simulation of one-dimensional random rough surface scattering problems. In a unit cell of periodic structure, two coordinate transformations are used, one of which is a real transformation designed to model the rough surface with flat surface, and the other is a complex transformation used to design a perf...
Simulations on glow discharge: development and validation of one-dimensional kinetic model by particle in cell/monte carlo collision method
Tiryaki, Özgecan; Çakır, Serhat; Department of Physics (2019)
Numerical codes for glow discharge plasma simulations were developed by using Particle in Cell/Monte Carlo Collision (PIC/MCC) method. The model is one-dimensional in coordinate space and three-dimensional in velocity space (1d3v). A modification of Direct Simulation Monte Carlo (DSMC) method known as null-collision method was used for particle collisions. MPI and sub-cycling were used for speed up. The code was validated using benchmarks for capacitively coupled helium discharges and tested with three-dime...
Evaluation of effective elastic properties of honeycomb sandwich structures by optimization involving modal behavior
Çınar, Okan; Erdal Erdoğmuş, Merve; Kayran, Altan; Department of Mechanical Engineering (2014)
This thesis aims to develop an alternative approach which estimates the effective elastic properties of 2D orthotropic equivalent model of the honeycomb core material. For this purpose, 3D detailed finite element (FE) model of honeycomb structure, with the actual cell geometry and the face sheets, is used as the reference structure. Effective elastic properties of the equivalent 2D orthotropic model, representing the honeycomb core, are determined by means optimization. The objective function of the optimiz...
A Transformation Media Based Approach for Efficient Monte Carlo Analysis of Scattering From Rough Surfaces With Objects
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2013-03-01)
This paper presents a computational model that utilizes transformation-based metamaterials to enhance the performance of numerical modeling methods for achieving the statistical characterization of two-dimensional electromagnetic scattering from objects on or above one-dimensional rough sea surfaces. Monte Carlo simulation of the rough surface scattering problem by means of differential equation-based finite methods (such as finite element or finite difference methods) usually places a heavy burden on compu...
Development of a two-dimensional Navier-Stokes solver for laminar flows using cartesian grids
Şahin, Mehmet Serkan; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2011)
A fully automated Cartesian/Quad grid generator and laminar flow solver have been developed for external flows by using C++. After defining the input geometry by nodal points, adaptively refined Cartesian grids are generated automatically. Quadtree data structure is used in order to connect the Cartesian cells to each other. In order to simulate viscous flows, body-fitted quad cells can be generated optionally. Connectivity is provided by cut and split cells such that the intersection points of Cartesian ce...
Citation Formats
N. ŞENGİL, O. Tumuklu, and M. C. Çelenligil, “Implementation of a Monte Carlo method to a two-dimensional particle-in-cell solver using algebraic meshes,” NUKLEONIKA, pp. 313–316, 2012, Accessed: 00, 2020. [Online]. Available: