Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Discontinuous Galerkin Finite Element Method Solutions of Euler Equations
Date
2019-09-18
Author
Güngör, Osman
Özgen, Serkan
Metadata
Show full item record
Item Usage Stats
87
views
0
downloads
Cite This
URI
https://hdl.handle.net/11511/82976
Conference Name
10th Ankara Internatıonal Aerospace Conference, 18 - 20 Eylül 2019
Collections
Unverified, Conference / Seminar
Suggestions
OpenMETU
Core
Discontinuous galerkin finite elements method with structure preserving time integrators for gradient flow equations
Sarıaydın Filibelioğlu, Ayşe; Karasözen, Bülent; Department of Scientific Computing (2015)
Gradient flows are energy driven evolutionary equations such that the energy decreases along solutions. There have been surprisingly a large number of well-known partial differential equations (PDEs) which have the structure of a gradient flow in different research areas such as fluid dynamics, image processing, biology and material sciences. In this study, we focus on two systems which can be modeled by gradient flows;Allen-Cahn and Cahn-Hilliard equations. These equations model the phase separation in mat...
Discontinuous Galerkin Methods for Convection Diffusion Equations with Random Coefficients
Çiloğlu, Pelin; Yücel, Hamdullah (null; 2019-09-11)
Partial differential equations (PDEs) with random input data is one of the most powerful tools to model oil and gas production as well as groundwater pollution control. However, the information available on the input data is very limited, which causes high level of uncertainty in approximating the solution to these problems. To identify the random coefficients, the well–known technique Karhunen Loéve (K–L) expansion has some limitations. K–L expansion approach leads to extremely high dimensional system...
Discontinuous Galerkin Methods for Unsteady Convection Diffusion Equation with Random Coefficients
Çiloğlu, Pelin; Yücel, Hamdullah (null; 2018-10-21)
Partial differential equations (PDEs) with random input data is one of the most powerful tools to model oil and gas production as well as groundwater pollution control. However, the information available on the input data is very limited, which cause high level of uncertainty in approximating the solution to these problems. To identify the random coefficients, the well–known technique Karhunen Loeve ` (K–L) expansion has some limitations. K–L expansion approach leads to extremely high dimensional systems wi...
Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models
Yücel, Hamdullah; BENNER, Peter (2013-11-11)
In this paper, convection-diffusion-reaction models with nonlinear reaction mechanisms, which are typical problems of chemical systems, are studied by using the upwind symmetric interior penalty Galerkin (SIPG) method. The local spurious oscillations are minimized by adding an artificial viscosity diffusion term to the original equations. A discontinuity sensor is used to detect the layers where unphysical oscillations occur. Finally, the proposed method is tested on various single- and multi-component prob...
Discontinuity, Nonlinearity, and Complexity
Alejaily, Ejaily Milad; Akhmet, Marat (2021-01-01)
We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing conditions which govern a relation between subsets of a metric space to build a porous self-similar structure. Examples are provided to confirm that the definition satisfies a large class of self-similar fractals. The new concepts create new frontiers for fractals and chaos investigations.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
O. Güngör and S. Özgen, “Discontinuous Galerkin Finite Element Method Solutions of Euler Equations,” presented at the 10th Ankara Internatıonal Aerospace Conference, 18 - 20 Eylül 2019, Ankara, Türkiye, 2019, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/82976.