A stabilized discontinuous galerkin method for the nonlinear advection-diffusion processes

Huseyin Tunc; Murat Sari

A stabilized discontinuous galerkin method for the nonlinear advection-diffusion processes

Huseyin Tunc
, Murat Sari

Yildiz Technical University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

2 Atıf (Scopus)

Özet

This article presents a hybridization of a local discontinu- ous Galerkin method (LDG) with the Ø method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed ux selection is extended to the generalized problem-dependent ux se- lection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L2 stability analysis. Two il- lustrative test problems are considered to demonstrate the effciency of the currently produced technique for both advection and diffiusion dom- inated processes.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	24-45
Sayfa sayısı	22
Dergi	Proceedings of the Institute of Mathematics and Mechanics
Hacim	47
Basın numarası	1
Yayın durumu	Yayınlandı - 2021
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2021, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.

Finansman

The first author would like to thank the Science Fellowships and Grant Pro- grammes Department of TUBITAK (BIDEB) for their support to his academic research. The first author would like to thank the Science Fellowships and Grant Programmes Department of TUBITAK (BIDEB) for their support to his academic research.

Finansörler
Department of TUBITAK
Programmes Department of TUBITAK

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "A stabilized discontinuous galerkin method for the nonlinear advection-diffusion processes",

abstract = "This article presents a hybridization of a local discontinu- ous Galerkin method (LDG) with the {\O} method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed ux selection is extended to the generalized problem-dependent ux se- lection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L2 stability analysis. Two il- lustrative test problems are considered to demonstrate the effciency of the currently produced technique for both advection and diffiusion dom- inated processes.",

keywords = "Advection-diffusion processes, Burgers equation, Hopf-cole transformation, Local discontinuous galerkin method, {\O}-method",

author = "Huseyin Tunc and Murat Sari",

year = "2021",

language = "English",

volume = "47",

pages = "24--45",

journal = "Proceedings of the Institute of Mathematics and Mechanics",

issn = "2409-4986",

publisher = "Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan",

number = "1",

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TY - JOUR

T1 - A stabilized discontinuous galerkin method for the nonlinear advection-diffusion processes

AU - Tunc, Huseyin

AU - Sari, Murat

PY - 2021

Y1 - 2021

N2 - This article presents a hybridization of a local discontinu- ous Galerkin method (LDG) with the Ø method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed ux selection is extended to the generalized problem-dependent ux se- lection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L2 stability analysis. Two il- lustrative test problems are considered to demonstrate the effciency of the currently produced technique for both advection and diffiusion dom- inated processes.

AB - This article presents a hybridization of a local discontinu- ous Galerkin method (LDG) with the Ø method to capture nonlinear behavior of the advection-diffusion processes. The predetermined fixed ux selection is extended to the generalized problem-dependent ux se- lection in the LDG algorithm. The derived technique has been shown to be unconditionally stable through the L2 stability analysis. Two il- lustrative test problems are considered to demonstrate the effciency of the currently produced technique for both advection and diffiusion dom- inated processes.

KW - Advection-diffusion processes

KW - Burgers equation

KW - Hopf-cole transformation

KW - Local discontinuous galerkin method

KW - Ø-method

UR - https://www.scopus.com/pages/publications/85104855840

M3 - Article

AN - SCOPUS:85104855840

SN - 2409-4986

VL - 47

SP - 24

EP - 45

JO - Proceedings of the Institute of Mathematics and Mechanics

JF - Proceedings of the Institute of Mathematics and Mechanics

IS - 1

ER -

A stabilized discontinuous galerkin method for the nonlinear advection-diffusion processes

Özet

Bibliyografik not

Finansman

Diğer Dosyalar ve Linkler

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Alıntı Yap