Error analysis of upwind-finite volume method for compressible immiscible flow in porous media
Other Title(s)
تحليل الخطأ لطريقة أبوند-الحجوم المحددة للجريان المضغوط و غير الممتزج في الوسط المسامي
Dissertant
Thesis advisor
Comitee Members
Mizban, Hamidah O.
Ibrahim, Abd al-Nabi I.
al-Mayyahi, Nuri Farhan
University
University of Basrah
Faculty
Education of Science College
Department
Department of Mathematics
University Country
Iraq
Degree
Master
Degree Date
2010
English Abstract
In this thesis we consider the compressible immiscible flow in porous medium ( oil reservoir) which is governed by system of partial differential equation, one is the pressure equation and the other is saturation equation.
The pressure equation is approximated by mixed finite element method and the saturation equation is approximated by Galerkin-upwind finite volume method.
So we proved the convergent and discrete mass conservation law for the saturation equation and we found that the local truncation error is of order (t2 ) .
Main Subjects
Topics
No. of Pages
59
Table of Contents
Table of contents.
Abstract.
Chapter One : introduction.
Chapter Two : finite element spaces and mixed finite element method.
Chapter Three : the error analysis.
Conclusions, future works.
References.
American Psychological Association (APA)
Safar, Ala Kamil. (2010). Error analysis of upwind-finite volume method for compressible immiscible flow in porous media. (Master's theses Theses and Dissertations Master). University of Basrah, Iraq
https://search.emarefa.net/detail/BIM-317398
Modern Language Association (MLA)
Safar, Ala Kamil. Error analysis of upwind-finite volume method for compressible immiscible flow in porous media. (Master's theses Theses and Dissertations Master). University of Basrah. (2010).
https://search.emarefa.net/detail/BIM-317398
American Medical Association (AMA)
Safar, Ala Kamil. (2010). Error analysis of upwind-finite volume method for compressible immiscible flow in porous media. (Master's theses Theses and Dissertations Master). University of Basrah, Iraq
https://search.emarefa.net/detail/BIM-317398
Language
English
Data Type
Arab Theses
Record ID
BIM-317398
