Search or add a thesis

Advanced Search (Beta)
Home > Numerical Approximation of Classical and Relativistic Magnetohydrodynamics

Numerical Approximation of Classical and Relativistic Magnetohydrodynamics

Thesis Info

Access Option

External Link

Author

Sidrah Ahmed

Supervisor

Habil. Shamsul Qamar

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2011

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/1952

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726772505

Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

Join our Whatsapp Channel to get regular updates.

Similar


A wide range of phenomena related to solar physics, astrophysics and laboratory plasmas contain many features of magnetohydrodynamics (MHD). This thesis presents the numerical studies of classical and relativistic MHD models. In classical MHD, the two dimensional ideal MHD and the shallow water MHD equations are numerically investigated. The third model is a one-dimensional special relativistic MHD (SRMHD) system. These MHD systems are formed by coupling the Maxwell''s equations with the hydrodynamics equations. The simulation of relativistic MHD flows is more difficult due to flow near the speed of light and because of nonlinear relations between conserved and primitive variables. The proposed numerical methods include the space-time conservation element and solution element (CE/SE) method and the kinetic flux vector splitting (KFVS) scheme. In CE/SE solver, the conservation elements are used for calculating the flow variables only, while a central differencing procedure is used to approximate the derivatives of flow variables. The KFVS scheme is based on the direct splitting of macroscopic flux functions of the system. The MUSCL-type reconstruction technique is used to achieve the second order accuracy of the KFVS method. For the designed MHD codes, the projection method is used to satisfy the divergence-free constraint associated with the magnetic field. For validation and comparison, the central scheme is applied to the investigated models. The case studies of ideal MHD include the MHD Kelvin- Helmholtz instability, the MHD rotor problem, the MHD shock interaction with clouds, the blast wave problem and the very famous Orszag-Tang MHD turbulence problem. In the SRMHD case, the one-dimensional relativistic Riemann problems, the interaction of shock fronts, and the relativistic blast wave problems are studied. In all test cases, the suggested computational techniques produced accurate results efficiently.
Loading...
Loading...

Similar Books

Loading...

Similar Chapters

Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...

وہ مجھ سے بیزار بڑا ہے

وہ مجھ سے بے زار بڑا ہے
دل ہے کہ اُس سے خوش رہتا ہے

ساتھ نہیں ہے دُور کھڑا ہے
ننگے پائوں کانچ چُبھا ہے

میرا قصور تو بس اتنا ہے
میں نے تجھ سے پیار کیا ہے

دل کیا جانے بھولا بھالا
رشتوں میں جو زہر گُھلا ہے

اَفلاطون کہے شاعر پر
حُسن کی دیوی کا پہرا ہے

میں شاعر وہ حُسن کی دیوی
اَفلاطون بھی سچ کہتا ہے

پیار اگر یَک طَرفہ ہو تو
پَل پَل کا جینا مَرنا ہے

سنا ہے مدہوشی میں شب بھر
اُس نے میرا نام لیا ہے

وہ تجھ کو کیوں یاد کرے گا
صادقؔ وہ مصروف بڑا ہے

مولانا ثناء اللہ امرتسری كی تفسیر ثنائی كا اجمالی جائزہ

Tafseer-e-Sanai is a briefexagies of Holy Quran which was written by Montana Sana Ullah Amratsari (D: 1 948) . It has eight short volumes but has been separated in two compilations the first one hasfour volumes (1-4) <£ the second one (5-8) has also four volumes. First edition was published in 1313. Hijri & had been completed in 1349 Hijri i. e in 1931. This work was completed in 36 years. First volume ofthis tafseer was published in the life time ofSir Syed Ahmed Khan, but also it was sent to him. That's why in its early volumes, there were so many answers in response to Sir Syed's thoughts. It is worth mentioning that Moulana Amratsari has responded in a good manner to Sir Syed. Moulana was affiliated with the sect of Ahle-Hadees but after attaining the education from different institutions several ofsects like, Darul Uloom Deoband Madarsa-e-Kanpur, (i. e Deobandi & Brailvi) , Moulana had been freedfrom any single sect. He is known as a scholar of Islam, this tafseer is a witness of it. The Style & method of writing Tafseer is very unique that is why its style was adopted by a known scholar, Moulana Ashraf Ali thanvi and Moulana Abdul Qadeer Siddiqi's translation was also inspired by it. The Quranic letters ( are mentioned with meanings in it and 28 translations of are also determined in different places in the beginning ofSurah.

The Role of Professional Development Teachers Pdt in Whole School Development Programme

Recently, the majority of literature on school effectiveness and school improvement, has tend to focus on whole school issues and whole school approaches to improve students' outcomes. The idea of whole school improvement approach was emerged after long time researches on the reasons of failure of different school improvement projects that worked in piecemeal, and in fragmented approaches to school reform. Meanwhile, researchers continue to pursue better understandings of how, whole school improvement can be achieved in order to foster the improvement of schools as per the students, outcomes. Reflecting on these international efforts, it is surprisingly that little is known about how external facilitators facilitate play a major role and use activities when working with schools, what challenges they face and which strategies they use. This research study explored, complexity of the role of professional development teachers (as external facilitators) by presenting case study of the role of PDTs in the whole school improvement programme, in the northern area Pakistan. This research paper describes the strategies and activities used by PDTs when working with the schools. Further, this research study discusses some outcomes of the work of PDTs after one year of intervention. Furthermore, this research study identified some of the factors that restricted or supported the role of the PDTs in both government and community school context. Lastly, there are suggestions and recommendations, which needs to be worked on, for the improvement, of the work of PDTs in facilitating the whole school improvement programme. Though the research conducted on the northern area of Pakistan, the findings are mostly applicable to the context of the developing countries. The contextual realities such as lack of resources, unavailability of fund and cultural barriers are few factors affecting the school improvement program, throughout the developing countries.