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Compact Moving Mesh Method for Gas Dynamics Equations

Thesis Info

Access Option

External Link

Author

Ch. , Maqbool Ahmad

Program

PhD

Institute

University of Engineering and Technology

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2011

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/622

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725749620

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The objective of this dissertation is to develop fourth order compact moving mesh method. This method is a hybrid of compact method and moving mesh method. The usual second order method becomes less suitable due to the increase of number of grid points to achieve the required accuracy. In this method, only three nodes are needed to yield a fourth order accuracy whereas other methods would have required five nodes and more computational effort to achieve the same accuracy. Compact moving mesh method is used to solve one dimensional gas dynamics equations. Compact method and moving mesh method are also reviewed in this dissertation. The results obtained by using compact moving mesh method are compared with the results determined by using second order finite difference method for gas dynamics equations.
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