Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations

In this article, a new, higher-order accurate method, namely higher-order compact-flow field-dependent variation (HOC-FDV) method, has been developed to solve two-dimensional Navier-Stokes equations. The HOC-FDV scheme is of third-order accuracy in time and fourth-order in space. The spatial derivat...

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Bibliographic Details
Main Authors: Elfaghi, Abdulhafid M., Omar, Ashraf Ali, Asrar, Waqar
Format: Article
Language:English
English
Published: Taylor & Francis 2015
Subjects:
Online Access:http://irep.iium.edu.my/50767/
http://irep.iium.edu.my/50767/
http://irep.iium.edu.my/50767/
http://irep.iium.edu.my/50767/1/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation_SCOPUS.pdf
http://irep.iium.edu.my/50767/4/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation.pdf
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Summary:In this article, a new, higher-order accurate method, namely higher-order compact-flow field-dependent variation (HOC-FDV) method, has been developed to solve two-dimensional Navier-Stokes equations. The HOC-FDV scheme is of third-order accuracy in time and fourth-order in space. The spatial derivatives in the flow field-dependent variation (FDV) equations proposed by Chung are approximated using higher-order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrices which can be solved efficiently in a standard manner. Several numerical examples are tested to examine the accuracy and capability of the new scheme to capture the shock and to simulate accurately separation and discontinuity.