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

• Main Authors: Elfaghi, Abdulhafid M., Omar, Ashraf Ali, Asrar, Waqar
• Format: Article
• Language: English; English
• Published: Taylor & Francis 2015
• Subjects: TJ Mechanical engineering and machinery
• Online Access: 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; http://irep.iium.edu.my/50767/; http://www.tandfonline.com/doi/abs/10.1080/15502287.2015.1048386

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.