Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation
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 accu�racy in time and fourth-order in space. The spatial deri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis
2015
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/7130/ http://eprints.uthm.edu.my/7130/1/J14089_7438c7796d962f8da4e27072dcc4ac1d.pdf |
| 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 accu�racy 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) Her�mitian (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 exam�ples are tested to examine the accuracy and capability of the new
scheme to capture the shock and to simulate accurately separation
and discontinuity |
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