A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
In this paper, a single high-order compact flowfield-dependent variation (HOC-FDV) method is developed, valid for two�dimensional inviscid compressible as well as incompressible flow problems. The method has third-order accuracy in time and fourth�order accuracy in space. The FDV scheme is used fo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis
2010
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/7129/1/J14088_e8c83f0955f73e0dc97e1664e9fcdb86.pdf http://eprints.uthm.edu.my/7129/ https://doi.org/ 10.1080/15502287.2010.501322 |
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| Summary: | In this paper, a single high-order compact flowfield-dependent
variation (HOC-FDV) method is developed, valid for two�dimensional inviscid compressible as well as incompressible flow
problems. The method has third-order accuracy in time and fourth�order accuracy in space. The FDV scheme is used for time dis�cretization and the fourth-order compact Pade scheme is used for
spatial derivatives. The solution procedure consists of a number
of tri-diagonal matrix operations and produces an accurate solver.
Numerical examples are solved to demonstrate the accuracy and
convergence characteristics of the high-resolution scheme. The test
cases are flow over a compression corner, a channel flow with com�pression/expansion, and a flow past NACA 0012 airfoil. The numer�ical results show an excellent agreement with analytical and pub�lished numerical results and they clearly demonstrate the higher
accuracy of a single HOC-FDV scheme for both incompressible
and compressible flows. |
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