Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems
In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order accurate in space and third order accurate in time. Four numerical problems; the nonlinear vis...
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| Main Authors: | , , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
Taylor & Francis
2010
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| 主題: | |
| 在線閱讀: | http://eprints.uthm.edu.my/7127/1/J14086_afa5189d98f747b677f2031d88965105.pdf http://eprints.uthm.edu.my/7127/ https://doi.org/10.1080/19942060.2010.11015330 |
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| 總結: | In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent
variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order
accurate in space and third order accurate in time. Four numerical problems; the nonlinear viscous Burger’s
equation, transient Couette flow, the shock tube (Sod problem) and the interaction of two blast waves are solved to
test the accuracy and the ability of the scheme to capture shock waves and contact discontinuities. The solution
procedure consists of tri-diagonal matrix operations and produces an efficient solver. The results are compared with
analytical solutions, the original FDV method, and other standard second order methods. The results also show that
HOC-FDV scheme provides more accurate results and gives excellent shock capturing capabilities. |
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