Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
In this paper, a comparison between higher order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the explicit fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) method and high order compact flowfie...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
INSI Publications
2009
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/1/Comparison_of_High-order_Accurate_Schemes_for_Solving_the_Nonlinear_Viscous.pdf |
| Summary: | In this paper, a comparison between higher order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the explicit fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) method and high order compact flowfie ld dependent variation (HOC-FDV) scheme are tes ted. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures consist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed using one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics of the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in comparison with analytical and with other higher order schemes. |
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