Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
In this paper, a comparison between h ig h e r order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order c...
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Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
AENSI Publishing Corporation
2009
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Subjects: | |
Online Access: | http://eprints.uthm.edu.my/7128/1/J14087_c8869f98803fea24dd3c8030745d5985.pdf http://eprints.uthm.edu.my/7128/ |
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Summary: | In this paper, a comparison between h ig h e r order schemes has been performed in terms of
numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme,
the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order
compact flowfie ld dependent variation (HOC-FDV) scheme are tested. The FDV scheme is used for
time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The
solution procedures c o n sist of a number of tri-diagonal matrix operations and produce an efficient
solver. The comparisons are performed u sin g one dimensional nonlinear viscous Burgers equation to
demonstrate the accuracy and the convergence characteristics o f the high-resolution schemes. The
numerical results show that HOC-FDV is highly accurate in co mparison with analytical and with other
higher order schemes. |
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