Comparison of High-order Accurate Schemes for Solving the Nonlinear Viscous Burgers Equation
نویسندگان
چکیده
Abstract: 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 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 c o n s is t of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed u s in g one dimens ional nonlinear viscous Burgers equation to demons trate the accuracy and the convergence characteris tics 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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