Nonlinear Comparison of High-order and Optimized Finite-difference Schemes |
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| Authors: | R HIXON |
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| Institution: | Institute for Computational Mechanics in Propulsion (ICOMP) , NASA Glenn Research Center, Cleveland, OH, 44135, USA |
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| Abstract: | The effect of reducing the formal order of accuracy of a finite-difference scheme in order to optimize its high-wavenumber performance, is investigated using the 1-D nonlinear unsteady inviscid Burgers' equation. Both explicit and compact schemes are compared to schemes wilh various levels of optimization. Results are given for the absolute and L2 errors as a function of time. It is found that the benefits of optimization do carry over into nonlinear applications. |
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| Keywords: | Computational acroacoustics high-order finite-differences dispersion relation preserving sehemes nonlinear wave propagation |
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