ICCM Conferences, The 8th International Conference on Computational Methods (ICCM2017)

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Optimized Compact Scheme with High Order of Accuracy Using Maximum Norm
Kaveh Fardipour, Kamyar Mansour

Last modified: 2017-08-14


Compact finite difference schemes have high order of accuracy and high numerical resolution. Because of such characteristics, these schemes are suitable for numerical simulation of multi-scale phenomena, like direct numerical simulation, large eddy simulation and computational aeroacoustics. In this paper, we intend to optimize pentadiagonal compact schemes with a seven point stencil, using maximum error norm with different error threshold. The second goal of this paper is to increase the order of accuracy of the optimized schemes, because optimized schemes with higher order of accuracy resolve large scales better than the lower order ones. Finally, by using numerical experiments, we investigate the order of accuracy and numerical resolution of the new optimized compact schemes.


Compact finite difference scheme, Optimized scheme, Numerical dispersion, Maximum norm, High resolution, Direct numerical simulation, Computational aeroacoustics

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