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Low Dissipative High Order Shock-Capturing Methods Using Characteristic-Based FiltersAn approach which closely maintains the non-dissipative nature of classical fourth or higher- order spatial differencing away from shock waves and steep gradient regions while being capable of accurately capturing discontinuities, steep gradient and fine scale turbulent structures in a stable and efficient manner is described. The approach is a generalization of the method of Gustafsson and Oisson and the artificial compression method (ACM) of Harten. Spatially non-dissipative fourth or higher-order compact and non-compact spatial differencings are used as the base schemes. Instead of applying a scalar filter as in Gustafsson and Olsson, an ACM like term is used to signal the appropriate amount of second or third-order TVD or ENO types of characteristic based numerical dissipation. This term acts as a characteristic filter to minimize numerical dissipation for the overall scheme. For time-accurate computations, time discretizations with low dissipation are used. Numerical experiments on 2-D vortical flows, vortex-shock interactions and compressible spatially and temporally evolving mixing layers showed that the proposed schemes have the desired property with only a 10% increase in operations count over standard second-order TVD schemes. Aside from the ability to accurately capture shock-turbulence interaction flows, this approach is also capable of accurately preserving vortex convection. Higher accuracy is achieved with fewer grid points when compared to that of standard second-order TVD or ENO schemes. To demonstrate the applicability of these schemes in sustaining turbulence where shock waves are absent, a simulation of 3-D compressible turbulent channel flow in a small domain is conducted.
Document ID
19980235999
Acquisition Source
Ames Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Yee, H. C.
(Research Inst. for Advanced Computer Science Moffett Field, CA United States)
Sandham, N. D.
(Queen Mary and Westfield Coll. London, United Kingdom)
Djomehri, M. J.
(Calspan Corp. Moffett Field, CA United States)
Date Acquired
August 18, 2013
Publication Date
May 1, 1998
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
RIACS-TR-98-11
Funding Number(s)
CONTRACT_GRANT: NCC2-1006
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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