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楼主: linf1017

High order shock-capturing TENO (targeted ENO) schemes

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 楼主| 发表于 2018-10-4 05:00:33 | 显示全部楼层
coolboy 发表于 2018-9-28 22:11
Thanks for sharing the information.
What is your opinion on the scheme by Colella and Woodward (Pie ...

Well. Piecewise Parabolic Method has been popular for many long time, particular for astrophysical simulations.

However, this type of schemes may still need some sort of adhoc operator for dicontinuity capturing,
e.g. see Eq.(3.2) in

https://cloudfront.escholarship. ... 07f1/qt5sr307f1.pdf

As far as I know, the ENO family scheme may be the state-of-the-art in terms of high-order accuracy, and sharp shock-capturing capability. The main drawback of previous version , e.g. WENO, is that they are typically very dissipative either.

This problem is greatly fixed by the concept of TENO.
发表于 2018-10-8 00:56:59 | 显示全部楼层
Thanks a lot.
 楼主| 发表于 2018-10-21 12:35:28 | 显示全部楼层
Recently, I propose low-dissipation finite-volume method based on a new TENO shock-capturing scheme:

https://www.sciencedirect.com/sc ... i/S0010465518303576
 楼主| 发表于 2018-11-10 16:01:10 | 显示全部楼层
The five-point and six-point TENO schemes are further improved to the performance limit of optimal linear schemes

https://www.researchgate.net/pub ... daptive_dissipation

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