High order shock-capturing TENO (targeted ENO) schemes

linf1017

Maybe have a try of TENO (targeted ENO) schemes for your CFD solver.

The details can be found in:

https://www.researchgate.net/pro ... c-Conservation-Laws

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The reference source code of the fifth-order TENO schemes.

TENO.pdf (25.38 KB, 下载次数: 133)

2018-5-13 08:14 上传

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linf1017

Comparisons of high-order TENO schemes

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Fundmental differences between WENO and TENO scheme

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References of high-order TENO schemes by Dr. Lin Fu 傅林

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TENO schemes for implicit LES (ILES Lin Fu 傅林)

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MHD flow simulations with high-order TENO schemes, Lin Fu 傅林

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Thanks to the collaborative work of Haibo Dong, Fan Zhang and et al., we have extended the high-order TENO schemes to very complex detonation simulations, e.g. the two-dimensional detonation with TENO scheme.

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Comparisons between WENO and TENO schemes,

https://www.researchgate.net/pub ... h-order_TENO_scheme

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The latest version TENO8-A scheme for large eddy simulations:

A targeted ENO scheme as implicit model for turbulent and genuine subgrid scales

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

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My latest high-order TENO scheme for hyperbolic conservation laws is online

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

https://www.sciencedirect.com/sc ... S0021999118305047#!

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Thanks to the work of Prof. N.D. Sandham's group, the standard TENO5 and TENO6 scheme are employed to simulate transitional shock-boundary-laryer interaction. The performance of TENO schemes is verified.

http://www.iccfd.org/iccfd10/papers/ICCFD10-088-Paper.pdf

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Thanks to the work of Dr. Ory Haimovich, the TENO scheme is extended for 3D multi-phase simulation

http://www.delegia.com/app/data/ ... ETC16_Haimovich.pdf

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The latest references of TENO schemes from Lin Fu

linf1017

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.