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标题: High order shock-capturing TENO (targeted ENO) schemes [打印本页]

作者: linf1017 时间: 2018-4-13 08:23
标题: High order shock-capturing TENO (targeted ENO) schemes
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

作者: linf1017 时间: 2018-5-13 08:14
The reference source code of the fifth-order TENO schemes.

TENO.pdf (25.38 KB, 下载次数: 133)

作者: linf1017 时间: 2018-5-27 06:33
Comparisons of high-order TENO schemes

作者: linf1017 时间: 2018-6-3 06:19
Fundmental differences between WENO and TENO scheme

作者: linf1017 时间: 2018-6-10 07:33
References of high-order TENO schemes by Dr. Lin Fu 傅林

作者: linf1017 时间: 2018-6-17 10:10
TENO schemes for implicit LES (ILES Lin Fu 傅林)

TENO schemes for implicit LES (ILES Lin Fu 傅林).jpg

作者: linf1017 时间: 2018-6-21 04:18
MHD flow simulations with high-order TENO schemes, Lin Fu 傅林

作者: linf1017 时间: 2018-6-26 01:32
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.
Numerical-schlieren-of-two-dimensional-detonation-TENO-scheme-on-grid-A.jpg

Numerical-schlieren-of-two-dimensional-detonation-TENO-scheme-on-grid-A.jpg

作者: linf1017 时间: 2018-7-2 11:55
Comparisons between WENO and TENO schemes,

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

作者: linf1017 时间: 2018-7-6 09:15
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

作者: linf1017 时间: 2018-8-4 05:46
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#!

作者: linf1017 时间: 2018-8-6 03:02
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

作者: linf1017 时间: 2018-8-13 05:01
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

作者: linf1017 时间: 2018-9-28 12:44
The latest references of TENO schemes from Lin Fu

作者: coolboy 时间: 2018-9-28 22:11
Thanks for sharing the information.
What is your opinion on the scheme by Colella and Woodward (Piecewise Parabolic Method), for P. Colella is also at UC Berkeley.

作者: linf1017 时间: 2018-10-4 05:00

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.

作者: coolboy 时间: 2018-10-8 00:56
Thanks a lot.

作者: linf1017 时间: 2018-10-21 12:35
Recently, I propose low-dissipation finite-volume method based on a new TENO shock-capturing scheme:

https://www.sciencedirect.com/sc ... i/S0010465518303576

作者: linf1017 时间: 2018-11-10 16:01
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

作者: linf1017 时间: 2019-1-8 07:39
I propose "A hybrid method with TENO based discontinuity indicator for hyperbolic conservation laws" :

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

which reduces the computational costs of TENO scheme significantly.

1. With the observation that the TENO weighting strategy can explicitly distinguish smooth scales from nonsmooth scales in spectral space, in this paper, a new troubled-cell indicator is proposed based on the high-order TENO paradigm.
2. The cut-off wavenumber separating smooth and nonsmooth scales is determined by the parameter C_T. In contrast to the thresholds of other troubled-cell indicators, which are typically defined in physical space, C_T takes effects in wavespace rendering its high generality.
3. The local flow structures are classified as smooth or nonsmooth scales, and the hybrid numerical discretization scheme is applied correspondingly, i.e. the high-order upwind linear scheme without characteristic decomposition is employed for resolving smooth scales while the nonlinear low-dissipation TENO scheme is adopted to capture discontinuities.
4. A set of benchmark cases with widespread length-scales is simulated to assess the performance of the proposed troubled-cell indicator and the resulting hybrid shockcapturing scheme.
5. The parameter is not tuning for all simulations.

作者: linf1017 时间: 2019-3-9 03:09
One review about High-order TENO Schemes for Hyperbolic Conservation Laws can be found in

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

作者: 与子同袍 时间: 2019-5-10 20:45
不错，学习一下

作者: linf1017 时间: 2019-5-25 02:17
Thanks to the work of Nico Fleischmann, the low-dissipation property of TENO schemes is demonstrated with extreme resolution simulations and the symmetry breaking issue has been addressed:

https://www.sciencedirect.com/sc ... i/S0045793018308399

e.g.

TENO scheme

作者: linf1017 时间: 2019-6-12 06:19
The low dissipation TENO6 scheme for Rotor Wake simulations
Thanks to the work of Constantin Oehrle, the low-dissipation TENO6 scheme has been implemented in the DLR block structured finite-volume Reynolds-averaged Navier-Stokes (RANS) CFD code FLOWer. The performance is impressive (in their paper called WENO6 scheme):

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

作者: 政科新 时间: 2019-7-4 22:38

作者: 政科新 时间: 2019-7-4 22:38
学习学习

作者: linf1017 时间: 2019-8-28 08:38
The Mach number 2000 jets computed by the latest high-order shock-capturing TENO schemes:

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

https://www.sciencedirect.com/sc ... i/S0010465519302000

作者: linf1017 时间: 2020-1-15 02:52
I am happy that the high-order TENO shocking-capturing schemes have appeared in a well-known CFD book:

Computational Methods for Fluid Dynamics

https://www.springer.com/gp/book/9783319996912

作者: linf1017 时间: 2020-1-29 11:56
Open-source code OpenSBLI with TENO5, TENO6 and TENO8 scheme

Thanks to the work of Satya P. Jammy and David J. Lusher, the TENO5, TENO6 and TENO8 scheme have been implemented in the open-source code OpenSBLI , you are free to download and use
https://github.com/LMNS3d/opensbli

作者: linf1017 时间: 2020-3-15 06:19
A new hypersonic flow solver from Center for Turbulence Research at Stanford University is published. The solver is based on the sixth-order low-dissipation TENO6-A scheme for shock-capturing and the code is open-source:

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

https://www.sciencedirect.com/sc ... i/S0010465520300837

作者: linf1017 时间: 2020-6-19 02:17
Thanks to the work of Arash Hamzehloo and his team, the TENO schemes are demonstrated to perform significantly better than WENO for compressible wall-bounded turbulence:

https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.4879

作者: linf1017 时间: 2020-7-1 10:17
Glad to give an invited seminar talk on the high-order TENO schemes for general hyperbolic conservation laws and turbulent flows

High-order TENO schemes for general hyperbolic conservation laws and turbulent flows

作者: 周华 时间: 2020-7-1 13:21

linf1017 发表于 2020-7-1 10:17
Glad to give an invited seminar talk on the high-order TENO schemes for general hyperbolic conservat ...

讲的很好，很受启发

作者: linf1017 时间: 2020-7-2 02:04

周华发表于 2020-7-1 13:21
讲的很好，很受启发

感谢周老师的支持！

作者: linf1017 时间: 2021-2-12 14:17
Open-source codes based on the high-order TENO schemes for complex fluids:

OpenSBLI solver

Based on TENO5, TENO6 and TENO8

A framework for the automated derivation and parallel execution of finite difference solvers on a range of computer architectures.

Lusher, David J., Satya P. Jammy, and Neil D. Sandham. “OpenSBLI: Automated code-generation for heterogeneous computing architectures applied to compressible fluid dynamics on structured grids.” arXiv preprint arXiv:2007.14933 (2020).

Code repository, https://github.com/LMNS3d/opensbli

HTR solver

Based on TENO6-A

An open-source exascale-oriented task-based multi-GPU high-order code for hypersonic aerothermodynamics

Renzo, Mario Di; Fu, Lin; Urzay, Javier; “HTR solver: An open-source exascale-oriented task-based multi-GPU high-order code for hypersonic aerothermodynamics,” Computer Physics Communications, (2020): 107262.

TENO scheme and HTR solver have supported the DOE PSAAP 3 (Predictive Science Academic Alliance Program) project at Stanford University, link for psaap 3 at stanford.

Code repository, https://data.mendeley.com/datasets/9zsxjtzfr7/1

ALPACA solver

Based on TENO5

A MPI-parallelized C++ code framework to simulate compressible multiphase flow physics

Hoppe, Nils; Adami, Stefan; Adams, Nikolaus A. ; “A modular massively parallel computing environment for three-dimensional multiresolution simulations of compressible flows,” arXiv:2012.04385, (2020).

Code repository, https://gitlab.lrz.de/nanoshock/ALPACA

MPI-AMRVAC solver

Based on TENO5-A

MPI-AMRVAC: A Parallel Adaptive Mesh Refinement Framework

van der Holst, Bar, et al. “MPI-AMRVAC: MPI-adaptive mesh refinement-versatile advection code,” Astrophysics Source Code Library (2012): ascl-1208.

Code repository, https://github.com/amrvac/amrvac

作者: linf1017 时间: 2021-12-21 22:50
We are moving towards the next generation high-order low-dissipation TENO schemes for solving nonlinear PDEs, see our latest paper on Journal of Computational Physics:

A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation laws

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

https://www.sciencedirect.com/sc ... 21007944?via%3Dihub

作者: coolboy 时间: 2021-12-23 08:34

linf1017 发表于 2021-12-21 22:50
We are moving towards the next generation high-order low-dissipation TENO schemes for solving nonlin ...

Nice work and impressive numerical results!

“The weights w_k are computed dynamically by the TENO weighting strategy such that the Gibbs phenomenon in proximity to the discontinuities are avoided while the high-order accuracy in smooth regions is restored.”

This above statement looks very interesting but I have difficulty to figure out how it was implemented according to the statement while designing the schemes. “Gibbs phenomenon” involves spectral or Fourier expansion whereas the functional form near the shocks was assumed to be a polynomial form as shown by Eq. (6). Is this the central idea of avoiding the Gibbs phenomenon?

作者: linf1017 时间: 2021-12-23 14:36
The original idea of TENO is to avoid the Gibbs phenomenon by avoiding the reconstruction crossing the discontinuities.

In this new idea, the discontinuity is indeed resolved by the THINC scheme instead of capturing.

You can figure out the code implementation in a set of open-source codes based on TENO:

http://linfu.people.ust.hk/open-source-codes.html

作者: coolboy 时间: 2022-3-29 02:16

You might be interested in knowing the following blog article with my comments below because it mentioned Chi-Wang Shu（舒其望）who is an expert in your field.
I am not familiar with your field but I am curious and like to ask you a question and hopefully get your opinion on my question (if you do not mind to answer):

What do think on the academic aptitude on Chi-Wang Shu in comparison with Peter Lax? Suppose we scale the academic aptitude from 0 to 9 and put Peter Lax on level 7. Then, which level do you think will Chi-Wang Shu be placed on?

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谈谈世界顶尖科学家的排名榜
https://blog.creaders.net/u/9037/202203/429771.html

coolboy:
看到Jerrold E. Marsden的名字，书架上有他合著的几本书。他应该算是一位数学力学家。
问好博主。出过专著和教科书的作者一般都会有很高的引用率。然而，专著和教科书的出版其实并不用经过严格的审稿程序。
根据博主以前的博文推测，上列数学家以及他们的研究中，博主最熟悉的一位应该是Chi-Wang Shu（舒其望），属于计算数学。
对于绝大多数的应用工作者来讲，他们通常不大看原始论文，也不关心前沿发展，而是查看以及引用专著或教科书。舒其望教授研究领域的结果我其实也时常用到。但我常翻看、使用以及引用的相关文献则是这本书：Laney, C. B., 1998: Computational Gasdynamics. Cambridge Univ. Press, Cambridge, 613 pp.
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