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WENO schemes in REEF3D

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Old   July 25, 2022, 10:23
Default WENO schemes in REEF3D
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Xin Wang
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Hi there,

While I was checking the UserGuide of REEF3D and testing the code, I noticed there are 2 WENO5 schemes in REEF3D, namely WENO5-HJ and WENO5-FLUX. It is appreciated if you could let me know the difference between them, and if there is any paper I can get more details of these two schemes.

Many thanks,
Xin
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Old   August 3, 2022, 08:55
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Arun Kamath
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Hi Xin Wang,

WENO HJ- more suitable for level set equations following
Jiang, G. S., & Peng, D. (2000). Weighted ENO schemes for Hamilton--Jacobi equations. SIAM Journal on Scientific computing, 21(6), 2126-2143.

WENO Flux- conservative formulation more suitable for momentum equations following
Jiang, G. S., & Shu, C. W. (1996). Efficient implementation of weighted ENO schemes. Journal of computational physics, 126(1), 202-228.


Based on that we use by default D 10 4 (WENO Flux for momentum equations)
F 35 5 (WENO HJ for level set)

Hope that helps.
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Old   August 3, 2022, 09:10
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Xin Wang
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Quote:
Originally Posted by kamath View Post
Hi Xin Wang,

WENO HJ- more suitable for level set equations following
Jiang, G. S., & Peng, D. (2000). Weighted ENO schemes for Hamilton--Jacobi equations. SIAM Journal on Scientific computing, 21(6), 2126-2143.

WENO Flux- conservative formulation more suitable for momentum equations following
Jiang, G. S., & Shu, C. W. (1996). Efficient implementation of weighted ENO schemes. Journal of computational physics, 126(1), 202-228.


Based on that we use by default D 10 4 (WENO Flux for momentum equations)
F 35 5 (WENO HJ for level set)

Hope that helps.
Hi Kamath, thank you very much! That helps me a lot.
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