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WENO methods in high-dimensions

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Old   March 15, 2017, 09:02
Default WENO methods in high-dimensions
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Selig
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Hi all,

I'm working on developing a multi-dimensional WENO code for solving compressible flows. I was curious if there was anything special, aside from more index management, to extend 1D WENO to 2D (and even 3D) WENO. To be specific, I'm looking to solve 2D Euler equations with 3rd order WENO. For the time being I'm working on a Cartesian grid with uniform spacing.

Link: 3rd-order WENO
https://math.la.asu.edu/~gardner/weno.pdf
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Old   October 16, 2017, 16:37
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Aranya Dan
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I have converted 1d code to 2d. All you have to do is calculate the derivatives once in x direction and once in y direction and add them together. Handling the CFL condition however is slightly different and something i am still looking into.
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