WENO methods in high-dimensions

selig5576 · March 15, 2017, 10:02

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

crazyshock · October 16, 2017, 17:37

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.

March 15, 2017, 10:02	WENO methods in high-dimensions	#1
selig5576 Senior Member Selig Join Date: Jul 2016 Posts: 213 Rep Power: 11	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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October 16, 2017, 17:37		#2
crazyshock New Member Aranya Dan Join Date: Oct 2017 Posts: 19 Rep Power: 9	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.