A way to optimize the WENO scheme by optimizing the coefficients of linear scheme

moon_light · June 1, 2012, 00:26

In classic WENO schemes, in smooth solution, the WENO will become linear scheme because the ideal coefficients are well designed. For example, as for fifth order WENO scheme the coefficients of the three linear scheme are 3/10,6/10,1/10. Today I　change the values of the coefficients. The solution of Shu-osher is much better. I am wondering whether has any reference done similar work before.ie. optimizing the coefficients? Thank you

Victor Mourão · November 27, 2012, 10:19

Hi, you have looked this paper
http://dl.acm.org/citation.cfm?id=1930236

There are a modification of smoothness indicator. Have other scheme call mapped WENO too.

June 1, 2012, 00:26	A way to optimize the WENO scheme by optimizing the coefficients of linear scheme	#1
moon_light New Member Moon Chen Join Date: May 2012 Posts: 7 Rep Power: 14	In classic WENO schemes, in smooth solution, the WENO will become linear scheme because the ideal coefficients are well designed. For example, as for fifth order WENO scheme the coefficients of the three linear scheme are 3/10,6/10,1/10. Today I　change the values of the coefficients. The solution of Shu-osher is much better. I am wondering whether has any reference done similar work before.ie. optimizing the coefficients? Thank you

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November 27, 2012, 10:19		#2
Victor Mourão New Member Victor Mourão Roque Join Date: Nov 2012 Location: São Paulo Posts: 3 Rep Power: 14	Hi, you have looked this paper http://dl.acm.org/citation.cfm?id=1930236 There are a modification of smoothness indicator. Have other scheme call mapped WENO too.