Definitive Approach to calculating Order of Accuracy of a Method

brendan_CFD · October 5, 2017, 06:39

I'm looking to calculate the observed spatial and temporal order of accuracy of my Navier Stokes solver. However I'm struggling to find a paper/book that describes a definitive process for calculating the order of accuracy. A lot of the papers I read seem to have subtle differences in their approach e.g. relative vrs absolute L2 Norm.

Could someone please provide a source that details this process and discusses it in detail?

FMDenaro · October 5, 2017, 07:30

Using an exact solution allows you to evaluate the discretization error and I suggest to use the Linf norm on it. The L2 norm is sometime used too, but generally when you want to evaluate a more global convergence.
You can have a look for example at Chap.8 here https://www.scribd.com/document/2257...dall-J-Leveque

brendan_CFD · October 5, 2017, 07:35

Thanks very much for the quick reply, that's exactly what I was looking for!

October 5, 2017, 06:39	Definitive Approach to calculating Order of Accuracy of a Method	#1
brendan_CFD New Member Join Date: Oct 2017 Posts: 2 Rep Power: 0	I'm looking to calculate the observed spatial and temporal order of accuracy of my Navier Stokes solver. However I'm struggling to find a paper/book that describes a definitive process for calculating the order of accuracy. A lot of the papers I read seem to have subtle differences in their approach e.g. relative vrs absolute L2 Norm. Could someone please provide a source that details this process and discusses it in detail?

October 5, 2017, 07:30		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,768 Rep Power: 71	Using an exact solution allows you to evaluate the discretization error and I suggest to use the Linf norm on it. The L2 norm is sometime used too, but generally when you want to evaluate a more global convergence. You can have a look for example at Chap.8 here https://www.scribd.com/document/2257...dall-J-Leveque lcarasik likes this.

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October 5, 2017, 07:35		#3
brendan_CFD New Member Join Date: Oct 2017 Posts: 2 Rep Power: 0	Thanks very much for the quick reply, that's exactly what I was looking for!