TVD algorithms

thegodfather · June 19, 2012, 02:27

It is said that a numerical algorithm must be Total Variation Diminishing type to prevent the occurence of numerical oscillations around discontinuities like shock waves. But should not the total variation remain large enough around a shock to capture it sharply? If we try to diminish the total variation will it not make the solution diffusive??

cfdnewbie · June 19, 2012, 02:29

The short answer is: Yes. They are dissipative, that's the price to pay for stability.

June 19, 2012, 02:27	TVD algorithms	#1
thegodfather New Member Aniket Sachdeva Join Date: Mar 2012 Posts: 21 Rep Power: 3	It is said that a numerical algorithm must be Total Variation Diminishing type to prevent the occurence of numerical oscillations around discontinuities like shock waves. But should not the total variation remain large enough around a shock to capture it sharply? If we try to diminish the total variation will it not make the solution diffusive??

Thread Tools
Show Printable Version Email this Page
Display Modes
Linear Mode Switch to Hybrid Mode Switch to Threaded Mode

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Nvd / tvd	MichiB	OpenFOAM	2	October 10, 2011 05:39
TVD ...	Questioner	Main CFD Forum	1	June 7, 2006 08:54
TVD	TVD	Main CFD Forum	0	November 17, 2005 11:25
TVD etc..	J. K.	Main CFD Forum	9	November 11, 2004 09:27
TVD Schemes	Matt Umbel	Main CFD Forum	1	January 25, 2000 04:21

June 19, 2012, 02:29		#2
cfdnewbie Senior Member cfdnewbie Join Date: Mar 2010 Posts: 442 Rep Power: 7	The short answer is: Yes. They are dissipative, that's the price to pay for stability.