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thegodfather June 19, 2012 02:27

TVD algorithms
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.

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