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Old   June 19, 2012, 02:27
Default TVD algorithms
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Aniket Sachdeva
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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??
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Old   June 19, 2012, 02:29
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The short answer is: Yes. They are dissipative, that's the price to pay for stability.
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