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According to the Godunov’s theorem, any linear monotonic scheme will be maximum ____________(a) first derivative(b) first-order accurate(c) second-order accurate(d) second derivativeI had been asked this question during an interview.The origin of the question is High Resolution Schemes topic in portion High Resolution Schemes of Computational Fluid Dynamics

Answer»

Right answer is (b) first-order accurate

The best I can EXPLAIN: GODUNOV theorem proved that any monotonic linear scheme cannot be higher-order. It will always be first order. THEREFORE, all the higher-order linear SCHEMES will be non-monotonic. This is why limiters are used to construct high resolution schemes.



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