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What is the total variation of a flow variable (Φ) at a particular time step t?(a) TV^t=∏iΦi+1-Φi(b) TV^t=∫n Φndn(c) TV^t=∑iΦ(i+1)Φi(d) TV^t=∑iΦ(i+1)ΦiThe question was asked in an internship interview.My question comes from High Resolution Schemes topic in section High Resolution Schemes of Computational Fluid Dynamics

Answer»

Correct option is (d) TV^t=∑iΦ(i+1)Φi

Explanation: Total VARIATION is the SUMMATION of variations of the flow variable between two consecutive NODES. This is MATHEMATICALLY given as

TV^t=∑iΦi+1-Φi.



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