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The Riemann invariants are constant along the characteristic line.(a) True(b) FalseI got this question by my college director while I was bunking the class.I would like to ask this question from Philosophy of Method of Characteristics topic in section Numerical Techniques for Steady Supersonic Flow of Aerodynamics

Answer»

Correct choice is (a) True

Best EXPLANATION: Riemann invariants are obtained by integrating the TWO compatibility equations obtained along the CHARACTERISTIC LINES C+ and C–. These are as follows:

J+ = u + ∫\(\frac {dp}{ρa}\) = const

J– = u – ∫\(\frac {dp}{ρa}\) = const

J+ and J– are hence constant along the characteristic lines.



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