How to solve a set of DAEs with multiple dependent differential variables

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Aditya Kumar
Aditya Kumar 2019-7-5
回答： Torsten 2019-7-5
Hello Guys,
I have a set of 4 differential equations (Conservation Equations) along with some algebraic equations related to gas dynamics for a flow in a nozzle.
I am facing difficulties in solving the set of DAEs as the differential equations contains more than one dependent variable. Is there any predefined function for these equations? Or how should I proceed?
Differential Equations.png
Any guidance will be really helpful. Thank you.

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回答（2 个）

Yash Totla
Yash Totla 2019-7-5
Check out the Robertson Problem. I think it is similar to the semi-explicit DAE like the one you provided.
Link
Torsten
Torsten 2019-7-5
The Euler equations are not thus easy to solve.
You should consult a book on numerical methods for the equations of gas dynamics.

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