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

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?

Any guidance will be really helpful. Thank you.

Answer 1

[Yash Totla]

Check out the Robertson Problem. I think it is similar to the semi-explicit DAE like the one you provided.

Link

Answer 2

[Torsten]

The Euler equations are not thus easy to solve.

You should consult a book on numerical methods for the equations of gas dynamics.