Where can I find manufactured solutions for the 2d Euler equations, with the complete analytical terms, including the Jacobian of the source term ?
This 2004 paper by Roy et. al in Int. J. Numer. Meth. Fluids 2004; 44:599–620 (DOI: 10.1002/d.660) should contain exactly what you're looking for:
You can contact the authors to obtain a copy of the FORTRAN code for the source terms (and their derivatives), or generate them yourself using symbolic manipulation software such as Mathematica.
Another paper by the same authors:
You can find information about Manufactured solutions in this repository. Particularly,
That have the codes in this GitHub repository.
MASA (Manufactured Analytical Solution Abstraction) is a library written in C++ (with C, python and Fortran90 interfaces) which provides a suite of manufactured solutions for the software verification of partial differential equation solvers in multiple dimensions. Example formulations include:
Euler Equations (with and without thermal equilibrium chemistry)
Reynolds Averaged Navier Stokes with Various Turbulence Models