[peter2010300009]

Hello, everyone !
I am now do the research about numerical combustion with WENO scheme, and I want to apply generalized coordinate system to my code, but I encountered a problem. The problem is shown as bellow
The Euler equation in generalized coordinate system is


(∂Q)/(∂t)+(∂E)/(∂ξ)+(∂F)/(∂η)+(∂G)/(∂ζ)=ω
where


Q=Q/J

ω=ω/J


E=1/J(ξx E+ξy F+ξz G)
F=1/J(ηx E+ηy F+ηz G)
G=1/J(ζx E+ζy F+ζz G)
And how to get the left eigenvectors and right eigenvectors of matrix A=(∂E)/(∂Q) ? Can you share your experience to me ? Any reply will be appreciated !