convergence of Euler Equations with WENO

Shyam

Hi,

I am using unstructured FV WENO scheme for Euler Equations. I saw that the convergence is very slow (though linear in log scale). Can this be explained by the lack of diffusion in the scheme and the code as such?

Am I right if I say WENO schemes have slower convergence (to steady state solutions) than the JST schemes (or others with artificial dissipation)?

For a 2D flow around RAE 2822 (M=0.729, alpha=2.31deg), I obtained 5 orders of convergence with a 3rd order WENO and Local Time stepping scheme. Is this convergence sufficient enough?

BTW, I use the density residuals for tracking convergence.

Thanks in advance for your suggestions.

Regards, Shyam