ENO/Flux limiting/Godunov scheme

Wen

Hi,

for u_t+ f(u,...,)_x = s(x,t) kind of problems.

Is there any ENO/flux liming/Godunov type of scheme that deos not rely on Rieman solver for eigen values, yet strictly upwind?

More precisely, any upwind scheme that doens't really depend on how the flux function is related to the dependent variable? I ask this because f(u,...,) may be very complicated, and I don want to have a scheme that are specific to certain form of f() and leaves no way to modify f() substantially without changing the scheme.

Lax-wendorff, MacCormack, Lax-Friedrich schemes are not wanted here.

Thanks,

Wen