A class of TVD scheme was developed by Sweby where a flux limiter is added to the Second Order Upwind (SOU) schemes differencing scheme to prevent the formation of oscillations in the scalar field.
I am interested by the CFL restriction of these scheme in the context of the explicit forward euler time integration.
One important property of the SOU discussed by Leonard  is that even-order upwind schemes have a two times wider stability interval than odd-order ones. Thus, SOU is stable at the extended interval 0 < CFL < 2.
Question : Are there any TVD scheme based on SOU that also preserve stability for CFL < 2 or more ?
Thanks for your help !
 P. K. Sweby. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal of Numerical Analysis, 21(5):995?1011, 1984.
 Leonard, B. P. Stability of explicit advection schemes. The balance point location rule. Int. J. Numer. Meth. Fluids 38, 471 ?514, 2002.