Figure 4

Dissipation rate of the energy at the largest scales due to the turbulent cascade (not including direct dissipation by the numerical viscosity) as a function of resolution and for all of the schemes. The dissipation rate is normalized so as to be 1 in the limit of large Reynolds numbers/resolution. At 1283 points all of the schemes show an error of less than 10%, with the HLLC schemes already close to the 2% level.