Figure 7.
Double logarithmic plot of the root-mean-square error (RMSE) (4.1) in the total energy (3.58) (a) and total entropy (b) against stepsize by comparing the two split GENERIC integrators introduced in this article with the third-order Runge–Kutta (RK3) method and the average discrete gradient (ADG) method with a total simulation time of Ts = 30 in a standard setting of two gas containers exchanging heat and volume as described in §4c. In this case, the separating wall oscillates around its equilibrium position (i.e. q = 1) with an associated period of Tp ≈ 2.0. The format of the plots is the same as in figure 2. (Online version in colour.)