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We present the application of a micro/macro parareal algorithm for a 1-Denergy balance climate model with discontinuous and non-monotone coefficientsand forcing terms. The micro/macro parareal method uses a coarse propagator,based on a (macroscopic) 0-D approximation of the underlying (microscopic) 1-Dmodel. We compare the performance of the method using different versions of themacro model, as well as different numerical schemes for the micro propagator,namely an explicit Euler method with constant stepsize and an adaptive libraryroutine. We study convergence of the method and the theoretical gain incomputational time in a realization on parallel processors. We show that, inthis example and for all settings, the micro/macro parareal method converges infewer iterations than the number of used parareal subintervals, and that atheoretical gain in performance of up to 10 is possible.

A micro/macro parallel-in-time (parareal) algorithm applied to a climate model with discontinuous non-monotone coefficients and oscillatory forcing