This paper reports the parallel implementation of adaptive mesh re nement within nite di erence ocean circulation models. The implementation is based on the model of MalleableTasks with ine ciency factor which allows a simple expression of the di erent levels of parallelism with a good e ciency. Our goal within this work was to validate this approach on an actual application. For that, we have implemented a load-balancing strategy based on the well-known level-by-level mapping. Preliminary experiments are discussed at the end of the paper.