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We conduct a detailed study of the performance effects of irregular communications patterns on the CM-2. We characterized the communications capabilities of the CM-2 under a variety of controlled conditions. In the process of carrying out our performance evaluation, we develop and make extensive use of a parameterized synthetic mesh. In addition we carry out timings with unstructured meshes generated for aerodynamic codes and a set of sparse matrices with banded patterns of non-zeros. This benchmarking suite stresses the communications capabilities of the CM-2 in a range of different ways. Our benchmark results demonstrate that it is possible to make effective use of much of the massive concurrency available in the communications network.