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We present a communication- and data-sensitive formulation of ADER-DG forhyperbolic differential equation systems. Sensitive here has multiple flavours:First, the formulation reduces the persistent memory footprint. This reducespressure on the memory subsystem. Second, the formulation realises theunderlying predictor-corrector scheme with single-touch semantics, i.e., eachdegree of freedom is read on average only once per time step from the mainmemory. This reduces communication through the memory controllers. Third, theformulation breaks up the tight coupling of the explicit time stepping'salgorithmic steps to mesh traversals. This averages out data access peaks.Different operations and algorithmic steps are ran on different grid entities.Finally, the formulation hides distributed memory data transfer behind thecomputation aligned with the mesh traversal. This reduces pressure on themachine interconnects. All techniques applied by our formulation are elaboratedby means of a rigorous task formalism. They break up ADER-DG's tight causalcoupling of compute steps and can be generalised to other predictor-correctorschemes.

Stop talking to me -- a communication-avoiding ADER-DG realisation