Towards Extreme-Scale Computing with High-Order Discontinuous Methods
Technical Report,15 May 2016,31 Dec 2019
UNIVERSITY OF KANSAS CENTER FOR RESEARCH INC. LAWRENCE United States
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Exa-scale computers are expected to appear in the next decade. State-of-the-art CFO algorithms used today will need a drastic overhaul to take advantage of the massively parallel exa-scale computers with mixed CPU and GPU architectures perhaps with hundreds of millions of compute cores. In the present project, we examine several critical issues important for scalability with high-order discontinuous methods, and develop algorithms balancing scalability, with accuracy, efficiency and robustness. The last decade has seen significant progresses on adaptive high-order CFO methods in many aspects, including new formulations, efficient time integration algorithms, hp-adaptations, shock-capturing, high-order mesh generation and visualization. Their potential has been demonstrated in computational aeroacoustics, large eddy simulation LES and direct numerical simulation DNS of vortex dominated turbulent flows at moderate Reynolds numbers.
- Computer Hardware
- Numerical Mathematics
- Fluid Mechanics