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Extreme Multi-Resolution Visualization : A Challenge on Many Levels

Accurate simulation of turbulent flows is a persistent problem, marked by the cost of directly resolving chaotic interactions between widely disparate scales. Energies interact between the largest bulk phenomena – the full aircraft, thrust chamber, or device of interest – down to the minute lengths where dissipative forces dominate. Applied cases easily encompass length and time scales ranging over six orders of magnitude for industrial combustors. Bulk statistical quantities can often suffice for design and analysis of some applications, such as aerodynamics; however, in rocket engines, mixing on the smallest scales drives combustion and is crucial for capturing the large scale dynamics which characterize stability and performance. In these cases, current computational approaches still fall short for predictive analysis: the difficulties in simultaneously capturing the large and small scales, and their interactions, significantly degrades capability and limits the utility of simulation in engineering design cycles. Multiresolution wavelet analysis is an emerging method for dynamically adaptive simulation. Especially applicable to turbulent flows, it has the ability to efficiently capture wide scale ranges at high accuracy by using multidimensional signal compression to identify intermittent coherent structures. A manycore algorithm was implemented targeting graphics processing units (GPUs) in order to take full advantage of developments in single instruction, multiple thread (SIMT) parallelism. In particular, GPUs offer high memory bandwidth that can be exploited by programs with well-coalesced access. Complimentary to this, an efficient algorithm was developed for mapping the implicit wavelet topologies for visualization. This system serves both polygonal representation approaches and a common infrastructure to interface with movie-quality rendering and animation packages.