Development of a Flow Solver with Complex Kinetics on the Graphic Processing Units

摘要

The current paper reports on the implementation of a numerical solver on theGraphic Processing Units (GPU) to model reactive gas mixture with detailedchemical kinetics. The solver incorporates high-order finite volume methods forsolving the fluid dynamical equations coupled with stiff source terms. Thechemical kinetics are solved implicitly via an operator-splitting method. Weexplored different approaches in implementing a fast kinetics solver on theGPU. The detail of the implementation is discussed in the paper. The solver istested with two high-order shock capturing schemes: MP5 (Suresh, et al. (1997))and ADERWENO (Titarev, et al. (2005)). Considering only the fluid dynamicscalculation, the speed-up factors obtained are 30 for the MP5 scheme and 55 forADERWENO scheme. For the fully-coupled solver, the performance gain depended onthe size of the reaction mechanism. Two different examples of chemistry wereexplored. The first mechanism consisted of 9 species and 38 reactions,resulting in a speed-up factor up to 35. The second, larger mechanism consistedof 36 species and 308 reactions, resulting in a speed-up factor of up to 40.