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IntroductionCase StudyKey LessonsCase Study - Computational Fluid Dynamics (CFD) using Graphics Processing UnitsAaron F. ShinnMechanical Science and Engineering Dept., UIUCSummer School 2009: Many-Core Processors for Science andEngineering Applications, ShinnCFD using GPUs1 / 30IntroductionCase StudyKey LessonsWhat is CFD? Computational Fluid Dynamics : solve governing equations offluid motionnumerically- Conservation of Mass (Continuity Equation)- Conservation of Momentum (Newton s 2nd Law)- Conservation of Energy (1st Law of Thermodynamics) Coupled set of nonlinear Partial Differential Equations (PDEs) Solution time can bevery long makes GPUs very ShinnCFD using GPUs2 / 30IntroductionCase StudyKey LessonsGeneral Governing EquationsConservation of Mass t+ u= 0Conservation of Momentum DuDt= p+ Conservation of Energy CpDTDt= TDpDt+ (k T) + viscous stress tensor: = ( ui xj+ uj xi)+ ij ( u)substantial derivative.

Introduction Case Study Key Lessons Case Study - Computational Fluid Dynamics (CFD) using Graphics Processing Units Aaron F. Shinn Mechanical Science and Engineering Dept., UIUC

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