The accurate simulation of turbulence and the implementation of corresponding turbulence models are both critical to the understanding of the complex physics behind turbulent flows in a variety of science and engineer...The accurate simulation of turbulence and the implementation of corresponding turbulence models are both critical to the understanding of the complex physics behind turbulent flows in a variety of science and engineering applications.Despite the tremendous increase in the computing power of central processing units(CPUs),direct numerical simulation of highly turbulent flows is still not feasible due to the need for resolving the smallest length scale,and today’s CPUs cannot keep pace with demand.The recent development of graphics processing units(GPU)has led to the general improvement in the performance of various algorithms.This study investigates the applicability of GPU technology in the context of fast-Fourier transform(FFT)-based pseudo-spectral methods for DNS of turbulent flows for the Taylor–Green vortex problem.They are implemented on a single GPU and a speedup of unto 31x is obtained in comparison to a single CPU.展开更多
The rotational incremental pressure-correction(RIPC)scheme,described in Timmermans et al.[Int.J.Numer.Methods.Fluids.,22(1996)]and Shen et al.[Math.Comput.,73(2003)]for non-rotational Navier-Stokes equations,is extend...The rotational incremental pressure-correction(RIPC)scheme,described in Timmermans et al.[Int.J.Numer.Methods.Fluids.,22(1996)]and Shen et al.[Math.Comput.,73(2003)]for non-rotational Navier-Stokes equations,is extended to rotating incompressible flows.The method is implemented in the context of a pseudo Fourier-spectral code and applied to several rotating laminar and turbulent flows.The performance of the scheme and the computational results are compared to the socalled diagonalization method(DM)developed by Morinishi et al.[Int.J.Heat.Fluid.Flow.,22(2001)].The RIPC predictions are in excellent agreement with the DM predictions,while being simpler to implement and computationally more efficient.The RIPC scheme is not in anyway limited to implementation in a pseudo-spectral code or periodic boundary conditions,and can be used in complex geometries and with other suitable boundary conditions.展开更多
文摘The accurate simulation of turbulence and the implementation of corresponding turbulence models are both critical to the understanding of the complex physics behind turbulent flows in a variety of science and engineering applications.Despite the tremendous increase in the computing power of central processing units(CPUs),direct numerical simulation of highly turbulent flows is still not feasible due to the need for resolving the smallest length scale,and today’s CPUs cannot keep pace with demand.The recent development of graphics processing units(GPU)has led to the general improvement in the performance of various algorithms.This study investigates the applicability of GPU technology in the context of fast-Fourier transform(FFT)-based pseudo-spectral methods for DNS of turbulent flows for the Taylor–Green vortex problem.They are implemented on a single GPU and a speedup of unto 31x is obtained in comparison to a single CPU.
基金This work is partially supported by NSF grants CBET-0651788 and DMS-0915066.
文摘The rotational incremental pressure-correction(RIPC)scheme,described in Timmermans et al.[Int.J.Numer.Methods.Fluids.,22(1996)]and Shen et al.[Math.Comput.,73(2003)]for non-rotational Navier-Stokes equations,is extended to rotating incompressible flows.The method is implemented in the context of a pseudo Fourier-spectral code and applied to several rotating laminar and turbulent flows.The performance of the scheme and the computational results are compared to the socalled diagonalization method(DM)developed by Morinishi et al.[Int.J.Heat.Fluid.Flow.,22(2001)].The RIPC predictions are in excellent agreement with the DM predictions,while being simpler to implement and computationally more efficient.The RIPC scheme is not in anyway limited to implementation in a pseudo-spectral code or periodic boundary conditions,and can be used in complex geometries and with other suitable boundary conditions.
