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
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.
