Simulation of turbulent thermal convection in complicated domains

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To simulate turbulent flows in complicated enclosed three-dimensional domains a fast finite-volume high-order method is developed. In principle, the method is based on the Chorin–Temam scheme. The Poisson solver, which is applied to compute the pressure, uses the separation of variables together with capacitance matrix technique. The developed numerical method generally allows to use hexahedral computational meshes, which are non-equidistant in all three directions and non-regular in any two directions. The method was successfully used in three-dimensional Direct Numerical Simulations of turbulent high-Rayleigh-number thermal convection in cylindrical and parallelepiped domains with obstacles.

论文关键词:Turbulent flow simulations,Fast Poisson solver,Capacitance matrix technique,Direct numerical simulations,Finite-volume method,von Neumann stability,Turbulent thermal convection,Non-equidistant mesh,High order schemes

论文评审过程:Available online 7 August 2008.

论文官网地址:https://doi.org/10.1016/j.cam.2008.08.008