A velocity decomposition approach for three-dimensional unsteady flow

被引:7
作者
Chen, Yang [1 ]
Maki, Kevin J. [1 ]
机构
[1] Univ Michigan, Dept Naval Architecture & Marine Engn, Ann Arbor, MI 48109 USA
关键词
Incompressible Navier Stokes equations; Helmholtz decomposition; Higher-order boundary element method; VISCOUS/INVISCID INTERACTION PROCEDURES; NUMERICAL SIMULATIONS; FORMULATION; RESISTANCE; EQUATIONS;
D O I
10.1016/j.euromechflu.2016.11.011
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A velocity decomposition method is developed for the solution of three-dimensional, unsteady flows. The velocity vector is decomposed into an irrotational component (viscous-potential velocity) and a vortical component (vortical velocity). The vortical velocity is selected so that it is zero outside of the rotational region of the flow field and the flow in the irrotational region can thus be solely described by the viscous-potential velocity. The formulation is devised to employ both the velocity potential and the Navier-Stokes-based numerical methods such that the field discretization required by the Navier-Stokes solver can be reduced to only encompass the rotational region of the flow field and the number of unknowns that are to be solved by the Navier-Stokes solver is greatly reduced. A higher-order boundary element method is used to solve for the viscous potential by applying a viscous boundary condition to the body surface. The finite-volume method is used to solve for the total velocity on a reduced domain, using the viscous-potential velocity as the boundary condition on the extent of the domain. The two solution procedures are tightly coupled in time. The viscous-potential velocity and the total velocity are time dependent due to the unsteadiness in the boundary layer and the wake. The solver is applied to solve three-dimensional, laminar and turbulent unsteady flows. For turbulent flows, the solver is applied for both Unsteady-Reynolds-Averaging-Navier-Stokes and Large-Eddy-Simulation computations. (C) 2016 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:94 / 108
页数:15
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