Incompressibility of the Leray-α model for wall-bounded flows
Incompressibility of the Leray-α model for wall-bounded flows
复制标题
壁面流动 Leray-α 模型的不可压缩性
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
K. Hanjalić
中科院分区：
文献类型：
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作者：
M. Reeuwijk;H. Jonker;K. Hanjalić
这项研究表明，Leray-α模型没有明确地强制过滤速度的无发散场。虽然这个条件在没有边界的情况下自动满足，但有界域需要额外的注意。它示出，无论是分析和通过模拟瑞利-贝纳德对流，过滤速度场的不可压缩性不能保证在目前的配方。几个建议，恢复过滤速度的不可压缩性，它表明，自由滑动的过滤速度的边界条件，保证不可压缩性域考虑。
This study shows that the Leray-α model does not explicitly enforce a divergence-free field for the filtered velocity. While this condition is automatically satisfied in the absence of boundaries, bounded domains require extra attention. It is shown, both analytically and through simulations of Rayleigh–Benard convection, that incompressibility of the filtered velocity field cannot be guaranteed in the current formulation. Several suggestions are made to restore the incompressibility of the filtered velocity, and it is shown that free-slip boundary conditions for the filtered velocity do guarantee incompressibility for the domain under consideration.