Projection conditions on the vorticity in viscous incompressible flows
Projection conditions on the vorticity in viscous incompressible flows
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DOI：
10.1002/fld.1650010204
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发表时间：
1981-04
影响因子：
1.8
通讯作者：
L. Quartapelle;F. Valz-Gris
中科院分区：
文献类型：
--
作者：
L. Quartapelle;F. Valz-Gris
考虑了涡量输运方程的适当条件的建立问题。它表明，在粘性不可压缩流，速度的边界条件意味着条件的积分型涡。这些条件决定了涡量场在调和矢量场的线性流形上的投影。上述结果在二维计算的一些计算后果，通过非原始变量，流函数和涡，检查。作为一个例子的应用程序的离散模拟的投影条件，数值解的驱动腔问题的报告。
The problem of establishing appropriate conditions for the vorticity transport equation is considered. It is shown that, in viscous incompressible flows, the boundary conditions on the velocity imply conditions of an integral type on the vorticity. These conditions determine a projection of the vorticity field on the linear manifold of the harmonic vector fields. Some computational consequences of the above result in two-dimensional calculations by means of the nonprimitive variables, stream function and vorticity, are examined. As an example of the application of the discrete analogue of the projection conditions, numerical solutions of the driven cavity problem are reported.