无滑移边界条件的正交、螺线管、三维矢量场
Orthogonal, solenoidal, three-dimensional vector fields for no-slip boundary conditions
摘要:
粘性流体动力学计算需要无滑移边界条件。湍流的数值计算以及理论湍流闭合技术通常依赖于流场的谱分解。然而,这种计算仅限于二维情况。在这里,我们提出了一种方法,产生不可压缩的,三维流场的正交分解,并将其应用到周期性的圆柱形和球形无滑移边界。
英文摘要:
Viscous fluid dynamical calculations require no-slip boundary conditions. Numerical calculations of turbulence, as well as theoretical turbulence closure techniques, often depend upon a spectral decomposition of the flow fields. However, such calculations have been limited to two-dimensional situations. Here we present a method that yields orthogonal decompositions of incompressible, three-dimensional flow fields and apply it to periodic cylindrical and spherical no-slip boundaries.
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