非圧縮流れに対するゾンマーフェルト放射条件の対流速度の検討(数値計算(1),一般講演)

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This paper investigates the methods of determining the convective velocity of the Sommerfeld radiation condition for incompressible Navier-Stokes equations. The Sommerfeld radiation condition is a one-dimensional convective equation. The definition of its convective velocity is unclear and the selection of appropriate value for the convective velocity is a critical issue. Four decision methods of the convective velocity with finite difference method are considered: the mean velocity over the exit boundary, the arithmetic mean velocity of the maximum and the minimum velocities on the outflow boundary, the local instantaneous velocity, and the numerically evaluated convective velocity which is modified procedure of Orlanski. These methods are applied to two test problems for comparison. These are two Lamb dipoles traveling in a slow uniform flow and a two-dimensional impulsively starting jet flow. The numerical evaluated convective velocity produces minimum distortion and deformation of a vortex and provides no reflection.
日本流体力学会の論文
2010-09-09