移動衝撃波を含む流れにおける重畳格子法の内挿誤差

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  • On the Errors at Grid Interface of Overset Grid Method in a Moving Shock-Wave Problem.
  • イドウ ショウゲキハ オ フクム ナガレ ニ オケル チョウジョウ コウシホウ

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The overset grid method has been successfully applied to a wide range of steady-flow computations with sufficient accuracy. For unsteady compressible flows, however, there exist serious problems at the grid interface of the overset grid due to nonconservation of flow variables caused by an inherent interpolation procedure. The errors defined by the difference between the exact shock speed and the numerical one are investigated in detail in this paper when the one-dimensional shock-wave moves across the grid interface of the overset grid with various shock speeds. Numerical results show that the shock is slowed down or speeded up at the grid interface nearly in proportion to the ratio of the subgrid and main grid spacings. When relative shock speed to grid is close to zero, the shock wave cannot proceed past the grid interface. An important conclusion is that the overset grid method for unsteady compressible flows needs careful treatment at the grid interface.

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