Three-Dimensional Overset Adaptive-Grid Method for Compressible Flows.

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  • 圧縮性流れに対する三次元重畳・解適合格子法
  • アッシュクセイ ナガレ ニ タイスル 3ジゲン チョウジョウ カイテキゴウ コ

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A solution adaptive-grid method for three dimensional space is developed for compressible flows in this study. The present adaptive-grid method, proposed by one of the authors, uses a system of elliptic equations whose source terms, known as the control function, are associated with the weight functions of the flow derivatives. The adaptive grid method has been successfully applied to one-and two dimensional flow problems with two major improvements : the use of a modified flow property for the weight function and the introduction of a new overset adaptive-grid technique. In the present paper, we extend the method to three dimensions and demonstrate its applicability to three-dimensional supersonic flows with shock waves. First, the formulations for three dimensions are described and then the method is successfully applied to supersonic shock shock interactions. Next, the overset-grid concept is combined with the adaptive-grid method in three dimensions. The present three-dimensional overset adaptive-grid method is applied to the supersonic flow through a duct with compression ramps. It is shown that the present method is promissing for compressible flow problems, particularly shocked flows.

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