Abstract
To enhance accuracy in a high-order flow solver with an overset grid method, a high-order interpolation method was developed based on finite volume method in the Euler equations. To improve stability when calculating a nonlinear discontinuity with the high-order interpolation, the interpolation was combined with a multidimensional limiting process to remove oscillatory phenomena. Thus, the proposed method can be robustly applied to a discontinuous region as well as a continuous one. It was compared with conventional methods using test cases, thereby verifying its accuracy and efficiency. It can be extendable to the Navier―Stokes equations without any modification, even though it was tested in the Euler equations in the present paper.
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