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| Received:December 28, 2014 Revised:March 17, 2015 |
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| DOI：10.7511/jslx201603023 |
| KeyWord:full potential equation Cartesian grids finite volume method cut-cell Kutta condition no penetration condition grid adaptation |
| Author | Institution |
| 吕凡熹 |
南京航空航天大学 航空宇航学院, 南京 |
| 肖天航 |
南京航空航天大学 航空宇航学院, 南京 |
| 余雄庆 |
南京航空航天大学 航空宇航学院, 南京 |
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| Abstract: |
| In order to meet the requirements of rapid calculation of subsonic and transonic aerodynamics in aircraft conceptual design,a finite volume method for solving the full potential equation on adaptive Cartesian grids is proposed in this paper.This method has the following characteristics,(1) Cut-cell method is applied to process the surface boundary with cell-merging algorithm on geometry-adaptation Cartesian grids,and then the cut-cells on the wall boundary are modified for better body-fitted quality.(2) An implicit scheme with GMRES algorithm is employed to solve the nonlinear potential equation,and shock wave is captured by a solution-adaptation algorithm.(3) It uses ghost-cell method to treat the no penetration condition,and suggests a analytic method to modify the velocity-potential of ghost-cells.(4) According to the characteristics of the Cartesian grids,the Kutta condition is applied by appending Kutta-cells on the Kutta line.The numerical results of a NACA0012 airfoil show that the proposed method can provide satisfactory accuracy and rapid convergence in subsonic and transonic flow simulations with highly automatic grid treatment,indicating its valuable application in aircraft conceptual design. |
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