【摘 要】
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In the paper,we study a high order numerical boundary scheme for solv-ing the complex moving boundary problem on a fixed Cartesian mesh,and numerically investig
【机 构】
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School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,China;Sou
论文部分内容阅读
In the paper,we study a high order numerical boundary scheme for solv-ing the complex moving boundary problem on a fixed Cartesian mesh,and numerically investigate the moving rigid body with the complex boundary under the impingement of an inviscid shock wave.Based on the high order inverse Lax-Wendroff (ILW) procedure developed in the previous work (TAN,S.and SHU,C.W.A high order moving boundary treatment for compressible inviscid flows.Journal of Computational Physics,230(15),6023-6036 (2011)),in which the authors only considered the translation of the rigid body,we consider both translation and rotation of the body in this paper.In particular,we reformulate the material derivative on the moving boundary with no-penetration condi-tion,and the newly obtained formula plays a key role in the proposed algorithm.Several numerical examples,including cylinder,elliptic cylinder,and NACA0012 airfoil,are given to indicate the effectiveness and robustness of the present method.
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