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| Improvement and application of the local domain-free discretization method for numerical simulation of compressible flows |
| Received:December 04, 2008 |
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| DOI：10.7511/jslx20105022 |
| KeyWord:Non-boundary-conforming methods boundary conditions moving boundary compressible flows finite volume method |
| Author | Institution |
| 周春华 |
南京航空航天大学 空气动力学系,南京 |
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| Abstract: |
| This paper presents the improvement and application of the local domain-free discretization (DFD) method to solve the Euler equations in conservative form. The key of the discretization strategy of DFD is that the discrete form of governing equations at an interior point may involve some points outside the solution domain. By the approximate form of solution near the boundary, the flow variables at the exterior dependent points can be evaluated, and boundary conditions can also be imposed at the same time. Being different from the original local DFD, the Curvature-Corrected Symmetry Technique (CCST) is introduced in the construction of the approximate form of solution, and therefore the density and the velocity component tangential to the body, at the exterior dependent points, are determined respectively from the constant-entropy and constant-total-enthalpy relations. The Galerkin finite volume method is used for spatial discretization in the local DFD. Some numerical results for compressible flows over fixed and moving bodies are presented to validate the improvement in accuracy and the applicability of the present local DFD method. |