A novel high-fidelity ghost-cell immersed boundary method for the Cartesian grid and its applications
For Cartesian grid,the object surface is cut with the mesh,giving the Cartesian grid non-body-fitted characteristics.The processing of boundary conditions is crucial for the fluid simulation of the Cartesian grid.In this study,a high-fidelity ghost-cell model has been established for the Cartesian mesh immersed boundary method.A compact interpolation stencil is used for the local reconstruction of variables near the exterior wall surface,and biquadratic interpolation is performed to improve the interpolation accuracy.According to different types of boundary conditions,a high-order polynomial of the surface boundary is constructed to obtain the flow field value of the ghost cell.Typical examples such as Prandtl-Meyer flow,supersonic cylindrical flow,forward-facing step problem,and flow around the NACA0012 airfoil show that the proposed method is compact,robust and scalable to different boundary conditions and achieves second order accuracy in L and L norms.
万方数据
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