비정렬 격자상에서 비압축성 유동해석을 위한 고차 완전 연동 음해법에 대한 연구 : High-Order Fully Coupled Implicit Algorithm for Solving Incompressible Flows on Unstructured Meshes
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A new and efficient high-order fully coupled implicit scheme is presented to solve the incompressible flows. The finite volume method with artificial compressibility and cell-centered upwind scheme is applied on unstructured meshes. The proposed scheme is focused on increasing two performances. The first, direct application of convective and viscous Jacobian matrix instead of approximated spectral radius of flux Jacobian is used for proposed fully coupled implicit LU-SGS scheme to increase the performance of convergence regardless of CFL number and time step. The second, it utilizes an efficient quadratic reconstruction algorithm to obtain the third-order accurate solution based on recursive operation of least-squares procedure to increase the performance of accuracy. Flow simulations and results of the proposed method using unstructured meshes for internal and external flow in two dimensions demonstrate its performances of accuracy and efficiency with easy grid generation using unstructured meshes.