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基于流场方程的离散伴随优化理论和三维非结构网格,建立了网格自适应技术和目标函数误差修正方法。详细研究了用流动伴随变量进行目标函数的误差估计和修正技术,构造了适用于格心格式有限体积法的流场变量插值技术和网格单元剖分判据,初步实现了网格物面投影和空间单元优化,发展了适用于有限体积法的整套网格自适应方法。对NACA0012翼型和ONERA-M6机翼绕流进行了自适应数值模拟,并对升、阻力等目标函数进行了误差修正。数值结果表明,本文自适应方法能正确地捕捉到影响目标函数计算精度的敏感区域,网格自适应和误差修正两项技术显著提高了升、阻力等目标函数的计算精度。
Based on discrete adjoint optimization theory and three-dimensional unstructured grid of flow field equations, a grid adaptive technique and an objective function error correction method are established. In this paper, the error estimation and correction of the objective function using flow-dependent variables are studied in detail. The flow-field-variable interpolation technique and the mesh-unit meshing criterion which are suitable for the finite volume method with lattice-centric format are constructed. The mesh plane projection and Space unit optimization, the development of a complete set of grid adaptive method suitable for finite volume method. The numerical simulation of flow around NACA0012 airfoil and ONERA-M6 airfoil is carried out, and the error correction of the objective function such as lift and drag is carried out. The numerical results show that the adaptive method of this paper can correctly capture the sensitive areas that affect the calculation accuracy of the objective function. The grid adaptive and error correction techniques significantly improve the computational accuracy of the objective function such as lift and drag.