解释亚临界流动中无粘伴随解在固体壁面附近缺乏网格收敛性的原因
Explaining the Lack of Mesh Convergence of Inviscid Adjoint Solutions Near Solid Walls for Subcritical Flows
AI总结：
本文针对无粘伴随解在壁面附近网格收敛失败的问题，通过对比数值与解析解，指出其源于壁面处解析解的奇点，并扩展至亚临界可压缩情形。
摘要：
数值求解伴随欧拉方程时，在多种流动条件和几何构型下，发现壁面附近的解随网格细化而发散。本文回顾了该问题，并通过将数值不可压缩伴随解与解析伴随解进行比较，提供了一种解释，表明数值计算中观察到的异常是由解析解在壁面处的发散引起的。导致这种发散的奇点与众所周知的沿来流滞止流线的奇点类型相同，两者都源于尾缘处的伴随奇点。该论证通过给出一个与不可压缩解结构相同的解析解，扩展至完全可压缩亚临界流动情形。
英文摘要：
Numerical solutions to the adjoint Euler equations have been found to diverge with mesh refinement near walls for a variety of flow conditions and geometry configurations. The issue is reviewed and an explanation is provided by comparing a numerical incompressible adjoint solution with an analytic adjoint solution, showing that the anomaly observed in numerical computations is caused by a divergence of the analytic solution at the wall. The singularity causing this divergence is of the same type as the well-known singularity along the incoming stagnation streamline and both originate at the adjoint singularity at the trailing edge. The argument is extended to cover the fully compressible case, in subcritical flow conditions, by presenting an analytic solution that follows the same structure as the incompressible one.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
