Flow calculations in an unbounded domain have limitations and challenges due to its infiniteness. A common approach is to impose a far-field asymptotic condition to determine a unique flow. The leading behavior of the flow is identified at the far field, and then an unknown coefficient is assumed for the second behavior. This allows us to propose an efficient numerical method to solve two-dimensional steady Stokes and potential flows in a truncated domain along with the coefficients. The second term provides crucial hydrodynamic information for the flow and is referred to as the informative boundary condition. The truncation creates artificial boundaries requiring boundary conditions for the approximate solution. The axial Green function method (AGM), combined with a specific one-dimensional Green function over a semi-infinite axis-parallel line extended to infinity, allows us to implement the informative boundary condition in the truncated domain. AGMs, designed for complicated domains, are now applied to infinite domain cases because AGMs' versatility enables implementing the informative boundary condition by changing only the axial Green function. This approach's efficiency, accuracy, and consistency are investigated through several appealing Stokes flow problems including potential ones in infinite domains.

中文翻译：

---

使用轴向格林函数法计算具有信息边界条件的无界域斯托克斯流的高效数值方法

无界域中的流量计算由于其无限性而具有局限性和挑战。一种常见的方法是施加远场渐近条件来确定唯一的流。在远场处识别流动的主导行为，然后为第二行为假设未知系数。这使我们能够提出一种有效的数值方法来求解截断域中的二维稳定斯托克斯和势流以及系数。第二项提供了流动的关键流体动力学信息，被称为信息边界条件。截断创建了人工边界，需要近似解的边界条件。轴向格林函数方法（AGM）与延伸至无穷远的半无限轴平行线上的特定一维格林函数相结合，使我们能够在截断域中实现信息丰富的边界条件。AGM 专为复杂域设计，现在已应用于无限域情况，因为 AGM 的多功能性可以通过仅更改轴向格林函数来实现信息丰富的边界条件。通过几个有吸引力的斯托克斯流问题（包括无限域中的潜在问题）研究了这种方法的效率、准确性和一致性。