High-order asymptotic methods provide accurate, analytic solutions to intractable potential problems.
High-order asymptotic methods provide accurate, analytic solutions to intractable potential problems.
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高阶渐近方法为棘手的潜在问题提供了准确的分析解决方案。
DOI：
10.1038/s41598-024-54377-2
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发表时间：
2024
影响因子：
4.6
通讯作者：
Wray AW
中科院分区：
文献类型：
--
作者：
Wray AW
研究了确定势源阵列密度和容量的经典问题。这对应于各种各样的物理问题，如静电电容、弹性静力学中的应力和液滴的蒸发。导出了一个渐近解，该解对具有非圆形足迹的任意阵列源（包括多边形足迹）给出了极好的精度。该解决方案通过实验和数值结果进行了广泛的验证。我们通过展示各种可能以快速，准确的方式解决的新可访问的经典问题来说明解决方案的力量。
The classical problem of determining the density and capacity of arrays of potential sources is studied. This corresponds to a wide variety of physical problems such as electrostatic capacitance, stress in elastostatics and the evaporation of fluid droplets. An asymptotic solution is derived that is shown to give excellent accuracy for arbitrary arrays of sources with non-circular footprints, including polygonal footprints. The solution is extensively validated against both experimental and numerical results. We illustrate the power of the solution by showcasing a variety of newly accessible classical problems that may be solved in a rapid, accurate manner.