External Potential Flow Around Multiple Aerofoils

TL;DR

This paper introduces a fast boundary integral equation method using the fast multipole technique for efficiently computing potential flow around multiple aerofoils, significantly reducing computational complexity.

Contribution

It presents a novel fast multipole-based iterative solution for potential flow around multiple aerofoils, improving computational efficiency over existing methods.

Findings

Achieves $O(nm\u2217 ext{log} n)$ computational complexity.

Demonstrates effectiveness through numerical examples.

Provides a scalable method for complex aerofoil configurations.

Abstract

This chapter present a fats boundary integral equation method for numerical computing of uniform potential flow past multiple aerofoils. The presented fast multipole-based iterative solution procedure requires only $O(nm\ln n)$ operations where $m$ is the number of aerofoils and $n$ is the number of nodes in the discretization of each aerofoil's boundary. We demonstrate the performance of our methods on several numerical examples.