A general high order two-dimensional panel method
Provides a more accurate and efficient tool for aerodynamic design, though incremental in nature.
Developed a quadrature-free, high-order panel method for airfoil design, achieving improved accuracy and efficiency over standard methods.
We develop an efficient and high order panel method with applications in airfoil design. Through the use of analytic work and careful considerations near singularities our approach is quadrature-free. The resulting method is examined with respect to accuracy and efficiency and we discuss the different trade-offs in approximation order and computational complexity. A reference implementation within a package for a two-dimensional fast multipole method is distributed freely.