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A general high order two-dimensional panel method

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Abstract 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.… Click to show full abstract

Abstract 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.

Keywords: order; method; two dimensional; high order; panel method

Journal Title: Applied Mathematical Modelling
Year Published: 2018

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