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Computing the Dirichlet--Neumann Operator on a Cylinder

Computing the Dirichlet--Neumann Operator on a Cylinder

The computation of the Dirichlet--Neumann operator for the Laplace equation is the primary challenge for the numerical simulation of the ideal fluid equations. The techniques commonly used for 2D fluids, such as conformal mapping and boundary integral methods, fail to generalize suitably to three dimensions. In this study, we address …