Abstract
A boundary integral formulation for the nonlinear aerodynamic analysis of three-dimensional full-potential transonic flows is presented. The emphasis here is on the analysis of the effects on the solution of artificial dissipation schemes, which are necessary in order to capture properly the physics of the phenomenon. The main novelty is the use of conservative schemes, never previously used in boundary integral formulations where all the existing approaches are based on non-conservative ones. The conservative scheme presented here is an adaptation of concepts used in the CFD community. Specifically, a linear dissipation term is added directly to the continuity equation: hence the name artificial mass-generation scheme. Both conservative and non-conservative full-potential expressions for the nonlinear terms are discussed. The corresponding TSP (transonic small perturbation) formulation are also analyzed. Numerical results, for two-dimensional steady flows are presented in order to assess the different schemes. Good agreement is obtained with existing finite-difference and finite-volume results.
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