Exact solutions of boundary integral equation arising in vortex methods for incompressible flow simulation around elliptical and Zhukovsky airfoils

Autor:	Ilia K. Marchevsky, Evgeniya Ryatina, Kseniia Kuzmina
Rok vydání:	2019
Předmět:	Airfoil Physics History Mathematical analysis Conformal map Wake Computer Science Applications Education Vortex Physics::Fluid Dynamics Exact solutions in general relativity Flow (mathematics) Incompressible flow Gravitational singularity
Zdroj:	Journal of Physics: Conference Series. 1348:012099
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/1348/1/012099
Popis:	The problem of 2D incompressible flow simulation around airfoils using vortex methods is considered. An exact solution for the boundary integral equation with respect to a free vortex sheet intensity at the airfoil surface line that arises in such problems is obtained. The exact solution is constructed for flows around elliptical and Zhukovsky airfoils using the theory of complex potentials and conformal mappings technique. It is possible to take into account the influence of singularities in the flow domain — point vortices which simulate vortex wake. The obtained exact solutions can be used to verify and estimate the accuracy of numerical schemes for the boundary integral equation solution: such procedure is also described in details.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fba2181421e0d4369a1086c26dfac6bf https://doi.org/10.1088/1742-6596/1348/1/012099 Zobrazit plný text záznamu