Implicit immersed boundary ghost cell method for problems of viscous incompressible fluid flow in complex domains
Mathematics. Physics. Mechanics
Аuthors
*, **Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
*e-mail: vvinnikov@list.ru
**e-mail: reviznikov@inbox.ru
Abstract
In the present article a modification of immersed boundary method for numerical solution of transport problems in domains with curvilinear boundaries is proposed. Cartesian grid finite difference method for solving Navier-Stokes equations for viscous incompressible flows is considered. Implicit extrapolation procedure for approximation of boundary conditions at curvilinear boundary is applied. Numerical solution of test problem for flow in symmetric channel with smooth expansion is carried out. Obtained results are validated by comparison with high precision results, taken as "exact".Download