Using of the ghost-cell immersed boundary method together with multigrid method to solve problems for viscous incompressible fluid flows

Аuthors

Vinnikov V. V.^*, Kadyshev V. V., Reviznikov D. L.^**

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

An application of the ghost-cell immersed boundary is discussed to model viscous incompressible fluid flows for regions with complicated boundaries. An approach is suggested to solve problems arising in regard to cooperative using of the submerged bound technique and the multigrid technique to solve Navier-Stokes equations on non-staggered Cartesian grids. A laminar flow within a diffuser are examines as an example. A close fit is demonstrated between results of the example and corresponding reference data as well as high efficiency of the approach.