A Combined Immersed Boundary Method for Flows with Scalar Transport

A solid volume fraction type immersed boundary method and a ghost cell immersed boundary method are combined for solving flows with scalar transport such as concentration of chemical species and heat. For solving the velocity field, the former immersed boundary method is applied, while for scalar transport, the latter immersed boundary method is applied. The proposed combined immersed boundary method is verified with some benchmark problems and successfully treats complicated geometries such as porous media with a structured mesh.