Computational Fluid Dynamics with Heat Transfer using Adaptively Refined and Coarsened Cartesian Mesh

Abstract

We developed quad-tree mesh system to simulate two-dimensional unsteady, viscous and incompressible flows with heat transfer. The mesh is adaptively refined according to object geometries or the gradient of physical value. Furthermore, the mesh is adaptively coarsened where the gradient of physical value is smaller than the threshold value. The fractional volume of fluid approach based on the finite volume method is employed to express object boundaries. Calculation results of coefficient of dragging force on a cylinder is in good accordance with experimental results.