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Quadtree mesh system is developed for simulating two-dimensional unsteady, viscous and incompressible flows with heat transfer. Mesh is refined according to object geometries and where the gradient of physical value is larger than the threshold value. Mesh is coarsened where the gradient of physical value is smaller than the threshold value. The fractional volume of fluid (VOF) approach based on the finite volume method (FVM) is employed to reconstruct object surfaces with accuracy. Calculation results of heat flow simulation around a cylinder is in good accordance with experimental results.

Computational Fulid Dynamics with Heat Transfer Using Adaptively Refined and Coarsenend Cartesian Mesh