HSMAC Method For Numerical Simulation Convective Heat Transfer

With development of science and technology, numerical methods are more widely usedto study fluid flow and heat transfer. Over the past20years, the rapid development ofcomputer hardware technologies provides a sound base for using numerical methods. Thusnumerical methods gradually become research tools supported by complete theories.This paper mainly focuses on HSMAC (Highly Simplified Marker And Cell) method forconvective heat transfer. It includes the introduction of the principle of HSMAC method, themethod of discretization, the treatment of boundary condition, the realization of HSMAC, andvalidations of HSMAC using typical fluid flow and heat transfer problems. After completingthese tasks, the flowing main results can be obtained.(1) The grid generation method used for HSMAC method is quite different from thatused for other numerical methods. In the grid system used in HSMAC method, a virtualboundary layer is expanded. In this method main points are determined firstly, the surfaces ofthe cells are determined secondly. These lead to that the mesh refinement process is based onthe virtual boundary. The grid will be zoomed in as uniform mesh and is perfectly matchedwith the physical model.(2) The pressure correction equation is solved by the second Newton--Raphson iterationalgorithm, rather than by solving the Poisson pressure correction equation.(3) Due to the virtual main points, in treatment of boundary condition, if the parametersare stored on the corresponding surface, then they will be applied directly, else, they willinterpolated to the virtual main points.(4) To validate the robust of HSMAC method, four fluid flow and heat transfer problems:natural convection in enclosure, natural convection in cylinder enclosure, fluid flow in thechannel between two parallel plates, free surface fluid flow of liquid bar are used to test themethod. It is found that the numerical results are quite reasonable.