FINITE DIFFERENCE METHOD FOR SIMULATING PHONON HEAT TRANSPORT PROCESS
Chen Jianling1,2, Feng Yangde1
1 Computer Network Information Center, Department of High Performance Computing Technology and Application Development, CAS, Beijing 100190, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China
The Equation of Phonon Radiative Transfer is a differential-integral equation. The finite difference method is used to numerically solve the Equation of Phonon Radiative Transfer with boundary conditions. The Gauss-Seidel method and the finite difference discretization can be used to ensure stable numerical solutions. Through one-dimensional numerical simulation of the phonon heat transport process of Ge/Si/Ge film at room temperature and by using the diffuse mismatch interface model at the interface,it can evaluate the influence of the temperature along the normal direction of the film and the thickness ratio of the Ge/Si film and the temperature jump at the interface on the thermal conductivity of the overall structure of the material, and the change of the thermal conductivity of the film as the thickness of the film increases. The two-dimensional numerical simulation of the phonon heat transport process of the silicon film can obtain the temperature along the the normal and orientation-oriented distribution of the film, and the change in temperature and the thermal conductivity when the film width and thickness ratio are different.
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