关键词: 热传导, 有限差分法, 数值模拟, 二分法, 反演

Abstract:

The energy-saving architecture has huge influence for total energy consumption in our country, in which emphasis is the design of thermal insulation. The structure composing and the temperature changing are analyzed. The model is derived by heat conduction equation. The design for proper thickness of flat roof heat preservation layer in cold area is presented, and numerical solution of indoor temperature is brought out by finite-difference method. The inversion process and numerical simulation are solved by dichotomy and Matlab. Economical optimum of insulation thickness is achieved. And the simulations are performed in order to offer complete theory analysis and experiment study. The proper thickness of flat is 29 cm.Thus, all the above researches have the positive meaning for practical application in engineering.

Key words: heat conduction equation, finite-difference method, numerical simulation, dichotomy, the inversion method