求解热传导方程的四阶有限容积紧致格式

A Fourth-order Finite Volume Compact Scheme for Heat Conduction Equation

对非齐次热传导方程提出了一种数值求解的有限容积紧致格式,该格式具有空间上的四阶精度,且与有限差分紧致格式相比,更好地保持了问题的物理守恒性.数值算例表明,在相同的结点下,有限容积紧致格式比有限差分非紧致格式的精度更高.

In this paper, a fourth-order finitc volume compact method for heat conduction equation is studied.Compared with compact difference method, this scheme can keep the physical conservation of question better in na-ture. Numeric test shows that finite volume compact scheme can achieve more accurate resolution than finite difference noncompact scheme.