摘要
针对管道中介质瞬变流动的非线性偏微分方程组难以解析求解的问题,由质量、动量、能量三个偏微分方程构成的控制方程组,应用TVD/Godunov混合算法数值模拟天然气管道中气体的瞬变流动,摒弃了传统的差分方法对动量方程非线性对流项的线性化处理,而直接处理非线性对流项,从而大大提高了算法的稳定性和管道瞬变流动的仿真精度。算法采用了时间分裂法描述不完全堵塞管道,没有作等温假设,进一步增进了数值模拟的精度与合理性,获得了理想精度的计算结果。
The nonlinear hyperbolic conservation laws of the transient flow of the media in gas pipeline are hard to be solved,so,the control conservation laws are constituted of mass,momentum and energy conservation laws,TVD/Godunov hydrid algorithm is used to simulate the transient flow in gas pipeline,and the traditional splitting approach processing nonlinear convection in momentum equation is dismissed,the convection term is directly processed,in the way,the stablization of the algorithm and emulating accuracy of the transient flow are greatly improved.The time splitting approach is used in the algorithm to describe not completely blocked pipeline,the computing result of ideal accuracy is obtained.
出处
《西南石油大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期151-154,共4页
Journal of Southwest Petroleum University(Science & Technology Edition)
