污染物对流扩散方程的几种新的高阶QUICK组合显格式比较研究  

Comparative investigation of some high-order explicit schemes combined with QUICK for the convection-diffusion equation of pollutants

作　　者：谢志华[1] 林建国[1] 由晓丹[1] 

机构地区：[1]大连海事大学环境科学与工程学院,辽宁大连116026

出　　处：《水动力学研究与进展（A辑）》2005年第3期346-356,共11页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金项目(50479053)资助

摘　　要：本文运用组合式的有限差分QUICK格式,将对流扩散方程进行了高精度离散,通过对流项、时间项、扩散项几种高阶差分格式的优化组合,最终建立了一种时间三阶、对流三阶、扩散二阶的显式差分格式,通过经典的数值算例验证了本格式具有精度高、编程简单、计算速度快的特点。本文还详细介绍了由有限体积法建立的经典QUICK格式和通过有限差分法建立的QUICK格式的区别以及各自的精度。From the comparison of some combined high-order finite difference schemes with time term, convection and diffusion, a third-order time, third-order convection, second-order diffusion explicit scheme for the convection-diffusion equation is derived. The numerical simulation of two typical convection-diffusion problems show that the scheme is highly accurate and has the advantages of ease to program and efficiency in solution. The authors have discussed precisely the distinction and accuracy of the QUICK scheme between finite difference and finite volume numerical methods, and attempt to clarify some misunderstandings of the QUICK scheme.

关 键 词：对流扩散方程 QUlCK格式 RUNGE-KUTTA法 有限差分法 高精度 显格式 

分 类 号：O241.82[理学—计算数学] X146[理学—数学]