人民长江
人民長江
인민장강
YANGTZE RIVER
2014年
14期
85-88
,共4页
矩阵标识法%图论%松弛迭代法%河网
矩陣標識法%圖論%鬆弛迭代法%河網
구진표식법%도론%송이질대법%하망
matrix mark method%graph theory%relaxed iterative algorithm%river networks
隐式求解一维水流运动虽具有良好的稳定性，但在河网计算中需要生成和求解大型系数矩阵。从图论的角度，将河网拓扑结构抽象为有向图，建立关联矩阵自动生成系数矩阵，在河网矩阵标识法的基础上提出了更为通用、灵活的面向对象的矩阵标识法。实例计算和松弛系数敏感性分析结果均表明，改进方法简化了计算程序的结构，具有较高的效率和稳定性。
隱式求解一維水流運動雖具有良好的穩定性，但在河網計算中需要生成和求解大型繫數矩陣。從圖論的角度，將河網拓撲結構抽象為有嚮圖，建立關聯矩陣自動生成繫數矩陣，在河網矩陣標識法的基礎上提齣瞭更為通用、靈活的麵嚮對象的矩陣標識法。實例計算和鬆弛繫數敏感性分析結果均錶明，改進方法簡化瞭計算程序的結構，具有較高的效率和穩定性。
은식구해일유수류운동수구유량호적은정성，단재하망계산중수요생성화구해대형계수구진。종도론적각도，장하망탁복결구추상위유향도，건립관련구진자동생성계수구진，재하망구진표식법적기출상제출료경위통용、령활적면향대상적구진표식법。실례계산화송이계수민감성분석결과균표명，개진방법간화료계산정서적결구，구유교고적효솔화은정성。
The implicit difference scheme for solving 1 D Saint-Venant equations is of good stability, but large-scale coeffi-cient matrix needs to be generated and solved for simulating river network flow. The topological structure of river networks is ab-stracted as a directed graph from graph theory, and the incidence matrix is established to generate the coefficient matrix automati-cally. The object-oriented matrix mark method is proposed on the basis of matrix mark method, which is more universal and flexible. The practical computation and the sensitivity analysis of the relaxation coefficient show that the modified method can sim-plify the structure of the calculation program, which is effective and stable.
