【全集】2005 MCM A 洪水估计 特等奖论文 教程
PROBLEM A: Flood PlanningLake Murray in central South Carolina is formed by a large earthen dam, which was completed in 1930 for power production. Model the flooding downstream in the event there is a catastrophic earthquake that breaches the dam. Two particular questions:
[*]Rawls Creek is a year-round stream that flows into the Saluda River a short distance downriver from the dam. How much flooding will occur in Rawls Creek from a dam failure, and how far back will it extend?
[*]Could the flood be so massive downstream that water would reach up to the S.C. State Capitol Building, which is on a hill overlooking the Congaree River?
MCM2005 A 题: 洪水估计
位于美国南卡罗莱纳州中部的Murray 湖是因为发电需要而建造的一座大型土坝而形成的，大坝建成于1930 年。假设一场灾难性的大地震造成大坝决口，试对由此而产生的下游洪水进行建模。两个值得注意的问题：
1、Rawls 河是一条四季不断流的、距大坝下游很近的Saluda 河的支流。当大坝决口形成洪水的时候，Rawls 河将遭受多大的洪水？河水倒流会延伸多远？
2、洪水会波及位于Congaree 河边一座小山上的南卡罗莱纳州议会大厦吗？ 本题共评出3份特等奖（Outstanding Winners）获得者：
1、美国华盛顿大学— INFORMS Prize Recipient
[*]参赛编号：Control No. 36[*]论文题目：Analysis of Dam Failure in the Saluda River Valley[*]论文作者：Ryan Bressler, Braxton Osting, and Christina Polwarth[*]指导老师：Rekha Thomas
2、加拿大萨斯喀彻温大学— MAA Prize Recipient
[*]参赛编号：Control No. 694[*]论文题目：Through the Breach:Modeling Flooding from a Dam Failure in South Carolina[*]论文作者：Jennifer Kohlenberg、Michael Barnett、Scott Wood[*]指导老师：James Brooke
3、美国 哈维马地学院— SIAM Prize Recipient
[*]参赛编号：Control No. 840[*]论文题目：From Lake Murray to a Dam Slurry [*]论文作者： Clay Hambrick、Katie Lewis、Lori Thomas[*]指导老师：Jon Jacobsen
4、加拿大麦吉尔大学—Ben Fusaro Award
[*]参赛编号：Control No. 289[*]论文题目: Catastrophic Consequences of Earthquake Destruction of the Saluda Dam[*]论文作者：Miika Klemetti、Colin McNally、Chris Payette[*]指导老师：Nilima Nigam[*]注：此参赛作品为“Meritorious Winner” 一等奖
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