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Simulation of Dam-break Flows Based on Finite Volume HWENO Schemes

Author: WengLei
Tutor: ChengGuoSheng;LuChangNa
School: Nanjing University of Information Engineering
Course: Applied Mathematics
Keywords: Shallow water wave equation Finite volume method HWENO format The dam-break stream
CLC: O35
Type: Master's thesis
Year: 2011
Downloads: 55
Quote: 1
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In order to water storage the The purpose of irrigation, flood control power generation , and and so on , the people damming of Rivers in , building water conservancy projects . Dams , although can be to protect the human from damage from flooding , etc. disasters, but also on human has a the potentially huge danger . When the man-made causes or the forces of nature caused by when the outburst of the dams , the the sudden release of of the a large number of water body will the formation of the flood wave , thereby to caused by devastating disaster on the the downstream Flood Detention Region in . Accordingly, forecasting and to determine ) when along the throughout the of the Cheng ( s ) flow rate , water level, flow rate and and so on ( hydraulic factors of in the the Evolution of the the flow of of the suitable sites for dam-break and dams . , The on water level variation process in line , and Hung Shui to the downstream have the important the significance of , for a long time the this problem has been subject to the to of the extreme of scholars at home and abroad large Concerned about the . HWENO format is to the development of in the on the the the basis of of the WENO Schemes for up , initially by the QiuJX, ShuC W put forward and be used as the a kind limiter in the in the the RKDG method is introduced into the in the the solving of the FOR HYPERBOLIC CONSERBATION LAWS . Compared with WENO one of the format in terms of , HWENO format has the the advantages of less template , high precision, little calculation , and and so on on . Currently, many method is used to the Shallow Water Long stream simulation, but based on the the dam-break flow analog of the HWENO format has not yet see related reported , this article in this regard done some of the the work of of the attempt to sexual , the main include: 1. Shallow water wave equation used in a when the -dimensional dam - break flow simulation has a concept is clear , the advantages of calculation is simple , the results relatively reliable and and so on on , in the engineering in the in particular, is in the the analog of the long river reach , the the large-scale of the be widespread adoption of . The application of this article finite volume HWENO format for solving one-dimensional shallow water wave equation , numerical simulation the the dam-break stream of the the one-dimensional , and were compared from the theoretical solution and based on the the the numerical solution of of the WENO Schemes for . The analysis showed that the the at the point of intermittent the finite volume HWENO format effectively inhibit the oscillation , and better fitting of the theoretical solution . 2. The two - dimensional dam-break flow simulation is mainly based on the wave equation of the The two-dimensional , shallow - water . In this paper , on the the for Conservative -type shallow water wave equation The finite volume method to carried out spatial discretization , HWENO Format refactoring the the left and right of the the unit and interface Department variables function value , and combined with four-step Runge-Kutta method carried out time-marching , the establishment of the of the numerical value of of the for two-dimensional conservation shallow water wave equation for solving the format, to simulate the two-dimensional local dam - break stream , round dam - break stream . All of the results comply with the the actual physical phenomena , with the existing numerical results -phase anastomosis , to show that the the the the applicability and the correctness of of the model .

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