A CHARACTERISTIC-BASED FINITE VOLUME SCHEME FOR SHALLOW WATER EQUATIONS
We propose a new characteristic-based finite volume scheme combined with the method of Central Weighted Essentially Non-Oscillatory (CWENO) reconstruction and characteristics, to solve shallow water equations. We apply the scheme to simulate dam-break problems. A number of challenging test cases are...
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Veröffentlicht in: | Journal of hydrodynamics. Series B 2009-08, Vol.21 (4), p.531-540 |
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creator | GUO, Yan LIU, Ru-xun DUAN, Ya-li LI, Yuan |
description | We propose a new characteristic-based finite volume scheme combined with the method of Central Weighted Essentially Non-Oscillatory (CWENO) reconstruction and characteristics, to solve shallow water equations. We apply the scheme to simulate dam-break problems. A number of challenging test cases are considered, such as large depth differences even wet/dry bed. The numerical solutions well agree with the analytical solutions. The results demonstrate the desired accuracy, high-resolution and robustness of the presented scheme. |
doi_str_mv | 10.1016/S1001-6058(08)60181-X |
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We apply the scheme to simulate dam-break problems. A number of challenging test cases are considered, such as large depth differences even wet/dry bed. The numerical solutions well agree with the analytical solutions. The results demonstrate the desired accuracy, high-resolution and robustness of the presented scheme.</description><identifier>ISSN: 1001-6058</identifier><identifier>EISSN: 1878-0342</identifier><identifier>DOI: 10.1016/S1001-6058(08)60181-X</identifier><language>eng</language><publisher>Singapore: Elsevier Ltd</publisher><subject>Central Weighted Essentially Non-Oscillatory (CWENO) scheme ; characteristic method ; Computational fluid dynamics ; Computer simulation ; Drying ; Engineering ; Engineering Fluid Dynamics ; finite volume method ; Fluid flow ; HLLC flux ; Hydrology/Water Resources ; Mathematical analysis ; Mathematical models ; Numerical and Computational Physics ; Robustness ; Shallow water equations ; Simulation ; 体积计 ; 加权方法 ; 数值解 ; 无振荡 ; 有限体积方法 ; 浅水方程 ; 高清晰度</subject><ispartof>Journal of hydrodynamics. Series B, 2009-08, Vol.21 (4), p.531-540</ispartof><rights>2009 Publishing House for Journal of Hydrodynamics</rights><rights>China Ship Scientific Research Center 2009</rights><rights>Copyright © Wanfang Data Co. Ltd. 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Series B</title><addtitle>J Hydrodyn</addtitle><addtitle>Journal of Hydrodynamics</addtitle><description>We propose a new characteristic-based finite volume scheme combined with the method of Central Weighted Essentially Non-Oscillatory (CWENO) reconstruction and characteristics, to solve shallow water equations. We apply the scheme to simulate dam-break problems. A number of challenging test cases are considered, such as large depth differences even wet/dry bed. The numerical solutions well agree with the analytical solutions. The results demonstrate the desired accuracy, high-resolution and robustness of the presented scheme.</description><subject>Central Weighted Essentially Non-Oscillatory (CWENO) scheme</subject><subject>characteristic method</subject><subject>Computational fluid dynamics</subject><subject>Computer simulation</subject><subject>Drying</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>finite volume method</subject><subject>Fluid flow</subject><subject>HLLC flux</subject><subject>Hydrology/Water Resources</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Numerical and Computational Physics</subject><subject>Robustness</subject><subject>Shallow water equations</subject><subject>Simulation</subject><subject>体积计</subject><subject>加权方法</subject><subject>数值解</subject><subject>无振荡</subject><subject>有限体积方法</subject><subject>浅水方程</subject><subject>高清晰度</subject><issn>1001-6058</issn><issn>1878-0342</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkV1vlEAUhonRxFr9CSbEC1MT0XNmmGG4MohslwRLXFjbuwkMw8pKoWV21fXXOy013rlX51w8z_nI6zgvEd4hIH9fIAB6HJg4A_GGAwr0rh45JygC4QH1yWPb_0WeOs-M2QJQHoJ_4pxHbryMVlFcJqu0KNPY-xgVySd3kV6kZeJ-zbP158Qt4mViyyJfucUyyrL80r2MrOEmX9ZRmeYXxXPnSVv1Rr94qKfOepGU8dLL8vM0jjJPMWQ7DytgVQVKK0HqWvjggwZWN3XLtYYgRFYLAawNBTZtLZgf-JwTDloQrihl9NR5O8_9WQ1tNWzkdtxPg90oTdP_OmwP299SEwD7HCC1-OsZv5nG2702O3ndGaX7vhr0uDeS-iEPqS-OggSR-gjEgmf_BTEIAmSEB6FF2YyqaTRm0q28mbrrajpIBHmXnLxPTt7FIkHI--TklfX47BnLDxs9_XvymPhhFrVN4EdnRaM6PSjddJNWO9mM3dEJrx5O_jYOm1u7XdaV-t52vZaUUAKUIv0DK-CznA</recordid><startdate>20090801</startdate><enddate>20090801</enddate><creator>GUO, Yan</creator><creator>LIU, Ru-xun</creator><creator>DUAN, Ya-li</creator><creator>LI, Yuan</creator><general>Elsevier Ltd</general><general>Springer Singapore</general><general>Department of Mathematics, University of Science and Technology of China, Hefei 230026, China</general><general>Department of Mathematics, China University of Mining and Technology, XuZhou 221116, China%Department of Mathematics, University of Science and Technology of China, Hefei 230026, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SU</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><scope>7QH</scope><scope>7UA</scope><scope>F1W</scope><scope>H96</scope><scope>L.G</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20090801</creationdate><title>A CHARACTERISTIC-BASED FINITE VOLUME SCHEME FOR SHALLOW WATER EQUATIONS</title><author>GUO, Yan ; 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Series B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>GUO, Yan</au><au>LIU, Ru-xun</au><au>DUAN, Ya-li</au><au>LI, Yuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A CHARACTERISTIC-BASED FINITE VOLUME SCHEME FOR SHALLOW WATER EQUATIONS</atitle><jtitle>Journal of hydrodynamics. Series B</jtitle><stitle>J Hydrodyn</stitle><addtitle>Journal of Hydrodynamics</addtitle><date>2009-08-01</date><risdate>2009</risdate><volume>21</volume><issue>4</issue><spage>531</spage><epage>540</epage><pages>531-540</pages><issn>1001-6058</issn><eissn>1878-0342</eissn><abstract>We propose a new characteristic-based finite volume scheme combined with the method of Central Weighted Essentially Non-Oscillatory (CWENO) reconstruction and characteristics, to solve shallow water equations. We apply the scheme to simulate dam-break problems. A number of challenging test cases are considered, such as large depth differences even wet/dry bed. The numerical solutions well agree with the analytical solutions. The results demonstrate the desired accuracy, high-resolution and robustness of the presented scheme.</abstract><cop>Singapore</cop><pub>Elsevier Ltd</pub><doi>10.1016/S1001-6058(08)60181-X</doi><tpages>10</tpages></addata></record> |
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subjects | Central Weighted Essentially Non-Oscillatory (CWENO) scheme characteristic method Computational fluid dynamics Computer simulation Drying Engineering Engineering Fluid Dynamics finite volume method Fluid flow HLLC flux Hydrology/Water Resources Mathematical analysis Mathematical models Numerical and Computational Physics Robustness Shallow water equations Simulation 体积计 加权方法 数值解 无振荡 有限体积方法 浅水方程 高清晰度 |
title | A CHARACTERISTIC-BASED FINITE VOLUME SCHEME FOR SHALLOW WATER EQUATIONS |
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