Transport of pollutant in shallow flows: A space–time CE/SE scheme
This paper focuses on implementation of space–time CE/SE scheme for computing the transport of a passive pollutant by a flow. The flow model comprises of the Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. The one-dimensional and two...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2019-06, Vol.77 (12), p.3195-3211 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Rabbani, Omar Ahmed, Munshoor Zia, Saqib |
| description | This paper focuses on implementation of space–time CE/SE scheme for computing the transport of a passive pollutant by a flow. The flow model comprises of the Saint-Venant system of shallow water equations and the pollutant propagation is described by a transport equation. The one-dimensional and two-dimensional flow equations are numerically investigated using the CE/SE scheme. A number of test problems are presented to check the accuracy and efficiency of the proposed scheme. The results of CE/SE scheme are compared with the central scheme. Both the schemes are found to be in close agreement. However, our proposed CE/SE scheme accurately captures shocks and discontinuous profiles. |
| doi_str_mv | 10.1016/j.camwa.2019.02.010 |
| format | Article |
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However, our proposed CE/SE scheme accurately captures shocks and discontinuous profiles.</description><subject>CE/SE scheme</subject><subject>Central scheme</subject><subject>Flow equations</subject><subject>Hyperbolic systems</subject><subject>Non-conservative systems</subject><subject>Pollutant-transport shallow flow model</subject><subject>Pollutants</subject><subject>Pollution transport</subject><subject>Shallow water equations</subject><subject>Two dimensional flow</subject><issn>0898-1221</issn><issn>1873-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kE1OwzAQRi0EEqVwAjaWWCcd201sI7GoSvmRKrGgrC3HdtRESRzsFMSOO3BDTkJKWbOZ2cz7Rt9D6JJASoDkszo1un3XKQUiU6ApEDhCEyI4S3iei2M0ASFFQiglp-gsxhoA5ozCBN1ugu5i78OAfYl73zS7QXcDrjoct7pp_DsuxxGv8QLHXhv3_fk1VK3Dy9XseYWj2brWnaOTUjfRXfztKXq5W22WD8n66f5xuVgnhvF8SARzghuWcUELSWTmSippoe2cSS0JaG2ZNJnJREnnBCgHUwpuC1IIYwmXlk3R1SG3D_515-Kgar8L3fhSUcqYZFk-Vp4idrgywccYXKn6ULU6fCgCaq9L1epXl9rrUkDVqGukbg6UGwu8VS6oaCrXGWer4MygrK_-5X8Az6Rzpw</recordid><startdate>20190615</startdate><enddate>20190615</enddate><creator>Rabbani, Omar</creator><creator>Ahmed, Munshoor</creator><creator>Zia, Saqib</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20190615</creationdate><title>Transport of pollutant in shallow flows: A space–time CE/SE scheme</title><author>Rabbani, Omar ; Ahmed, Munshoor ; Zia, Saqib</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c376t-83e87c35782b9195ef292bad439a910aad39c5c58f2410270cf87db1b8cd179d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>CE/SE scheme</topic><topic>Central scheme</topic><topic>Flow equations</topic><topic>Hyperbolic systems</topic><topic>Non-conservative systems</topic><topic>Pollutant-transport shallow flow model</topic><topic>Pollutants</topic><topic>Pollution transport</topic><topic>Shallow water equations</topic><topic>Two dimensional flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rabbani, Omar</creatorcontrib><creatorcontrib>Ahmed, Munshoor</creatorcontrib><creatorcontrib>Zia, Saqib</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers & mathematics with applications (1987)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rabbani, Omar</au><au>Ahmed, Munshoor</au><au>Zia, Saqib</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transport of pollutant in shallow flows: A space–time CE/SE scheme</atitle><jtitle>Computers & mathematics with applications (1987)</jtitle><date>2019-06-15</date><risdate>2019</risdate><volume>77</volume><issue>12</issue><spage>3195</spage><epage>3211</epage><pages>3195-3211</pages><issn>0898-1221</issn><eissn>1873-7668</eissn><abstract>This paper focuses on implementation of space–time CE/SE scheme for computing the transport of a passive pollutant by a flow. 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| ispartof | Computers & mathematics with applications (1987), 2019-06, Vol.77 (12), p.3195-3211 |
| issn | 0898-1221 1873-7668 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | CE/SE scheme Central scheme Flow equations Hyperbolic systems Non-conservative systems Pollutant-transport shallow flow model Pollutants Pollution transport Shallow water equations Two dimensional flow |
| title | Transport of pollutant in shallow flows: A space–time CE/SE scheme |
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