Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions
We extend a family of high-resolution, semidiscrete central schemes for hyperbolic systems of conservation laws to three-space dimensions. Details of the schemes, their implementation, and properties are presented together with results from several prototypical applications of hyperbolic conservatio...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/672187 |
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| _version_ | 1832558031814000640 |
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| author | Andrew N. Guarendi Abhilash J. Chandy |
| author_facet | Andrew N. Guarendi Abhilash J. Chandy |
| author_sort | Andrew N. Guarendi |
| collection | DOAJ |
| description | We extend a family of high-resolution, semidiscrete central schemes for hyperbolic systems of conservation laws to three-space dimensions. Details of the schemes, their implementation, and properties are presented together with results from several prototypical applications of hyperbolic conservation laws including a nonlinear scalar equation, the Euler equations of gas dynamics, and the ideal magnetohydrodynamic equations. Parallel scaling analysis and grid-independent results including contours and isosurfaces of density and velocity and magnetic field vectors are shown in this study, confirming the ability of these types of solvers to approximate the solutions of hyperbolic equations efficiently and accurately. |
| format | Article |
| id | doaj-art-5822043d50bb446aa790d44a9246b7be |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5822043d50bb446aa790d44a9246b7be2025-02-03T01:33:29ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/672187672187Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space DimensionsAndrew N. Guarendi0Abhilash J. Chandy1Department of Mechanical Engineering, The University of Akron, Akron, OH 44325-3903, USADepartment of Mechanical Engineering, The University of Akron, Akron, OH 44325-3903, USAWe extend a family of high-resolution, semidiscrete central schemes for hyperbolic systems of conservation laws to three-space dimensions. Details of the schemes, their implementation, and properties are presented together with results from several prototypical applications of hyperbolic conservation laws including a nonlinear scalar equation, the Euler equations of gas dynamics, and the ideal magnetohydrodynamic equations. Parallel scaling analysis and grid-independent results including contours and isosurfaces of density and velocity and magnetic field vectors are shown in this study, confirming the ability of these types of solvers to approximate the solutions of hyperbolic equations efficiently and accurately.http://dx.doi.org/10.1155/2013/672187 |
| spellingShingle | Andrew N. Guarendi Abhilash J. Chandy Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions The Scientific World Journal |
| title | Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions |
| title_full | Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions |
| title_fullStr | Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions |
| title_full_unstemmed | Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions |
| title_short | Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions |
| title_sort | nonoscillatory central schemes for hyperbolic systems of conservation laws in three space dimensions |
| url | http://dx.doi.org/10.1155/2013/672187 |
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