Laplace transform integration of the shallow‐water equations. Part II: Semi‐Lagrangian formulation and orographic resonance
In this article we combine the Laplace transform (LT) scheme with a semi‐Lagrangian advection scheme, and implement it in a shallow‐water model. It is compared to a reference model using the semi‐implicit (SI) scheme, with both Eulerian and Lagrangian advection. We show that the LT scheme is accurat...
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| Veröffentlicht in: | Quarterly journal of the Royal Meteorological Society 2011-04, Vol.137 (656), p.800-809 |
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| container_title | Quarterly journal of the Royal Meteorological Society |
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| creator | Clancy, Colm Lynch, Peter |
| description | In this article we combine the Laplace transform (LT) scheme with a semi‐Lagrangian advection scheme, and implement it in a shallow‐water model. It is compared to a reference model using the semi‐implicit (SI) scheme, with both Eulerian and Lagrangian advection. We show that the LT scheme is accurate and computationally competitive with these reference schemes. We also show, both analytically and numerically, that the LT scheme is free from the problem of orographic resonance that is found with semi‐implicit schemes. Copyright © 2011 Royal Meteorological Society |
| doi_str_mv | 10.1002/qj.805 |
| format | Article |
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Copyright © 2011 Royal Meteorological Society</description><subject>Advection</subject><subject>Computation</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>External geophysics</subject><subject>filtering</subject><subject>Laplace transforms</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Meteorology</subject><subject>numerical weather prediction</subject><subject>Physics of the high neutral atmosphere</subject><subject>time integration</subject><issn>0035-9009</issn><issn>1477-870X</issn><issn>1477-870X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqN0c1uEzEUBWALgUQo7TN4A7SLSa894_GYXVWVkipSQQWpu9GNx9M4cuzEnijqCh6BZ-yT4DRVd_ysLPl-PrLOJeSIwZgB8NP1YtyAeEFGrJKyaCTcviQjgFIUCkC9Jm9SWgCAkFyOyI8prhxqQ4eIPvUhLqn1g7mLONjgaejpMDc0zdG5sH34-WuLg4nUrDeP8zSmXzAOdDL5SG_M0mYwxfzW31n0dJe2cfsg9B0NMeTZam41jSYFj16bt-RVjy6Zw6fzgHz_dPHt_HMxvb6cnJ9NC10JEEXXmIbPBNQ9ZwJnHIXokMuukVWnZ6JCpRg3WtSs6lW-rxWoGWpZdihND6o8IB_2uasY1huThnZpkzbOoTdhk9qmKaFkikGWx3-VTMrcpSgr9l-US8Hr6t8UmFSyhLrO9P2e6hhSiqZvV9EuMd5n1O423K4Xbd5whu-eMjFpdH3uXdv0rHn-YS6vye5k77bWmfs_pLVfr3aZvwG1TLUc</recordid><startdate>201104</startdate><enddate>201104</enddate><creator>Clancy, Colm</creator><creator>Lynch, Peter</creator><general>John Wiley & Sons, Ltd</general><general>Wiley</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>KL.</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>201104</creationdate><title>Laplace transform integration of the shallow‐water equations. 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| identifier | ISSN: 0035-9009 |
| ispartof | Quarterly journal of the Royal Meteorological Society, 2011-04, Vol.137 (656), p.800-809 |
| issn | 0035-9009 1477-870X 1477-870X |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | Advection Computation Earth, ocean, space Exact sciences and technology External geophysics filtering Laplace transforms Mathematical analysis Mathematical models Meteorology numerical weather prediction Physics of the high neutral atmosphere time integration |
| title | Laplace transform integration of the shallow‐water equations. Part II: Semi‐Lagrangian formulation and orographic resonance |
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