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dc.contributor.authorGoddard, Jacqueline Clare
dc.date.accessioned2014-12-08T08:47:47Z
dc.date.issued2014-06-17
dc.description.abstractThis thesis concerns the viability of the `Yin-Yang grid' for future generations of atmospheric models. The `Yin-Yang grid’, is an overset grid in which two segments of the classical latitude-longitude grid, with the poles excised, are rotated relative to each other and fit together rather like the surface of a tennis ball. We investigate whether wave propagation can be accurately modelled across the overlap regions and whether transport of air mass properties, such as entropy or water content, can be modelled accurately and conservatively across the overlap regions, without significant `grid imprinting' on the solution. The wave propagation results demonstrate that the overlapping regions support computational/spurious wave modes and methods for controlling these wave modes are discussed. Transport schemes are investigated in one dimension using the Chesshire and Henshaw conservative interpolation scheme [Chesshire and Henshaw 1984] and the new `Zerroukat mass fixer' scheme. The Zerroukat mass fixer scheme is extended to the (two-dimensional) Yin-Yang grid. The results demonstrate that the Zerroukat mass fixer scheme is successful in conserving mass. However, the Zerroukat scheme has an effect on flux limiter schemes, overshoots can occur. The Zerroukat scheme also reduces convergence rates by 2 orders of accuracy. Therefore if 2nd order convergence is required a 4th order scheme would need to be used.en_GB
dc.description.sponsorshipMet Officeen_GB
dc.description.sponsorshipEPRSCen_GB
dc.identifier.urihttp://hdl.handle.net/10871/15998
dc.language.isoenen_GB
dc.publisherUniversity of Exeteren_GB
dc.subjectYin-Yang griden_GB
dc.subjectNWPen_GB
dc.subjectComposite griden_GB
dc.titleViability of the Yin-Yang Grid as a Basis for Future Generations of Atmospheric Modelsen_GB
dc.typeThesis or dissertationen_GB
dc.date.available2014-12-08T08:47:47Z
dc.contributor.advisorThuburn, John
dc.publisher.departmentMathematicsen_GB
dc.type.degreetitlePhD in Mathematicsen_GB
dc.type.qualificationlevelDoctoralen_GB
dc.type.qualificationnamePhDen_GB


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