Show simple item record

dc.contributor.authorSun, Wen-Yih  Concept link
dc.contributor.authorSun, Oliver M. T.  Concept link
dc.date.accessioned2011-12-30T14:46:37Z
dc.date.available2011-12-30T14:46:37Z
dc.date.issued2011-01-25
dc.identifier.urihttps://hdl.handle.net/1912/4964
dc.descriptionAuthor Posting. © The Author(s), 2011. This is the author's version of the work. It is posted here by permission of Elsevier B.V. for personal use, not for redistribution. The definitive version was published in Computers & Fluids 52 (2011): 69-72, doi:10.1016/j.compfluid.2011.08.019.en_US
dc.description.abstractIn the 1D linearized shallow water equations, the Courant number should be < 0.5 for stability in the original Leapfrog (LF) scheme. Here, we propose using the time-averaged heights in the pressure gradient force in the momentum equations. The stability analysis shows that the new scheme is neutral when Courant number <1. The scheme is 2nd order accurate in both time and space. It does not require iterations and can be easily applied in 2D or 3D wave equations. The numerical simulations for 2-D linearized shallow water equations are consistent with those obtained from a 2-time-step semi-implicit scheme.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.urihttps://doi.org/10.1016/j.compfluid.2011.08.019
dc.subjectShallow Water Equationsen_US
dc.subjectLeapfrog schemeen_US
dc.subjectCourant numberen_US
dc.subjectEigenvalueen_US
dc.subjectSemi-impliciten_US
dc.subjectFinite-volumeen_US
dc.subjectStabilityen_US
dc.titleA modified leapfrog scheme for shallow water equationsen_US
dc.typePreprinten_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record