Godunov-type solution of the shallow water equations on adaptive unstructured triangular grids

Skoula, ZD; Borthwick, AGL; Moutzouris, CI

dc.contributor.author	Skoula, ZD	en
dc.contributor.author	Borthwick, AGL	en
dc.contributor.author	Moutzouris, CI	en
dc.date.accessioned	2014-03-01T01:24:28Z
dc.date.available	2014-03-01T01:24:28Z
dc.date.issued	2006	en
dc.identifier.issn	1061-8562	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17273
dc.subject	Adaptive finite volume	en
dc.subject	Godunov	en
dc.subject	Implicit time integration	en
dc.subject	Shallow water equations	en
dc.subject	Unstructured grids	en
dc.subject	Variable bed topography	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	FINITE-VOLUME METHOD	en
dc.subject.other	NAVIER-STOKES EQUATIONS	en
dc.subject.other	SOURCE TERMS	en
dc.subject.other	DAM-BREAK	en
dc.subject.other	MODEL	en
dc.subject.other	FLOW	en
dc.subject.other	SCHEME	en
dc.subject.other	MESHES	en
dc.title	Godunov-type solution of the shallow water equations on adaptive unstructured triangular grids	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/10618560601088327	en
heal.identifier.secondary	http://dx.doi.org/10.1080/10618560601088327	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	A Godunov-type upwind finite volume solver of the non-linear shallow water equations is described. The shallow water equations are expressed in a hyperbolic conservation law formulation for application to cases where the bed topography is spatially variable. Inviscid fluxes at cell interfaces are computed using Roe's approximate Riemann solver. Second-order accurate spatial calculations of the fluxes are achieved by enhancing the polynomial approximation of the gradients of conserved variables within each cell. Numerical oscillations are curbed by means of a non-linear slope limiter. Time integration is second-order accurate and implicit. The numerical model is based on dynamically adaptive unstructured triangular grids. Test cases include an oblique hydraulic jump, jet-forced flow in a flat-bottomed circular reservoir, wind-induced circulation in a circular basin of non-uniform bed topography and the collapse of a circular dam. The model is found to give accurate results in comparison with published analytical and alternative numerical solutions. Dynamic grid adaptation and the use of a second-order implicit time integration scheme are found to enhance the computational efficiency of the model.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	International Journal of Computational Fluid Dynamics	en
dc.identifier.doi	10.1080/10618560601088327	en
dc.identifier.isi	ISI:000245644000003	en
dc.identifier.volume	20	en
dc.identifier.issue	9	en
dc.identifier.spage	621	en
dc.identifier.epage	636	en