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A Riemann solver and upwind methods for a two-phase flow model in non-conservative form

2005; Wiley; Volume: 50; Issue: 3 Linguagem: Inglês

10.1002/fld.1055

1097-0363

Cristòbal E. Castro, Eleuterio F. Toro,

Navier-Stokes equation solutions

International Journal for Numerical Methods in FluidsVolume 50, Issue 3 p. 275-307 Research Article A Riemann solver and upwind methods for a two-phase flow model in non-conservative form C. E. Castro, Corresponding Author C. E. Castro castroc@ing.unitn.it Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Trento, ItalyLaboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Via Mesiano 77, Trento 38050, Italy===Search for more papers by this authorE. F. Toro, E. F. Toro toro@ing.unitn.it Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Trento, ItalySearch for more papers by this author C. E. Castro, Corresponding Author C. E. Castro castroc@ing.unitn.it Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Trento, ItalyLaboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Via Mesiano 77, Trento 38050, Italy===Search for more papers by this authorE. F. Toro, E. F. Toro toro@ing.unitn.it Laboratory of Applied Mathematics, Faculty of Engineering, University of Trento, Trento, ItalySearch for more papers by this author First published: 01 September 2005 https://doi.org/10.1002/fld.1055Citations: 29AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract We present a theoretical solution for the Riemann problem for the five-equation two-phase non-conservative model of Saurel and Abgrall. This solution is then utilized in the construction of upwind non-conservative methods to solve the general initial-boundary value problem for the two-phase flow model in non-conservative form. The basic upwind scheme constructed is the non-conservative analogue of the Godunov first-order upwind method. Second-order methods in space and time are then constructed via the MUSCL and ADER approaches. The methods are systematically assessed via a series of test problems with theoretical solutions. Copyright © 2005 John Wiley & Sons, Ltd. Citing Literature Volume50, Issue330 January 2006Pages 275-307 RelatedInformation