 Evaluation of a bounded high order upwind scheme for 3D incompressible free surface flow computationsV.G. Ferreira, F.A. Kurokawa, C.M. Oishi, M.K. Kaibara, A. Castelo and J.A. Cuminato Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 6, 1895-1914 Abstract: In the context of normalized variable formulation (NVF) of Leonard and total variation diminishing (TVD) constraints of Harten, this paper presents an extension of a previous work by the authors for solving unsteady incompressible flow problems. The main contributions of the paper are threefold. First, it presents the results of the development and implementation of a bounded high order upwind adaptative QUICKEST scheme in the 3D robust code (Freeflow), for the numerical solution of the full incompressible Navier–Stokes equations. Second, it reports numerical simulation results for 1D shock tube problem, 2D impinging jet and 2D/3D broken dam flows. Furthermore, these results are compared with existing analytical and experimental data. And third, it presents the application of the numerical method for solving 3D free surface flow problems. Keywords: High order bounded upwind; Free surface flow; Navier–Stokes equations; Convection terms; Finite difference method (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:6:p:1895-1914 DOI: 10.1016/j.matcom.2007.04.018 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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