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Mathematical modeling and numerical simulation of two-phase flows using Fourier pseudospectral and front-tracking methods: The proposition of a new method
Institution:1. Federal University of Pernambuco, Academic Center of Agreste, Nucleus of Technology, Rodovia BR-104, Km 59, s/n - Nova Caruaru, Caruaru, PE, Brazil;2. Federal University of Uberlândia, Departament of Mechanical Engineering, Laboratory of Mechanical of Fluids, Campus Sta. Mônica, Av: João Naves de Ávila, 2121, Bloco 5p, Uberlândia, MG, Brazil;3. CENPES, Cidade Universitária, Avenida 1, Quadra 7, sala 2118, Ilha do Fundão, Rio de Janeiro, RJ, Brazil;4. Federal University of Goiás, School of Electric, Mechanical and Computational Engineering, Av.: Universitária, 1488, Bloco: A, Piso: 3, Goiânia, GO, Brazil
Abstract:In the present work, an extension of the Fourier Pseudospectral Method coupled with the Immersed Boudary Method for non-periodic problems (IMERSPEC) applied to numerical simulation of two-phase flow was developed. The proposed method was originally developed for single-phase, incompressible flow. Here, the method is extended to two-phase flows using the front-tracking method (IMERSPEC-FT) to model fluid-fluid interfaces. The proposed method was verified and validated through results involving spurious currents, mass conservation and numerical experiments analysis for rising bubbles. IMERSPEC-FT is shown to be a promising scheme for the two-phase computational fluid dynamics (CFD).
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