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Flux-blending schemes for interface capture in two-fluid flows |
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| Authors: | Yeng-Yung Tsui Shi-Wen Lin Tong-Ting Cheng Tian-Cherng Wu |
| Affiliation: | 1. University “Politehnica” Bucharest, Power Engineering Department, Romania;2. CITON – Center of Technology and Engineering for Nuclear Projects, Romania;3. Politecnico di Milano, Department of Energy, Italy;4. Tokyo Institute of Technology, Research Laboratory for Nuclear Reactors, Japan;1. DICEA, Department of Civil, Architectural and Environmental Engineering, Via Marzolo 9, University of Padua, 35131 Padua, Italy;2. CIMNE, International Center for Numerical Methods in Engineering, C1 Building, Campus Norte UPC, Gran Capitán S/N, 08034 Barcelona, Spain;1. Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka, 560-8531, Japan;2. Department of Energy Sciences, Tokyo Institute of Technology, 4259 Nagatsuta Midori-ku, Yokohama, 226-8502, Japan |
| Abstract: | This paper is aimed at developing a robust algorithm (FBICS) to capture the interface between two immiscible fluids without the need of interface reconstruction. The advection equation of the volume fraction is solved using the fully conservative finite volume method. Determination of the convective flux through each cell face is based on blending of high resolution schemes and compressive schemes to preserve the sharpness and boundedness of the interface. The flux-blending practice is fulfilled with the use of flux limiters. Test on simple advection flow problems indicates that the well-known CICSAM and HRIC schemes lose accuracy as the Courant number increases. In contrast, the present method maintains high-accuracy performance for Courant numbers up to one. The capability of the method to cope with the complicated dynamics of free surface flows is demonstrated via calculation of the collapsing flow of a water column with an obstacle. |
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