Paper Info
Title
A semi-implicit fractional step algorithm on staggered meshes for simulating a compressible two-layer mixed-flow model
Abstract
We present here a numerical scheme based on the classical SIMPLE algorithm for the time-stepping and on a MAC discretization on staggered meshes for the estimation of the spatial derivatives. This scheme is applied here to a two-layer two-fluid model that has been proposed in previous works of the literature in order to perform computations of gas–liquid flows in pipes with gravity effects. This model accounts for pressure relaxation and velocity relaxation between the two phases through source terms. Thanks to new forms of these source terms, their discretization can be easily introduced in the different steps of the SIMPLE algorithm. The whole algorithm then allows to couple convective terms and source terms without suffering from the CFL limitation of the explicit Godunov-type schemes. A detailed description of the scheme is proposed and some numerical tests have been performed in order to assess the behavior of the approximated solutions when pressure–velocity relaxation is taken into account.
Year
DOI
Venue
2022
10.1016/j.cam.2022.114318
Journal of Computational and Applied Mathematics
Keywords
DocType
Volume
Two-phase flows,Two-fluid model,Interfacial transfer
Journal
412
ISSN
Citations 
PageRank 
0377-0427
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Olivier Hurisse100.34