ANumerical Study of Characteristic Slow-Transient Behavior of a Compressible 2D Gas-Liquid Two-Fluid Model
H.A. Friis 1, S. Evje 1*, T. Flatten 31 International Research Institute of Stavanger (IRIS), Prof. Olav Hanssensvei 15, NO-4068 Stavanger, Norway
2 Department of informatics, University of Bergen, P.O.Box 7800, N-5020 Bergen, Norway
3 SINTEF Energy Research, Sem S?lands vei 11, NO-7465 Trondheim, Norway
Received 20 January 2009; Accepted (in revised version) 25 February 2009
The purpose of this paper is to gain some insight into the characteristic behavior of a general compressible two-fluid gas-liquid model in 2D by using numerical computations. Main focus is on mass transport phenomena. Relatively few numerical results in higher dimensions can be found in the literature for this two- fluid model, in particular, for cases where mass transport dynamics are essential. We focus on natural extensions to 2D of known 1D benchmark test cases, like water faucet and gas-liquid separation, previously employed by many researchers for the purpose of testing various numerical schemes. For the numerical investigations, the WIMF discretization method introduced in [SIAM J. Sci. Comput. 26 (2005), 1449] is applied, in combination with a standard dimensional splitting approach. Highly complicated flow patterns are observed reflecting the balance between acceleration forces, gravity, interfacial forces, and pressure gradients. An essential ingredient in these results is the appearance of single-phase regions in combination with mixture regions (dispersed flow). Solutions are calculated and shown from early times until a steady state is reached. Grid refinement studies are included to demonstrate that the obtained solutions are not grid-sensitive.AMS subject classifications: 76T10, 76N10, 65M12, 35L65
Key words: two-fluid model, hyperbolic, numerical scheme, pressure-velocity coupling, singlephase flow.
Email: HelmerAndre.Friis@iris.no (H.A. Friis), Steinar.Evje@iris.no (S. Evje), Tore.Flatten@sintef.no (T. Flatten)