A PISO-like algorithm to simulate superfluid helium flow with the two-fluid model

Cyprien Soulaine (1, 2) , Michel Quintard (1) , Hervé Allain (3) , Bertrand Baudouy (4) , Rob van Weelderen (3)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 Stanford University
3 CERN [Genève]
4 DACM - Département des Accélérateurs, de Cryogénie et de Magnétisme (ex SACM)

This paper presents a segregated algorithm to solve numerically the superfluid helium (He II) equations using the two-fluid model. In order to validate the resulting code and illustrate its potential, different simulations have been performed. First, the flow through a capillary filled with Hell with a heated area on one side is simulated and results are compared to analytical solutions in both Landau and Gorter-Mellink flow regimes. Then, transient heat transfer of a forced flow of He Ills investigated. Finally, some two-dimensional simulations in a porous medium model are carried out.

Mots clés: Cryogenic; Two-fluid model; Superfluid helium; Simulation; PISO algorithm

Domaines: Physique Nucléaire Expérimentale [nucl-ex]

Cyprien Soulaine, Michel Quintard, Hervé Allain, Bertrand Baudouy, Rob van Weelderen. A PISO-like algorithm to simulate superfluid helium flow with the two-fluid model. Computer Physics Communications, 2015, 187, pp.20. ⟨10.1016/j.cpc.2014.10.006⟩. ⟨hal-01143063⟩