Random sampling remap for compressible two-phase flows

•We introduce a new scheme for two-fluid flows without pressure oscillation.•It is based on a random sampling no numerical diffusion at the interface.•We compare it with a recent modified ghost fluid approach.•We exhibit numerical convergence despite the two schemes are non-conservative. In this pap...

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Bibliographic Details
Published in:Computers & fluids 2013-11, Vol.86, p.275-283
Main Authors: Bachmann, Mathieu, Helluy, Philippe, Jung, Jonathan, Mathis, Hélène, Müller, Siegfried
Format: Article
Language:English
Subjects:
Analysis of PDEs
Computational fluid dynamics
Convergence
Finite volume
Fluid flow
Fluids
Ghost fluid method
Ghosts
Glimm scheme
Godunov scheme
Lagrange-projection
Mathematical models
Mathematics
Pressure oscillations
Random sampling
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Summary:•We introduce a new scheme for two-fluid flows without pressure oscillation.•It is based on a random sampling no numerical diffusion at the interface.•We compare it with a recent modified ghost fluid approach.•We exhibit numerical convergence despite the two schemes are non-conservative. In this paper we address the problem of solving accurately gas–liquid compressible flows without pressure oscillations at the gas–liquid interface. We introduce a new Lagrange-projection scheme based on a random sampling technique introduced by Chalons and Goatin (2007) [7]. We compare it to a ghost fluid approach introduced in Wang et al. (2006), Müller et al. (2009) [25,20] which is based on the ghost fluid method for the poor (Abgrall and Karni, 2001) [2]. Despite the non-conservative feature of the schemes, we observe the numerical convergence towards the relevant weak solution for shock-contact interaction test cases.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2013.07.010