An energy estimate and a stabilized Lagrange–Galerkin scheme for a multiphase flow model
Applied Mathematics Letters(2024)
摘要
Multiphase flow models are commonly employed for understanding complex fluid flows, while few mathematical discussions exist. For a general multiphase flow model in Gidaspow (1994), an energy decay property is proved. A stabilized Lagrange–Galerkin scheme for the model and its stability property are presented. Here, a hyperbolic tangent transformation is employed to preserve the boundedness of the volume fraction. A novel artificial term is added to obtain the stability property. Two-dimensional numerical examples exhibit the experimental order of convergence and applicability in modeling sedimentation phenomena.
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关键词
Multiphase flow,Energy estimate,Stabilized Lagrange–Galerkin,Bound and mass preservation
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