A review of spurious currents in the lattice Boltzmann method for multiphase flows

A spurious current is a small-amplitude artificial velocity field which arises from an imbalance between discretized forces in multiphase/multi-component flows. If it occurs, the velocity field may persist indefinitely, preventing the achievement of a true equilibrium state. Spurious velocities can...

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Bibliographic Details
Published in:Journal of mechanical science and technology 2012, 26(12), , pp.3857-3863
Main Authors: Connington, Kevin, Lee, Taehun
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computational methods in fluid dynamics
Computer simulation
Condensed matter: structure, mechanical and thermal properties
Control
Dynamical Systems
Engineering
Exact sciences and technology
Fluid dynamics
Fluid surfaces and fluid-fluid interfaces
Fundamental areas of phenomenology (including applications)
Industrial and Production Engineering
Instability
Lattices
Mathematical models
Mechanical Engineering
Multiphase
Multiphase flow
Nonhomogeneous flows
Physics
Stability
Surface energy (surface tension, interface tension, angle of contact, etc.)
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
Vibration
기계공학
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Summary:A spurious current is a small-amplitude artificial velocity field which arises from an imbalance between discretized forces in multiphase/multi-component flows. If it occurs, the velocity field may persist indefinitely, preventing the achievement of a true equilibrium state. Spurious velocities can sometimes be as large as the characteristic velocities of the problem, causing severe instability and ambiguity between physical and spurious velocities. They are typically exacerbated by large values of numerical surface tension or when the two fluids being simulated have large density ratios. The resulting instability can restrict what parameters may be simulated. To varying degrees, spurious currents are found in all multiphase flow models of the lattice Boltzmann method (LBM). There have been many studies of the occurrence of the phenomenon, and many suggestions on how to eliminate it. This paper reviews the three main models of simulating multiphase/multi-component flow in the lattice Boltzmann method, as well as the subsequent modifications made in order to reduce or eliminate spurious currents.
ISSN:1738-494X
1976-3824
DOI:10.1007/s12206-012-1011-5