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Application of the lattice Boltzmann method to two-phase Rayleigh–Benard convection with a deformable interface. (English) Zbl 1084.76061
Summary: The lattice Boltzmann method is extended to include the effects of interfacial tension and its dependence on temperature, and is applied to the problem of buoyancy-driven flow in a non-isothermal two-phase system. No a priori assumptions are made regarding the shape and dynamic roles of the interface. The behavior of interface is obtained as part of the solution of lattice Boltzmann equations. A parametric study of the effects of thermally induced density change, buoyancy, surface tension variation with temperature on interface dynamics, flow regimes and heat transfer is presented.

##### MSC:
 76M28 Particle methods and lattice-gas methods 76R10 Free convection 76D45 Capillarity (surface tension) for incompressible viscous fluids 80A20 Heat and mass transfer, heat flow (MSC2010)
##### Keywords:
Boussinesq approximation; Marangoni force
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##### References:
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