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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.

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)
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