Embedding sharp interfaces within the lattice Boltzmann method for fluids with arbitrary density ratios |
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Authors: | C E Knutson D R Noble |
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Institution: | (1) Sandia National Laboratories, Albuquerque, NM 87185-0826, USA |
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Abstract: | Current lattice Boltzmann methods for simulating two fluids create a diffuse interface between the fluids. In this work, we
develop a novel technique for embedding sharp interfaces between fluids with unbounded density ratios for the LB method. Distribution
functions streamed across an interface are transformed so that the receiving node is passed information corresponding to its
fluid phase. Two different methods are employed to determine the transformation. The first uses analytical distribution functions
from steady Poiseuille flow to determine the jump in moments of the distribution functions across the interface. The second
uses approximate expansions of distribution functions to determine jumps in distribution functions. The accuracy and stability
of the methods are examined in simulations of Poiseuille-Couette flows with an interface parallel to the walls. Both methods
show linear convergence to the analytical solution. |
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Keywords: | |
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