A smooth extrapolation of scalar fields across interfaces restores formal second-order spatial accuracy in diffuse-interface IBMs for phase-change flows while preserving the divergence-free velocity condition.
Uhlmann, An immersed boundary method with direct forcing for the simulation of partic- ulate flows, Journal of Computational Physics 209 (2005) 448–476
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A second-order diffusive-interface immersed boundary method for incompressible flow with phase change and moving interfaces
A smooth extrapolation of scalar fields across interfaces restores formal second-order spatial accuracy in diffuse-interface IBMs for phase-change flows while preserving the divergence-free velocity condition.