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math.NA2014★ 34 cited
Analysis of the diffuse-domain method for solving PDEs in complex geometries
Karl Yngve Lervåg, John Lowengrub
In recent work, Li et al.\ (Comm.\ Math.\ Sci., 7:81-107, 2009) developed a diffuse-domain method (DDM) for solving partial differential equations in complex, dynamic geometries wi…
math-ph2014★ 111 cited
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law
Zhenlin Guo, Ping Lin, John S. Lowengrub
In this paper, we investigate numerically a diffuse interface model for the Navier-Stokes equation with fluid-fluid interface when the fluids have different densities \cite{Lowengr…