120 citations · 330 across the 5 of their papers we have counts for
5 papers
Modeling the vertical growth of van der Waals stacked 2D materials using the diffuse domain method
Zhenlin Guo, Christopher Price, Vivek B. Shenoy +1
Vertically-stacked monolayers of graphene and other atomically-thin 2D materials have attracted considerable research interest because of their potential in fabricating materials w…
Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries
Fei Yu, Zhenlin Guo, John Lowengrub
The diffuse-domain, or smoothed boundary, method is an attractive approach for solving partial differential equations in complex geometries because of its simplicity and flexibilit…
Mass Conservative and Energy Stable Finite Difference Methods for the Quasi-incompressible Navier-Stokes-Cahn-Hilliard system: Primitive Variable and Projection-Type Schemes
Zhenlin Guo, Ping Lin, Steven Wise +1
In this paper we describe two fully mass conservative, energy stable, finite difference methods on a staggered grid for the quasi-incompressible Navier-Stokes-Cahn-Hilliard (q-NSCH…
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…
A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects
Zhenlin Guo, Ping Lin
In this paper, we develop a phase-field model for binary incompressible (quasi-incompressible) fluid with thermocapillary effects, which allows for the different properties (densit…