Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00946-x
Abstract: We present a set of linear, second order, unconditionally energy stable schemes for the Allen-Cahn equation with nonlocal constraints that preserves the total volume of each phase in a binary material system. The energy quadratization… read more here.
Keywords: nonlocal constraints; energy; second order; allen cahn ... See more keywords
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.10.013
Abstract: Abstract In this paper, we study a finite element approximation for a linear, first-order in time, unconditionally energy stable scheme proposed in [7] for solving the magneto-hydrodynamic equations. We first reformulate the semi-discrete scheme to… read more here.
Keywords: unconditionally energy; scheme; magneto hydrodynamic; hydrodynamic equations ... See more keywords
An energy-stable time-integrator for phase-field models
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DOI: 10.1016/j.cma.2016.12.017
Abstract: We introduce a provably energy-stable time-integration method for general classes of phase-field models with polynomial potentials. We demonstrate how Taylor series expansions of the nonlinear terms present in the partial differential equations of these models… read more here.
Keywords: field models; stable time; energy; phase field ... See more keywords
Linear energy stable methods for an epitaxial growth model with slope selection
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DOI: 10.1142/s0129183118500596
Abstract: We consider a phase field model for molecular beam epitaxial growth with slope selection with the goal of determining linear energy stable time integration methods for the dynamics. Stable methods for this model have been… read more here.
Keywords: slope; energy; model; linear energy ... See more keywords
Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model
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DOI: 10.4208/cicp.oa-2019-0175
Abstract: Here, we develop a first and a second order time stepping schemes for a binary fluid-surfactant phase field model by using the scalar auxiliary variable approach. The free energy contains a double-well potential, a nonlinear… read more here.
Keywords: unconditionally energy; schemes binary; energy; binary fluid ... See more keywords