A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier

From MaRDI portal
Publication:1627107

DOI10.1016/j.ijengsci.2014.06.004zbMath1425.65089OpenAlexW2090739984MaRDI QIDQ1627107

Junseok Kim, Yongho Choi, Seunggyu Lee

Publication date: 22 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2014.06.004




Related Items (59)

Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn modelConsistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equationsFourth-Order Structure-Preserving Method for the Conservative Allen-Cahn EquationA stable and structure-preserving scheme for a non-local Allen-Cahn equationAn effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equationAn explicit hybrid finite difference scheme for the Allen-Cahn equationA positivity preserving and conservative variational scheme for phase-field modeling of two-phase flowsConservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flowsUnconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approachEfficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapesComputationally efficient approach for the minimization of volume constrained vector-valued Ginzburg-Landau energy functionalComparing the convected level-set and the Allen-Cahn phase-field methods in AMR/C simulations of two-phase flowsA simple and practical finite difference method for the phase-field crystal model with a strong nonlinear vacancy potential on 3D surfacesEnergy quadratization Runge-Kutta scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplierA fast and efficient numerical algorithm for fractional Allen-Cahn with precise nonlocal mass conservationHeuristic and Eulerian interface capturing approaches for shallow water type flow and application to granular flowsA finite difference method for a conservative Allen-Cahn equation on non-flat surfacesMaximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equationA convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEsA structure-preserving scheme for the Allen-Cahn equation with a dynamic boundary conditionA highly efficient variant of scalar auxiliary variable (SAV) approach for the phase-field fluid-surfactant modelUnconditionally stable exponential time differencing schemes for the mass‐conserving <scp>AllenCahn</scp> equation with nonlocal and local effectsUnconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equationsArbitrarily high‐order accurate and energy‐stable schemes for solving the conservative Allen–Cahn equationConservative Allen-Cahn equation with a nonstandard variable mobilityTemporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equationsHigh-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equationThe numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equationA radial basis function approximation method for conservative Allen-Cahn equations on surfacesStability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn modelA conservative second order phase field model for simulation of \(N\)-phase flowsHighly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid systemA consistent and conservative phase-field method for compressible multiphase flows with shocksA second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn modelGeneralized Allen-Cahn-type phase-field crystal model with FCC ordering structure and its conservative high-order accurate algorithmNovel mass-conserving Allen-Cahn equation for the boundedness of an order parameterAn unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energyA coupled phase field framework for solving incompressible two-phase flowsA conservative diffuse interface method for two-phase flows with provable boundedness propertiesConsistent, essentially conservative and balanced-force phase-field method to model incompressible two-phase flowsA meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheresHigh-order and mass conservative methods for the conservative Allen-Cahn equationNumerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functionsOptimal mass transport-based adaptive mesh method for phase-field models of two-phase fluid flowsA novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn modelNumerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical schemeUnconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraintFast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn modelMathematical model and its fast numerical method for the tumor growthExplicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equationsNumerical approximation of the conservative Allen–Cahn equation by operator splitting methodA new conservative Swift-Hohenberg equation and its mass conservative methodA high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplierA fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow systemA novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosityEfficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesiclesImplementing contact angle boundary conditions for second-order phase-field models of wall-bounded multiphase flowsNumerical approximation of the square phase-field crystal dynamics on the three-dimensional objectsPhase field modeling and computation of multi-component droplet evaporation



Cites Work




This page was built for publication: A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier