Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework

DOI10.1016/j.compfluid.2015.08.007zbMath1390.65132OpenAlexW1135366198MaRDI QIDQ1645975

Yen Ting Ng, Ásdís Helgadóttir, Chohong Min, Frédéric Gibou

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.08.007

zbMATH Keywords

level setmixed boundary conditionsfinite difference

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (8)

A multigrid ghost-point level-set method for incompressible Navier-Stokes equations on moving domains with curved boundaries ⋮ A one-sided direct forcing immersed boundary method using moving least squares ⋮ A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains ⋮ A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants ⋮ Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization ⋮ A finite difference discretization method for heat and mass transfer with Robin boundary conditions on irregular domains ⋮ Imposing mixed Dirichlet-Neumann-Robin boundary conditions on irregular domains in a level set/ghost fluid based finite difference framework ⋮ A locally second order symmetric method for discontinuous solution of Poisson's equation on uniform Cartesian grids

Cites Work

• Unnamed Item
• Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains
• A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid
• A finite element method for interface problems in domains with smooth boundaries and interfaces
• A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
• A sharp interface finite volume method for elliptic equations on Cartesian grids
• A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change
• An extended pressure finite element space for two-phase incompressible flows with surface tension
• An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane
• The Shortley-Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions
• A second order virtual node method for elliptic problems with interfaces and irregular domains
• Fictitious domain approach with \(hp\)-finite element approximation for incompressible fluid flow
• An efficient fluid-solid coupling algorithm for single-phase flows
• Numerical analysis of blood flow in the heart
• A level set approach for computing solutions to incompressible two-phase flow
• A hybrid method for moving interface problems with application to the Hele-Shaw flow
• Finite element methods and their convergence for elliptic and parabolic interface problems
• A level set approach for the numerical simulation of dendritic growth
• A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
• A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients
• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• A boundary condition capturing method for Poisson's equation on irregular domains
• A coupling interface method for elliptic interface problems
• Geometric integration over irregular domains with application to level-set methods
• A finite element method for the simulation of strong and weak discontinuities in solid mechanics
• High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
• The finite element method for elliptic equations with discontinuous coefficients
• Flow patterns around heart valves: A numerical method
• Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
• Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions
• The immersed boundary method
• A method for dynamic crack and shear band propagation with phantom nodes
• An efficient finite element method for embedded interface problems
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• A mortar element method for elliptic problems with discontinuous coefficients
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
• A boundary condition capturing method for multiphase incompressible flow.
• A boundary condition capturing method for incompressible flame discontinuities.

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