A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation

DOI10.4208/cicp.OA-2016-0155zbMath1488.76098OpenAlexW2740117223MaRDI QIDQ5159006

Cheng Liu, Changhong Hu

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2016-0155

zbMATH Keywords

ghost fluid methodPoisson equationjump conditionsinterface problem

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Interfacial stability and instability in hydrodynamic stability (76E17) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (11)

A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration ⋮ Application of discrete mechanics model to jump conditions in two-phase flows ⋮ A second-order modified ghost fluid method (2nd-MGFM) with discontinuous Galerkin method for 1-D compressible multi-medium problem with cylindrical and spherical symmetry ⋮ A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems ⋮ Alternating direction ghost-fluid methods for solving the heat equation with interfaces ⋮ Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review ⋮ A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals ⋮ An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients ⋮ Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC) ⋮ An augmented matched interface and boundary (MIB) method for solving elliptic interface problem ⋮ A new patch up technique for elliptic partial differential equation with irregularities

Cites Work

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