Alternating direction ghost-fluid methods for solving the heat equation with interfaces

DOI10.1016/j.camwa.2020.04.027zbMath1447.65027OpenAlexW3029806978MaRDI QIDQ2194793

Stacy Ashlyn, Zhihan Wei, Cameron Campbell, Guangqing Long, Chuan Li, Shan Zhao

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.04.027

zbMATH Keywords

ghost fluid methodparabolic interface problemmatched interface and boundary (MIB)alternating direction implicit (ADI)

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration ⋮ Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization ⋮ A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains ⋮ Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review ⋮ Conservative formulations for heat transfer simulation with sharp interfaces and discontinuous properties in two-phase flows ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface ⋮ A multigrid based finite difference method for solving parabolic interface problem

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