Imposing mixed Dirichlet-Neumann-Robin boundary conditions on irregular domains in a level set/ghost fluid based finite difference framework

Computers & Fluids ◽

10.1016/j.compfluid.2020.104772 ◽

2021 ◽

Vol 214 ◽

pp. 104772

Author(s):

Min Chai ◽

Kun Luo ◽

Haiou Wang ◽

Shuihua Zheng ◽

Jianren Fan

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Level Set ◽

Robin Boundary Conditions ◽

Irregular Domains ◽

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A finite difference discretization method for heat and mass transfer with Robin boundary conditions on irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2019.108890 ◽

2020 ◽

Vol 400 ◽

pp. 108890 ◽

Author(s):

Min Chai ◽

Kun Luo ◽

Changxiao Shao ◽

Haiou Wang ◽

Jianren Fan

Keyword(s):

Mass Transfer ◽

Finite Difference ◽

Boundary Conditions ◽

Heat And Mass Transfer ◽

Robin Boundary Conditions ◽

Discretization Method ◽

Irregular Domains ◽

Finite Difference Discretization ◽

Robin Boundary ◽

Difference Discretization

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Interface-resolved detailed numerical simulation of evaporating two-phase flows with robin boundary conditions on irregular domains

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2019.118774 ◽

2019 ◽

Vol 145 ◽

pp. 118774 ◽

Author(s):

Min Chai ◽

Kun Luo ◽

Changxiao Shao ◽

Haiou Wang ◽

Jianren Fan

Keyword(s):

Numerical Simulation ◽

Boundary Conditions ◽

Robin Boundary Conditions ◽

Irregular Domains ◽

Two Phase Flows ◽

Two Phase ◽

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A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.01.001 ◽

2019 ◽

Vol 350 ◽

pp. 283-304 ◽

Author(s):

Pradip Roul ◽

V.M.K. Prasad Goura ◽

Ravi Agarwal

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

General Class ◽

Robin Boundary Conditions ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Compact Finite Difference Method ◽

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Poisson equations in irregular domains with Robin boundary conditions — Solver with second-order accurate gradients

Journal of Computational Physics ◽

10.1016/j.jcp.2018.03.022 ◽

2018 ◽

Vol 365 ◽

pp. 1-6 ◽

Author(s):

Victoria Arias ◽

Daniil Bochkov ◽

Frederic Gibou

Keyword(s):

Boundary Conditions ◽

Second Order ◽

Robin Boundary Conditions ◽

Irregular Domains ◽

Poisson Equations ◽

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Positive solutions for the p-Laplacian with Robin boundary conditions on irregular domains

Applied Mathematics Letters ◽

10.1016/j.aml.2010.11.022 ◽

2011 ◽

Vol 24 (4) ◽

pp. 588-591 ◽

Author(s):

P. Drábek ◽

I. Schindler

Keyword(s):

Boundary Conditions ◽

Positive Solutions ◽

Robin Boundary Conditions ◽

Irregular Domains ◽

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Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507080052 ◽

2007 ◽

Vol 47 (8) ◽

pp. 1268-1284 ◽

Author(s):

M. M. Potapov

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Conditions ◽

Weak Solutions ◽

Finite Difference Approximation ◽

Difference Approximation ◽

Robin Boundary Conditions ◽

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

Computers & Fluids ◽

10.1016/j.compfluid.2015.08.007 ◽

2015 ◽

Vol 121 ◽

pp. 68-80 ◽

Author(s):

Ásdís Helgadóttir ◽

Yen Ting Ng ◽

Chohong Min ◽

Frédéric Gibou

Keyword(s):

Boundary Conditions ◽

Level Set ◽

Robin Boundary Conditions ◽

Robin Boundary ◽

Level Set Framework

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Generalization of the Exact Solution of 1D Poisson Equation with Robin Boundary Conditions, Using the Finite Difference Method

Journal of Electromagnetic Analysis and Application ◽

10.4236/jemaa.2014.612038 ◽

2014 ◽

Vol 06 (12) ◽

pp. 372-381

Author(s):

Serigne Bira Gueye ◽

Kharouna Talla ◽

Cheikh Mbow

Keyword(s):

Exact Solution ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Robin Boundary Conditions ◽

The Finite Difference Method ◽

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A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

Soft Computing ◽

10.1007/s00500-021-06056-x ◽

2021 ◽

Author(s):

Nikita Setia ◽

R. K. Mohanty

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Difference Method ◽

Robin Boundary Conditions ◽

Point Boundary ◽

Third Order ◽

Variable Mesh ◽

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A Poisson–Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid

Journal of Computational Physics ◽

10.1016/j.jcp.2011.02.010 ◽

2011 ◽

Vol 230 (10) ◽

pp. 3830-3848 ◽

Author(s):

Ásdís Helgadóttir ◽

Frédéric Gibou

Keyword(s):

Boundary Conditions ◽

Adaptive Grid ◽

Robin Boundary Conditions ◽

Irregular Domains ◽

Poisson Boltzmann ◽

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