An immersed interface method for anisotropic elliptic problems on irregular domains in 2D

2004 ◽  
Vol 21 (2) ◽  
pp. 397-420 ◽  
Author(s):  
Miguel A. Dumett ◽  
James P. Keener
Keyword(s):  
Elliptic Problems ◽  
Irregular Domains ◽  
Immersed Interface Method ◽  
Immersed Interface

A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains

2020 ◽  
Vol 423 ◽  
pp. 109791
Author(s):  
Marilaine Colnago ◽  
Wallace Casaca ◽  
Leandro Franco de Souza
Keyword(s):  
High Order ◽  
Jump Conditions ◽  
Irregular Domains ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Poisson Equations

scholarly journals An immersed interface method for the Navier-Stokes equations on irregular domains

PAMM ◽  
2007 ◽  
Vol 7 (1) ◽  
pp. 1025401-1025402
Author(s):  
Zhilin Li ◽  
Ming-Chih Lai ◽  
Kazufumi Ito
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Irregular Domains ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Navier Stokes Equations

A fast immersed interface method for solving Stokes flows on irregular domains

2009 ◽  
Vol 38 (10) ◽  
pp. 1973-1983 ◽  
Author(s):  
Zhijun Tan ◽  
K.M. Lim ◽  
B.C. Khoo
Keyword(s):  
Irregular Domains ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Stokes Flows

scholarly journals ANALYSIS OF OPTICAL WAVEGUIDES WITH ARBITRARY INDEX PROFILE USING AN IMMERSED INTERFACE METHOD

2011 ◽  
Vol 22 (07) ◽  
pp. 687-710 ◽  
Author(s):  
THEODOROS P. HORIKIS
Keyword(s):  
Optical Waveguides ◽  
Eigenvalue Problems ◽  
Numerical Technique ◽  
Interface Problems ◽  
Index Profile ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Light Confinement ◽  
Bragg Fibers ◽  
Matrix Eigenvalue Problems

A numerical technique is described that can efficiently compute solutions of interface problems. These are problems with data, such as the coefficients of differential equations, discontinuous or even singular across one or more interfaces. A prime example of these problems are optical waveguides, and as such the scheme is applied to Maxwell's equations as they are formulated to describe light confinement in Bragg fibers. It is based on standard finite differences appropriately modified to take into account all possible discontinuities across the waveguide's interfaces due to the change of the refractive index. Second- and fourth-order schemes are described with additional adaptations to handle matrix eigenvalue problems, demanding geometries and defects.

scholarly journals MATHEMATICAL MODELLING AND COMPUTER SIMULATION OF TEMPERATURE DISTRIBUTION IN INHOMOGENEOUS COMPOSITE SYSTEMS WITH IMPERFECT INTERFACE

2014 ◽  
Vol 6 (2) ◽  
pp. 77-85
Author(s):  
Pratibha Joshi ◽  
Manoj Kumar
Keyword(s):  
Numerical Simulation ◽  
Heat Flux ◽  
Temperature Distribution ◽  
Imperfect Interface ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Composite Systems ◽  
Steady State Temperature ◽  
Perfect Interface ◽  
Inhomogeneous Composite

Many studies have been done previously on temperature distribution in inhomogeneous composite systems with perfect interface, having no discontinuities along it. In this paper we have determined steady state temperature distribution in two inhomogeneous composite systems with imperfect interface, having discontinuities in temperature and heat flux using decomposed immersed interface method and performed the numerical simulation on MATLAB.

High order immersed interface method for compressible transonic flows

2021 ◽  
Author(s):  
Ligia Velandia ◽  
Jhonathan Solarte Pineda ◽  
Paulo Greco
Keyword(s):  
High Order ◽  
Immersed Interface Method ◽  
Immersed Interface ◽  
Transonic Flows
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