scholarly journals Numerical simulation and optimal shape for viscous flow by a fictitious domain method

1995 ◽  
Vol 20 (8-9) ◽  
pp. 695-711 ◽  
Author(s):  
Roland Glowinski ◽  
Tsorng-Whay Pan ◽  
Anthony J. Kearsley ◽  
Jacques Periaux
Keyword(s):  
Numerical Simulation ◽  
Viscous Flow ◽  
Optimal Shape ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method

THE TECHNIQUE OF THE IMMERSED BOUNDARY METHOD: APPLICATIONS TO THE NUMERICAL SOLUTIONS OF IMCOMPRESSIBLE FLOWS AND WAVE SCATTERING

2009 ◽  
Vol 23 (03) ◽  
pp. 437-440 ◽  
Author(s):  
HONGQUAN CHEN ◽  
LING RAO
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Immersed Boundary Method ◽  
Fictitious Domain ◽  
Immersed Boundary ◽  
Fictitious Domain Method ◽  
Lagrangian Multipliers ◽  
Element Discretization ◽  
Domain Method ◽  
Boundary Method

A fictitious domain method, in which the Dirichlet boundary conditions are treated using boundary supported Lagrangian multipliers, is considered. The technique of the immersed boundary method is incorporated into the framework of the fictitious domain method. Contrary to conventional methods, it does not make use of the finite element discretization. It has a simpler structure and is easily programmable. The numerical simulation of two-dimensional incompressible inviscid uniform flows over a circular cylinder validates the methodology and the numerical procedure. The numerical simulation of propagation phenomena for time harmonic electromagnetic waves by methods combining controllability and fictitious domain techniques is also presented. Using distributed Lagrangian multipliers, the propagation of the wave can be simulated on an obstacle free computational region with regular finite element meshes essentially independent of the geometry of the obstacle and by a controllability formulation which leads to algorithms with good convergence properties for time-periodic solutions. The numerical results presented are in good agreement with those in the literature using obstacle fitted meshes.

Sign in / Sign up

Export Citation Format

Share Document