Fictitious domain approach for numerical modelling of Navier–Stokes equations

By Khodor Khadra, Philippe Angot, S. Parneix, Jean-Paul Caltagirone. 2000

329 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2f0bfed46e029bdd20892870ebf0e64cb786d9d9

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In Computational Mechanics

Citations in the corpus

Three-dimensional Large Eddy Simulation of air entrainment under plunging breaking waves (2006, methodology): “Nevertheless, this method gives access to much reliable information about the velocity, acceleration and pressure fields under the broken waves.”
Topology optimization for unsteady flow (2011, background): “[31] propose a maximum impermeability that is dependent on the Reynolds number.”
A Comparison of Various Methods for the Numerical Evaluation of Porous Media Permeability Tensors from Pore-Scale Geometry (2016, methodology): “A fictitious domain approach (Khadra et al. 2000) is chosen to obtain unique set of equations for the whole domain.”
Navier–Stokes/Forchheimer models for filtration through porous media (2013, methodology): “Notice that this method can be enhanced to deal with inner solid regions too, following the so-called “fictitious domain” approach proposed in [39]: the modified Navier–Stokes equations are solved in the whole domain, with very strong variations of the permeability coefficient.”
Hybrid wavelet collocation–Brinkman penalization method for complex geometry flows (2002, unknown): “It can also be shown that the solution of the penalized equations converges to the exact solution in the limit as the penalization parameter tends to zero [6].”
On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries (2012, methodology): “In addition, the reconstruction procedure does not incur significant computational cost, and like the other methods, it maintains the order of accuracy of the finite-difference discretization of the bulk flow.”
A Fictitious domain approach with spread interface for elliptic problems with general boundary conditions (2007, methodology): “The fictitious domain method was introduced in the sixties [1] and for a few years now, fictitious domain methods have been hugely developed and have arisen in different fields: computational fluid dynamics [4], medical simulation [5], etc.”