Applications of Operator-Splitting Methods to the Direct Numerical Simulation of Particulate and Free-Surface Flows and to the Numerical Solution of the Two-Dimensional Elliptic Monge--Ampère Equation
Glowinski, R. ; Dean, E.J. ; Guidoboni, G. ; Juárez, L.H. ; Pan, T.-W.
Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, p. 1-63 / Harvested from Project Euclid
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The main goal of this article is to review some recent applications of operator-splitting methods. We will show that these methods are well-suited to the numerical solution of outstanding problems from various areas in Mechanics, Physics and Differential Geometry, such as the direct numerical simulation of particulate flow, free boundary problems with surface tension for incompressible viscous fluids, and the elliptic real Monge--Ampère equation. The results of numerical experiments will illustrate the capabilities of these methods.
Publié le : 2008-02-15
Classification:  operator-splitting,  particulate flow,  free surface flow,  Monge--Ampère equation,  fictitious domain 
@article{1208196864,
     author = {Glowinski, R. and Dean, E.J. and Guidoboni, G. and Ju\'arez, L.H. and Pan, T.-W.},
     title = {Applications of Operator-Splitting Methods to the Direct Numerical Simulation of Particulate and Free-Surface Flows and to the Numerical Solution of the Two-Dimensional Elliptic Monge--Amp\`ere Equation},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {25},
     number = {1},
     year = {2008},
     pages = { 1-63},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1208196864}
}

Glowinski, R.; Dean, E.J.; Guidoboni, G.; Juárez, L.H.; Pan, T.-W. Applications of Operator-Splitting Methods to the Direct Numerical Simulation of Particulate and Free-Surface Flows and to the Numerical Solution of the Two-Dimensional Elliptic Monge--Ampère Equation. Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, pp.  1-63. http://gdmltest.u-ga.fr/item/1208196864/