publication . Other literature type . Article . 2008

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.; Giovanna GUIDOBONI; Juárez, L. H.; Pan, T. -W;
Open Access English
  • Published: 01 Feb 2008
  • Publisher: Japan Society for Industrial and Applied Mathematics
Abstract
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.
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: operator-splitting, particulate flow, free surface flow, Monge--Ampère equation, fictitious domain
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Other literature type . 2008
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publication . Other literature type . Article . 2008

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.; Giovanna GUIDOBONI; Juárez, L. H.; Pan, T. -W;

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