Open Access
February 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
R. Glowinski, E.J. Dean, G. Guidoboni, L.H. Juárez, T.-W. Pan
Japan J. Indust. Appl. Math. 25(1): 1-63 (February 2008).

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.

Citation

Download Citation

R. Glowinski. E.J. Dean. G. Guidoboni. L.H. Juárez. T.-W. Pan. "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. 25 (1) 1 - 63, February 2008.

Information

Published: February 2008
First available in Project Euclid: 14 April 2008

zbMATH: 1141.76043
MathSciNet: MR2410542

Keywords: fictitious domain , free surface flow , Monge--Ampère equation , operator-splitting , particulate flow

Rights: Copyright © 2008 The Japan Society for Industrial and Applied Mathematics

Vol.25 • No. 1 • February 2008
Back to Top