Simulation of the evolution of concentrated shear layers in a Maxwell fluid with a fast high-resolution finite-difference scheme

Raz Kupferman; Morton M. Denn

doi:10.1016/S0377-0257(98)00157-8

Simulation of the evolution of concentrated shear layers in a Maxwell fluid with a fast high-resolution finite-difference scheme

Raz Kupferman^*, Morton M. Denn

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We employ a new second-order extension of the Lax-Friedrichs scheme, with incompressibility imposed by means of a projection algorithm, to follow the evolution of the vorticity and stress fields for a Maxwell fluid in a two-dimensional periodic system initialized with two thin and concentrated shear layers. The scheme is simple, efficient, and robust, and is capable, in particular, of resolving large stress gradients.

Original language	English
Pages (from-to)	275-287
Number of pages	13
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	84
Issue number	2-3
DOIs	https://doi.org/10.1016/S0377-0257(98)00157-8
State	Published - 15 Aug 1999

Bibliographical note

Funding Information:
We are grateful to Professor Alexandre Chorin for his comments on the manuscript. R.K. was supported in part by the LBNL Directed Research and Development Program, and in part by the Applied Mathematical Sciences Subprogram of the Office of Energy Research, US Department of Energy, and M.M.D. by the Director, Office of Energy Research, Office of Basic Energy Sciences, Materials Science Division, U.S. Department of Energy, both under Contract Number DE-AC03-76SF-00098.

Keywords

Covergence
Maxwell
Resolution
Shear layers
Stress

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10.1016/S0377-0257(98)00157-8

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abstract = "We employ a new second-order extension of the Lax-Friedrichs scheme, with incompressibility imposed by means of a projection algorithm, to follow the evolution of the vorticity and stress fields for a Maxwell fluid in a two-dimensional periodic system initialized with two thin and concentrated shear layers. The scheme is simple, efficient, and robust, and is capable, in particular, of resolving large stress gradients.",

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N2 - We employ a new second-order extension of the Lax-Friedrichs scheme, with incompressibility imposed by means of a projection algorithm, to follow the evolution of the vorticity and stress fields for a Maxwell fluid in a two-dimensional periodic system initialized with two thin and concentrated shear layers. The scheme is simple, efficient, and robust, and is capable, in particular, of resolving large stress gradients.

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Simulation of the evolution of concentrated shear layers in a Maxwell fluid with a fast high-resolution finite-difference scheme

Abstract

Bibliographical note

Keywords

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