A material point method for simulation of viscoelastic flows

A novel variant of the Material Point Method is proposed to solve flow problems for incompressible viscoelastic fluids. As in the original spirit of the method, material points possess all necessary information about the material constitutive behavior and move with the flow. They are additionally em...

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Bibliographic Details
Published inComputational particle mechanics Vol. 6; no. 3; pp. 311 - 325
Main Authors Gordon, Peter A., Liu, Fushen, Meier, Holger A., Panchadhara, Rohan, Srivastava, Vikas
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 15.07.2019
Springer Nature B.V
Subjects
Classical and Continuum Physics
Computational fluid dynamics
Computational Science and Engineering
Computer simulation
Conservation equations
Engineering
Fluid flow
Incompressible flow
Rotating cylinders
Rotating fluids
Theoretical and Applied Mechanics
Viscoelastic fluids
Viscoelasticity
Material point method
Giesekus
Viscoelastic flows
Eulerian-Lagrangian methods
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Summary:A novel variant of the Material Point Method is proposed to solve flow problems for incompressible viscoelastic fluids. As in the original spirit of the method, material points possess all necessary information about the material constitutive behavior and move with the flow. They are additionally employed as integration points, whose weights are computed as the system evolves in order to ensure exact integration of the discretized conservation equations. The method is shown to achieve quadratic convergence for transient start-up flow of the Oldroyd-B fluid. In addition, we apply the method to flow of a Giesekus fluid in concentric rotating cylinders, and in flow through an abrupt 4:1 contraction, comparing favorably to available analytical, experimental, and simulation results as appropriate.
ISSN:2196-4378
2196-4386
DOI:10.1007/s40571-018-0215-6