Open AccessBook
On Efficient Multigrid Methods for Materials Processing Flows with Small Particles
Boris Diskin,Vasyl Harik +1 more
- 29 Jul 2013
TL;DR: A new multigrid algorithm has been developed for a case of multiscale modeling of flows with small particles that have various length scales that is crucial for accurate predictions of the effect of processing conditions on the local flow fields that control the formation of various microstructures or clusters.
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Abstract: Multiscale modeling of materials requires simulations of multiple levels of structural hierarchy. The computational efficiency of numerical methods becomes a critical factor for simulating large physical systems with highly desperate length scales. Multigrid methods are known for their superior efficiency in representing/resolving different levels of physical details. The efficiency is achieved by employing interactively different discretizations on different scales (grids). To assist optimization of manufacturing conditions for materials processing with numerous particles (e.g., dispersion of particles, controlling flow viscosity and clusters), a new multigrid algorithm has been developed for a case of multiscale modeling of flows with small particles that have various length scales. The optimal efficiency of the algorithm is crucial for accurate predictions of the effect of processing conditions (e.g., pressure and velocity gradients) on the local flow fields that control the formation of various microstructures or clusters.
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Citations
Carbon Nanotubes and Safety
Vasyl Harik
- 01 Jan 2014
TL;DR: In this article, the authors present a conceptual framework and a parametric map for the extrapolation of potential toxic effects resulting from the inhalation of carbon nanotubes, using the Cook's criteria for the asbestos-like pathologies that can be also caused by microscopic fibers.
2
•Proceedings Article
High-Performance Multigrid Solvers in Reconfigurable Hardware
Safaa J. Kasbah,Issam Damaj +1 more
- 01 Jan 2007
TL;DR: This paper presents a hardware implementation of the V-cycle Multigrid method for finding the solution of a 2D-Poisson equation using Handel-C to implement the hardware design, which is mapped onto available Field Programmable Gate Arrays (FPGAs).
References
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William L. Briggs,Van Emden Henson,Steve F. McCormick +2 more
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The stress generated in a non-dilute suspension of elongated particles by pure straining motion
TL;DR: In this article, the authors investigated the effect of interactions between rigid particles in a dilute suspension and showed that the contribution of particles to the bulk stress due to the interactions between them is relatively large, for volume fractions which are still small.
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•Book
Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics
Achi Brandt,Oren E. Livne +1 more
- 24 May 2011
TL;DR: This chapter discusses the development of fast solvers for transonic potential equations using the Cauchy-Riemann equations, as well as applications to Fluid Dynamics.
382
The hydrodynamic stress in a suspension of rods
TL;DR: In this paper, a theory is presented to describe the momentum transport properties of suspensions containing randomly placed, slender fibers, based on a diagrammatic representation of the multiple scattering expansion for the averaged Green's function as developed in the authors' previous work on the heat and mass transfer properties of fiber dispersions.
338
Multigrid Techniques: 1984 Guide with Applications to Fluid Dynamics, Revised Edition
Achi Brandt,Oren E. Livne +1 more
- 01 Jan 2011
TL;DR: In this paper, the authors present a survey of transonic potential equations solvers for MATLAB code and their applications in the field of fluid dynamics, including a discussion of the role of rigorous analysis and quantitative predictions.
290