A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows

By Neelesh A. Patankar, P. Singh, D. Joseph, Roland Glowinski, Tsorng-Whay Pan. 2000

421 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/ee025ee468deb8bd82732a8b2d2e8b0eac0c3002

How researchers see this paper

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In Computational Mechanics

1. Markus Uhlmann
2. S. Subramaniam
3. S. Tenneti
4. Jochen Fröhlich
5. Tobias Kempe
6. R. Garg
7. D. Joseph
8. Jos Derksen

Citations in the corpus

• Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method (2006, background): “On the other hand, the applied (explicit) splitting approach renders the overall scheme to be of first order only; however, since complex configurations with numerous particles typically require small time steps by physical reasons, the comparison with more implicit scheme, for instance [8, 19], is ”
• An immersed boundary method with direct forcing for the simulation of particulate flows (2005, background): “[20] proposed a related Lagrangian multiplier technique where— instead of velocity—the deformation-rate tensor was imposed in the particle sub-domains, thereby simplifying the treatment of irregularly-shaped particles.”
• Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres (2011, methodology): “The fictitious domain method with Lagrange multipliers has been developed to solve flow past many moving particles by several research groups (Patankar et al., 2000; Glowinski et al., 2001; Sharma and Patankar, 2005; Apte et al., 2009).”
• Modeling and numerical simulation of particulate flows by the Eulerian–Lagrangian approach (2001, methodology): “Use of such collision schemes are the most practical way of computing dense particulate flows by the direct numerical simulation approaches (e.g. Hu and N. Patankar 2000, Hu et al. 2000, Johnson and Tezduyar 1997, Glowinski et al.1999, N. Patankar et al. 2000) as well.”
• A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow (2001, methodology): “A computational method based on this approach is discussed in [18].”