A fully deterministic micro-macro simulation of complex flows involving reversible network fluid models
By B. Mokdad, Amine Ammar, M. Normandin, Francisco Chinesta, J. Clermont. 2010
25 citations recorded by the source corpus.
Micro-macro models associate the coarse-grained molecular scale of the kinetic theory to the macroscopic scale of continuum mechanics. The conservation equations are solved along with the microscopic equation or the so-called Fokker-Planck equation. In this paper, a micro-macro approach based on the separated representation introduced in [2,3] with the Stream-Tube method [10-12,21,22] is implemented to study the main features of fiber and polymer networks solutions in complex flows. The Fokker-Planck equation, that defines the fluid microstructure, is solved using a separated representation strategy and is coupled to the macroscopic equations through the macroscopic extra-stress tensor evaluated at the microscopic level. Then, the flow kinematics is solved by applying the Stream-Tube method.
Subfields: Biomedical Engineering, Computational Mechanics, Fluid Flow and Transfer Processes
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
In Computational Mechanics
- Francisco Chinesta
- Amine Ammar
- Elías Cueto
- Anthony Nouy
- Antonio Falcó
- Sergey V. Dolgov
- Antonio Huerta
- Tony Lelièvre
In Fluid Flow and Transfer Processes
Citations in the corpus
- A literature survey of low‐rank tensor approximation techniques (2013, neutral): “• the solution of the Boltzmann equation [130, 150], and the chemical master / Fokker-Planck equations [4, 6, 62, 65, 87, 123, 134, 136, 197]”
- Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models (2010, background): “Finally the case of non-homogeneous flows was deeply analyzed in [40] and [35].”