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- Do-Quang, Minh, et al.
(författare)
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Numerical simulation of the coupling problems of a solid sphere impacting on a liquid free surface
- 2010
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Ingår i: Mathematics and Computers in Simulation. - : Elsevier BV. - 0378-4754 .- 1872-7166. ; 80:8, s. 1664-1673
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Tidskriftsartikel (refereegranskat)abstract
- This paper presents a model, using a phase-field method, that is able to simulate the motion of a solid sphere impacting on a liquid surface, including the effects of capillary and hydrodynamic forces. The basic phenomena that were the subject of our research effort are the small scale mechanism such as the wetting property of the solid surface which control the large scale phenomena of the interaction. The coupled problem during the impact will be formulated by the inclusion of the surface energies of the solid surface in the formulation, which gives a reliable prediction of the motion of solid objects in/on/out of a liquid surface and the hydrodynamic behaviours at small scales when the inertia of fluid is less important than its surface tension. Numerical results at different surface wettabilities and impact conditions will be presented and compared with the experiments of Duez el al. [C. Duez, C. Ybert, C. Clanet, L. Bocquet, Nat. Phys. 3 (2007) 180-183] and Lee and Kim [D. Lee. H. Kim, Langmuir 24 (1) (2008) 142]. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
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- Bernergård, Axel, et al.
(författare)
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Evolutionary Selection against Iteratively Weakly Dominated Strategies
- 2019
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Ingår i: Games and Economic Behavior. - : Elsevier BV. - 0899-8256 .- 1090-2473. ; 117, s. 82-97
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Tidskriftsartikel (refereegranskat)abstract
- This paper provides sufficient conditions under which regular payoff monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive a sequence of iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies and first-price auctions. Our conditions also imply evolutionary selection against iteratively strictly dominated strategies.
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- Engblom, Stefan, et al.
(författare)
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On diffuse interface modeling and simulation of surfactants in two-phase fluid flow
- 2013
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Ingår i: Communications in Computational Physics. - : Global Science Press. - 1815-2406 .- 1991-7120. ; 14:4, s. 879-915
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Tidskriftsartikel (refereegranskat)abstract
- An existing phase-fieldmodel of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model are suggested that substantially increase the domain of validity. Carefully designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model. A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.
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