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Professor MIKHAIL TRETYAKOV's Outputs (3)

Geometric integrator for Langevin systems with quaternion-based rotational degrees of freedom and hydrodynamic interactions (2017)
Journal Article
Davidchack, R., Ouldridge, T., & Tretyakov, M. (in press). Geometric integrator for Langevin systems with quaternion-based rotational degrees of freedom and hydrodynamic interactions. Journal of Chemical Physics, 147(22), Article 224103. https://doi.org/10.1063/1.4999771

We introduce new Langevin-type equations describing the rotational and translational motion of rigid bodies interacting through conservative and non-conservative forces, and hydrodynamic coupling. In the absence of non-conservative forces the Langevi... Read More about Geometric integrator for Langevin systems with quaternion-based rotational degrees of freedom and hydrodynamic interactions.

Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability (2017)
Journal Article
Matveev, M. Y., Ball, F. G., Jones, I. A., Long, A. C., Schubel, P. J., & Tretyakov, M. V. (2018). Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability. Journal of Composite Materials, 52(16), 2255-2269. https://doi.org/10.1177/0021998317741951

© 2017, The Author(s) 2017. Resin transfer moulding is one of several processes available for manufacturing fibre-reinforced composites from dry fibre reinforcement. Recently, dry reinforcements made with Automated Dry Fibre Placement have been intro... Read More about Uncertainty in geometry of fibre preforms manufactured with Automated Dry Fibre Placement and its effects on permeability.

Stochastic resin transfer molding process (2017)
Journal Article
Park, M., & Tretyakov, M. (in press). Stochastic resin transfer molding process. SIAM/ASA Journal on Uncertainty Quantification, 5(1), https://doi.org/10.1137/16M1096578

We consider one-dimensional and two-dimensional models of the stochastic resin transfer molding process, which are formulated as random moving boundary problems. We study their properties, analytically in the one-dimensional case and numerically in t... Read More about Stochastic resin transfer molding process.