### Abstract

In the present paper we consider a mathematical model of the motion of particles in the surface air layer under the influence of sudden gusts of wind. The equations of motion were used in the Stoke's form. Gusts of wind determine the nonsmoothness of the velocity field, which can be modeled using the Heaviside function. For a number of parameters, a simulation of the particle's waning is performed, the complex nature of the trajectory is reflected. The results of the calculations show the significant influence of the nonsmooth velocity field on the qualitative behavior of particle motions.

Original language | English |
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Title of host publication | 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings |

Editors | L. N. Polyakova |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

ISBN (Electronic) | 9781509062607 |

DOIs | |

Publication status | Published - 10 Jul 2017 |

Event | 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg Duration: 21 May 2017 → 26 May 2017 http://www.pdmi.ras.ru/EIMI/2017/CNSA/ |

### Conference

Conference | 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 |
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Abbreviated title | CNSA 2017 |

Country | Russian Federation |

City | Saint-Petersburg |

Period | 21/05/17 → 26/05/17 |

Internet address |

### Fingerprint

### Scopus subject areas

- Modelling and Simulation
- Analysis
- Applied Mathematics
- Control and Optimization

### Cite this

*2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings*[7973950] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7973950

}

*2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings.*, 7973950, Institute of Electrical and Electronics Engineers Inc., Saint-Petersburg, 21/05/17. https://doi.org/10.1109/CNSA.2017.7973950

**Simulation of particle motion in the given nonsmooth speed fields.** / Davydenko, Alexander; Starkov, Vladimir; Stepenko, Nikolai.

Research output › › peer-review

TY - GEN

T1 - Simulation of particle motion in the given nonsmooth speed fields

AU - Davydenko, Alexander

AU - Starkov, Vladimir

AU - Stepenko, Nikolai

PY - 2017/7/10

Y1 - 2017/7/10

N2 - In the present paper we consider a mathematical model of the motion of particles in the surface air layer under the influence of sudden gusts of wind. The equations of motion were used in the Stoke's form. Gusts of wind determine the nonsmoothness of the velocity field, which can be modeled using the Heaviside function. For a number of parameters, a simulation of the particle's waning is performed, the complex nature of the trajectory is reflected. The results of the calculations show the significant influence of the nonsmooth velocity field on the qualitative behavior of particle motions.

AB - In the present paper we consider a mathematical model of the motion of particles in the surface air layer under the influence of sudden gusts of wind. The equations of motion were used in the Stoke's form. Gusts of wind determine the nonsmoothness of the velocity field, which can be modeled using the Heaviside function. For a number of parameters, a simulation of the particle's waning is performed, the complex nature of the trajectory is reflected. The results of the calculations show the significant influence of the nonsmooth velocity field on the qualitative behavior of particle motions.

UR - http://www.scopus.com/inward/record.url?scp=85027449531&partnerID=8YFLogxK

U2 - 10.1109/CNSA.2017.7973950

DO - 10.1109/CNSA.2017.7973950

M3 - Conference contribution

AN - SCOPUS:85027449531

BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

A2 - Polyakova, L. N.

PB - Institute of Electrical and Electronics Engineers Inc.

ER -