Simulation of particle motion in the given nonsmooth speed fields

Research outputpeer-review

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 languageEnglish
Title of host publication2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
EditorsL. N. Polyakova
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509062607
DOIs
Publication statusPublished - 10 Jul 2017
Event2017 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 201726 May 2017
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Conference

Conference2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Abbreviated titleCNSA 2017
CountryRussian Federation
CitySaint-Petersburg
Period21/05/1726/05/17
Internet address

Fingerprint

Velocity Field
Motion
Equations of motion
Heaviside step function
Simulation
Qualitative Behavior
Trajectories
Mathematical models
Stokes
Equations of Motion
Air
Mathematical Model
Trajectory
Influence
Form

Scopus subject areas

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

Cite this

Davydenko, A., Starkov, V., & Stepenko, N. (2017). Simulation of particle motion in the given nonsmooth speed fields. In L. N. Polyakova (Ed.), 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
Davydenko, Alexander ; Starkov, Vladimir ; Stepenko, Nikolai. / Simulation of particle motion in the given nonsmooth speed fields. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. editor / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017.
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Davydenko, A, Starkov, V & Stepenko, N 2017, Simulation of particle motion in the given nonsmooth speed fields. in LN Polyakova (ed.), 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.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. ed. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7973950.

Research outputpeer-review

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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.

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Davydenko A, Starkov V, Stepenko N. Simulation of particle motion in the given nonsmooth speed fields. In Polyakova LN, editor, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7973950 https://doi.org/10.1109/CNSA.2017.7973950