High order computation of the history term in the equation of motion for a spherical particle in a fluid

The historical evolution of the equation of motion for a spherical particle in a fluid and the search for its general solution are recalled. The presence of an integral term that is nonzero under unsteady motion and viscous conditions allowed simple analytical or numerical solutions for the particle...

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Detalles Bibliográficos
Autor principal: Alexander, Pedro M.
Publicado: 2004
Materias:
Equation of motion
High order method
History term
Computational methods
Equations of motion
Integral equations
Runge Kutta methods
Unsteady flow
Viscous flow
Spherical particles
Unsteady motions
Fluid dynamics
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v21_n2_p129_Alexander
http://hdl.handle.net/20.500.12110/paper_08857474_v21_n2_p129_Alexander
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_08857474_v21_n2_p129_Alexander
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spelling paper:paper_08857474_v21_n2_p129_Alexander2023-06-08T15:46:43Z High order computation of the history term in the equation of motion for a spherical particle in a fluid Alexander, Pedro M. Equation of motion High order method History term Computational methods Equations of motion Integral equations Runge Kutta methods Unsteady flow Viscous flow High order method History term Spherical particles Unsteady motions Fluid dynamics The historical evolution of the equation of motion for a spherical particle in a fluid and the search for its general solution are recalled. The presence of an integral term that is nonzero under unsteady motion and viscous conditions allowed simple analytical or numerical solutions for the particle dynamics to be found only in a few particular cases. A general solution to the equation of motion seems to require the use of computational methods. Numerical schemes to handle the integral term of the equation of motion have already been developed. We present here adaptations of a first order method for the implementation at high order, which may employ either fixed or variable computation time steps. Some examples are shown to establish comparisons between diverse numerical methods. Fil:Alexander, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v21_n2_p129_Alexander http://hdl.handle.net/20.500.12110/paper_08857474_v21_n2_p129_Alexander
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Equation of motion
High order method
History term
Computational methods
Equations of motion
Integral equations
Runge Kutta methods
Unsteady flow
Viscous flow
High order method
History term
Spherical particles
Unsteady motions
Fluid dynamics
spellingShingle Equation of motion
High order method
History term
Computational methods
Equations of motion
Integral equations
Runge Kutta methods
Unsteady flow
Viscous flow
High order method
History term
Spherical particles
Unsteady motions
Fluid dynamics
Alexander, Pedro M.
High order computation of the history term in the equation of motion for a spherical particle in a fluid
topic_facet Equation of motion
High order method
History term
Computational methods
Equations of motion
Integral equations
Runge Kutta methods
Unsteady flow
Viscous flow
High order method
History term
Spherical particles
Unsteady motions
Fluid dynamics
description The historical evolution of the equation of motion for a spherical particle in a fluid and the search for its general solution are recalled. The presence of an integral term that is nonzero under unsteady motion and viscous conditions allowed simple analytical or numerical solutions for the particle dynamics to be found only in a few particular cases. A general solution to the equation of motion seems to require the use of computational methods. Numerical schemes to handle the integral term of the equation of motion have already been developed. We present here adaptations of a first order method for the implementation at high order, which may employ either fixed or variable computation time steps. Some examples are shown to establish comparisons between diverse numerical methods.
author Alexander, Pedro M.
author_facet Alexander, Pedro M.
author_sort Alexander, Pedro M.
title High order computation of the history term in the equation of motion for a spherical particle in a fluid
title_short High order computation of the history term in the equation of motion for a spherical particle in a fluid
title_full High order computation of the history term in the equation of motion for a spherical particle in a fluid
title_fullStr High order computation of the history term in the equation of motion for a spherical particle in a fluid
title_full_unstemmed High order computation of the history term in the equation of motion for a spherical particle in a fluid
title_sort high order computation of the history term in the equation of motion for a spherical particle in a fluid
publishDate 2004
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v21_n2_p129_Alexander
http://hdl.handle.net/20.500.12110/paper_08857474_v21_n2_p129_Alexander
work_keys_str_mv AT alexanderpedrom highordercomputationofthehistorytermintheequationofmotionforasphericalparticleinafluid
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