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Abstract:

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.

Registro:

Documento: Artículo
Título:High order computation of the history term in the equation of motion for a spherical particle in a fluid
Autor:Alexander, P.
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave: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
Año:2004
Volumen:21
Número:2
Página de inicio:129
Página de fin:143
DOI: http://dx.doi.org/10.1023/B:JOMP.0000030072.32108.d9
Título revista:Journal of Scientific Computing
Título revista abreviado:J Sci Comput
ISSN:08857474
CODEN:JSCOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v21_n2_p129_Alexander

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Citas:

---------- APA ----------
(2004) . High order computation of the history term in the equation of motion for a spherical particle in a fluid. Journal of Scientific Computing, 21(2), 129-143.
http://dx.doi.org/10.1023/B:JOMP.0000030072.32108.d9
---------- CHICAGO ----------
Alexander, P. "High order computation of the history term in the equation of motion for a spherical particle in a fluid" . Journal of Scientific Computing 21, no. 2 (2004) : 129-143.
http://dx.doi.org/10.1023/B:JOMP.0000030072.32108.d9
---------- MLA ----------
Alexander, P. "High order computation of the history term in the equation of motion for a spherical particle in a fluid" . Journal of Scientific Computing, vol. 21, no. 2, 2004, pp. 129-143.
http://dx.doi.org/10.1023/B:JOMP.0000030072.32108.d9
---------- VANCOUVER ----------
Alexander, P. High order computation of the history term in the equation of motion for a spherical particle in a fluid. J Sci Comput. 2004;21(2):129-143.
http://dx.doi.org/10.1023/B:JOMP.0000030072.32108.d9