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Artículo

Order reduction in time integration caused by velocity projection

Arnold, Martín Alejandro; Cardona, AlbertoIcon ; Brüls, Olivier
Fecha de publicación: 07/2015
Editorial: Korean Soc Mechanical Engineers
Revista: Journal of Mechanical Science and Technology
ISSN: 1738-494X
e-ISSN: 1976-3824
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Ingeniería Mecánica

Resumen

Holonomic constraints restrict the configuration of a multibody system to a subset of the configuration space. They imply so called hidden constraints at the level of velocity coordinates that may formally be obtained from time derivatives of the original holonomic constraints. A numerical solution that satisfies hidden constraints as well as the original constraint equations may be obtained considering both types of constraints simultaneously in each time step (Stabilized index-2 formulation) or using projection techniques. Both approaches are well established in the time integration of differential-algebraic equations. Recently, we have introduced a generalized-α Lie group time integration method for the stabilized index-2 formulation that achieves second order convergence for all solution components. In the present paper, we show that a separate velocity projection would be less favourable since it may result in an order reduction and in large transient errors after each projection step. This undesired numerical behaviour is analysed by a one-step error recursion that considers the coupled error propagation in differential and algebraic solution components. This one-step error recursion has been used before to prove second order convergence for the application of generalized-α methods to constrained systems.
Palabras clave: Generalized-Α Method , Lie Group Time Integration , Velocity Projection
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/39529
DOI: http://dx.doi.org/10.1007/s12206-015-0501-7
URL: https://link.springer.com/article/10.1007%2Fs12206-015-0501-7
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Articulos(CIMEC)
Articulos de CENTRO DE INVESTIGACION DE METODOS COMPUTACIONALES
Citación
Arnold, Martín Alejandro; Cardona, Alberto; Brüls, Olivier; Order reduction in time integration caused by velocity projection; Korean Soc Mechanical Engineers; Journal of Mechanical Science and Technology; 29; 7; 7-2015; 2579-2585
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