Theoretical modelling of electrokinetic flow in microchannel networks
We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacementvelocity- multiplier and to the reduced displacement-multiplier forms. The analysis of the transformed system shows that con...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/20901 |
| Acceso en línea: | http://hdl.handle.net/11336/20901 |
| Access Level: | acceso abierto |
| Palabra clave: | Microfluidics Electrokinetic Flow Analytical Chips Circuit Modelling https://purl.org/becyt/ford/2.11 https://purl.org/becyt/ford/2 |
| Sumario: | We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacementvelocity- multiplier and to the reduced displacement-multiplier forms. The analysis of the transformed system shows that conditioning and sensitivity to perturbations become independent of the time step size, as in the case of well-behaved ordinary differential equations. The new scaling transformation is simple to implement and does not require the rewriting of the system equations as other approaches do. The theoretical analysis is confirmed by numerical examples. |
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