Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method
This paper focuses on the numerical study of spherical particle sedimentation, taking into account hydrodynamic interactions. Infinite impulse response (IIR) digital filters, specially tailored to solve the sedimentation dynamics, were used in the present study to numerically solve the coupled ordin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-06-01
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| Series: | Dynamics |
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| Online Access: | https://www.mdpi.com/2673-8716/4/3/27 |
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| author | Driss Lahboub Rodolphe Heyd Mohamed Lotfi Abderrahim Bakak Abdelaziz Koumina |
| author_facet | Driss Lahboub Rodolphe Heyd Mohamed Lotfi Abderrahim Bakak Abdelaziz Koumina |
| author_sort | Driss Lahboub |
| collection | DOAJ |
| description | This paper focuses on the numerical study of spherical particle sedimentation, taking into account hydrodynamic interactions. Infinite impulse response (IIR) digital filters, specially tailored to solve the sedimentation dynamics, were used in the present study to numerically solve the coupled ordinary differential equations with the time-dependent coefficients of the problem. Hydrodynamic interactions are modeled using the Rotne–Prager–Yamakawa (RPY) approximation, to which a correction is made to better account for short-range interactions. In order to validate both the proposed numerical resolution method and the RPY correction, this paper begins with the study of two interacting spherical particle sedimentation methods. Comparisons with previously published analytical or numerical results confirm the relevance of the present approach. |
| format | Article |
| id | doaj-art-8e88631b269e4c189cd25be6bfe8d12f |
| institution | OA Journals |
| issn | 2673-8716 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Dynamics |
| spelling | doaj-art-8e88631b269e4c189cd25be6bfe8d12f2025-08-20T01:55:30ZengMDPI AGDynamics2673-87162024-06-014350652510.3390/dynamics4030027Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter MethodDriss Lahboub0Rodolphe Heyd1Mohamed Lotfi2Abderrahim Bakak3Abdelaziz Koumina4Laboratoire Interdisciplinaire de Recherche en Bio-Ressources Environnement et Matériaux (LIRBEM), Ecole Normale Supérieure (ENS), Cadi Ayyad University, Marrakech 40000, MoroccoLaboratoire Angevin de Mécanique, Procédés et innovAtion (LAMPA), Arts et Métiers ParisTech, 49035 Angers, FranceMaterials, Energy & Environment Laboratory (LaMEE), Faculté des Sciences Semlalia de Marrakech (FSSM), Cadi Ayyad University, Marrakech 40000, MoroccoLaboratoire Interdisciplinaire de Recherche en Bio-Ressources Environnement et Matériaux (LIRBEM), Ecole Normale Supérieure (ENS), Cadi Ayyad University, Marrakech 40000, MoroccoLaboratoire Interdisciplinaire de Recherche en Bio-Ressources Environnement et Matériaux (LIRBEM), Ecole Normale Supérieure (ENS), Cadi Ayyad University, Marrakech 40000, MoroccoThis paper focuses on the numerical study of spherical particle sedimentation, taking into account hydrodynamic interactions. Infinite impulse response (IIR) digital filters, specially tailored to solve the sedimentation dynamics, were used in the present study to numerically solve the coupled ordinary differential equations with the time-dependent coefficients of the problem. Hydrodynamic interactions are modeled using the Rotne–Prager–Yamakawa (RPY) approximation, to which a correction is made to better account for short-range interactions. In order to validate both the proposed numerical resolution method and the RPY correction, this paper begins with the study of two interacting spherical particle sedimentation methods. Comparisons with previously published analytical or numerical results confirm the relevance of the present approach.https://www.mdpi.com/2673-8716/4/3/27sedimentationhydrodynamic interactionsRotne–Prager–Yamakawa approximationStokesian dynamicsmobility matrixIIR filters |
| spellingShingle | Driss Lahboub Rodolphe Heyd Mohamed Lotfi Abderrahim Bakak Abdelaziz Koumina Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method Dynamics sedimentation hydrodynamic interactions Rotne–Prager–Yamakawa approximation Stokesian dynamics mobility matrix IIR filters |
| title | Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method |
| title_full | Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method |
| title_fullStr | Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method |
| title_full_unstemmed | Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method |
| title_short | Dynamics of Interacting Colloidal Particles Using the IIR Recursive Digital Filter Method |
| title_sort | dynamics of interacting colloidal particles using the iir recursive digital filter method |
| topic | sedimentation hydrodynamic interactions Rotne–Prager–Yamakawa approximation Stokesian dynamics mobility matrix IIR filters |
| url | https://www.mdpi.com/2673-8716/4/3/27 |
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