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Modelling of the advection-diffusion equation with a meshless method without numerical diffusion
Citation
Gavete Corvinos, Luis Antonio and Ureña Prieto, Francisco and Benito Muñoz, Juan José and Gavete, Lucia (2010). Modelling of the advection-diffusion equation with a meshless method without numerical diffusion. In: "10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2010", 27/06/2010 - 30/06/2010, Almeria, España.
Description
| Title: | Modelling of the advection-diffusion equation with a meshless method without numerical diffusion |
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| Author/s: |
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| Item Type: | Presentation at Congress or Conference (Article) |
| Event Title: | 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2010 |
| Event Dates: | 27/06/2010 - 30/06/2010 |
| Event Location: | Almeria, España |
| Title of Book: | Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE2010 |
| Date: | 2010 |
| Subjects: | |
| Freetext Keywords: | advection-diffusion, generalized finite difference MSC2000: AMS Codes (optional) |
| Faculty: | E.T.S.I. Minas (UPM) |
| Department: | Matemática Aplicada a los Recursos Naturales [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
A comprehensive study is presented regarding the stability of the forward explicit integration technique with generalized finite difference spatial discretizations, free of numerical diffusion, applied to the advection-diffusion equation. The modified equivalent partial differential equation approach is used to demonstrate that the approximation is free of numerical diffusion. Two-dimensional results are obtained using the von Neumann method of stability analysis. Numerical results are presented showing the accuracy obtained
More information
| Item ID: | 7750 |
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| DC Identifier: | https://oa.upm.es/7750/ |
| OAI Identifier: | oai:oa.upm.es:7750 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 08 Aug 2011 07:58 |
| Last Modified: | 20 Apr 2016 16:47 |
