Modelling of the advection-diffusion equation with a meshless method without numerical diffusion

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
Author/s:
  • Gavete Corvinos, Luis Antonio
  • Ureña Prieto, Francisco
  • Benito Muñoz, Juan José
  • Gavete, Lucia
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

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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
DC Identifier: http://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
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