Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution

Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution

In this work, we apply adaptive multiresolution (Harten’s approach) characteristic-wise fifth-order Weighted Essentially Non-Oscillatory (WENO) for computing the numerical solution of a polydisperse sedimentation model, namely, the Höfler and Schwarzer model. In comparison to other related works, time discretization is carried out with the ten-stage fourth-order strong stability preserving Runge–Kutta method which is more efficient than the widely used optimal third-order TVD Runge–Kutta method. Numerical results with errors, convergence rates and CPU times are included for four and 11.

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Main Authors: Vega Fuentes, Carlos Arturo, Arias, Francisco
Format: Artículo científico biblioteca
Language:eng
Published: 2015
Subjects:Spectral-based WENO, Adaptative multiresolution, Hofler and Schwarzer model, Modelos matemáticos, Teoría de juegos, Técnicas de previsión,
Online Access:http://repositorio.colciencias.gov.co/handle/11146/34121
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spelling dig-minciencias-co-20.500.14143-341212023-11-29T12:35:01Z Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution Vega Fuentes, Carlos Arturo Arias, Francisco Spectral-based WENO Adaptative multiresolution Hofler and Schwarzer model Modelos matemáticos Teoría de juegos Técnicas de previsión In this work, we apply adaptive multiresolution (Harten’s approach) characteristic-wise fifth-order Weighted Essentially Non-Oscillatory (WENO) for computing the numerical solution of a polydisperse sedimentation model, namely, the Höfler and Schwarzer model. In comparison to other related works, time discretization is carried out with the ten-stage fourth-order strong stability preserving Runge–Kutta method which is more efficient than the widely used optimal third-order TVD Runge–Kutta method. Numerical results with errors, convergence rates and CPU times are included for four and 11. Departamento Administrativo de Ciencia, Tecnología e Innovación [CO] Colciencias 1215-569-33836 Métodos adaptativos de multiresolución aplicado a la solución numérica de ciertos modelos descritos matemáticamente por leyes de conservación no 2019-03-25T17:30:20Z 2019-03-25T17:30:20Z 2015 info:eu-repo/date/embargoEnd/2024-01-31 Artículo científico info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article http://repositorio.colciencias.gov.co/handle/11146/34121 Contiene 23 referencias bibliográficas. Véase el documento adjunto 10.1142/S0219876216500377 eng Métodos adaptativos de multirresolución aplicado a la solución numérica de ciertos modelos descritos matemáticamente por leyes de conservación. La publicación completa está disponible en : <a href="http://repositorio.colciencias.gov.co/handle/11146/34119" target="blank">http://repositorio.colciencias.gov.co/handle/11146/34119</a> info:eu-repo/semantics/embargoedAccess pdf 14 páginas application/pdf Colombia International Journal of Computational Methods Vol. 13, No. 06, 1650037 (2016)
institution MINCIENCIAS CO
collection DSpace
country Colombia
countrycode CO
component Bibliográfico
access En linea
databasecode dig-minciencias-co
tag biblioteca
region America del Sur
libraryname Centro de Documentación y Biblioteca de MINCIENCIAS de Colombia
language eng
topic Spectral-based WENO
Adaptative multiresolution
Hofler and Schwarzer model
Modelos matemáticos
Teoría de juegos
Técnicas de previsión
Spectral-based WENO
Adaptative multiresolution
Hofler and Schwarzer model
Modelos matemáticos
Teoría de juegos
Técnicas de previsión
spellingShingle Spectral-based WENO
Adaptative multiresolution
Hofler and Schwarzer model
Modelos matemáticos
Teoría de juegos
Técnicas de previsión
Spectral-based WENO
Adaptative multiresolution
Hofler and Schwarzer model
Modelos matemáticos
Teoría de juegos
Técnicas de previsión
Vega Fuentes, Carlos Arturo
Arias, Francisco
Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution
description In this work, we apply adaptive multiresolution (Harten’s approach) characteristic-wise fifth-order Weighted Essentially Non-Oscillatory (WENO) for computing the numerical solution of a polydisperse sedimentation model, namely, the Höfler and Schwarzer model. In comparison to other related works, time discretization is carried out with the ten-stage fourth-order strong stability preserving Runge–Kutta method which is more efficient than the widely used optimal third-order TVD Runge–Kutta method. Numerical results with errors, convergence rates and CPU times are included for four and 11.
format Artículo científico
topic_facet Spectral-based WENO
Adaptative multiresolution
Hofler and Schwarzer model
Modelos matemáticos
Teoría de juegos
Técnicas de previsión
author Vega Fuentes, Carlos Arturo
Arias, Francisco
author_facet Vega Fuentes, Carlos Arturo
Arias, Francisco
author_sort Vega Fuentes, Carlos Arturo
title Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution
title_short Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution
title_full Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution
title_fullStr Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution
title_full_unstemmed Numerical simulations of a polidisperse sedimentation model by using spectral WENO method with adaptative multiresolution
title_sort numerical simulations of a polidisperse sedimentation model by using spectral weno method with adaptative multiresolution
publishDate 2015
url http://repositorio.colciencias.gov.co/handle/11146/34121
work_keys_str_mv AT vegafuentescarlosarturo numericalsimulationsofapolidispersesedimentationmodelbyusingspectralwenomethodwithadaptativemultiresolution
AT ariasfrancisco numericalsimulationsofapolidispersesedimentationmodelbyusingspectralwenomethodwithadaptativemultiresolution
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