Numerical Simulations of a Polydisperse Sedimentation Model by Using Spectral WENO Method with Adaptive 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 work...

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Autores:
Tipo de recurso:
Fecha de publicación:
2016
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/8974
Acceso en línea:
https://hdl.handle.net/20.500.12585/8974
Palabra clave:
Adaptive multiresolution
Höfler and Schwarzer model
Spectral-based WENO
SSPRK methods
Numerical methods
Numerical models
Polydispersity
Adaptive multi resolutions
Essentially non-oscillatory
Numerical solution
Sedimentation model
Spectral-based WENO
SSPRK methods
Strong stability preserving
Time discretization
Runge Kutta methods
Rights
restrictedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary: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 species. © 2016 World Scientific Publishing Company.