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 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.

• 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/