Research advances and challenges in one-dimensional modeling of secondary settling tanks–a critical review

B Li, MK Stenstrom - Water research, 2014 - Elsevier
Sedimentation is one of the most important processes that determine the performance of the
activated sludge process (ASP), and secondary settling tanks (SSTs) have been frequently …

Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments

F Del Teso, J Endal, ER Jakobsen - SIAM Journal on Numerical Analysis, 2018 - SIAM
We develop a unified and easy to use framework to study robust fully discrete numerical
methods for nonlinear degenerate diffusion equations \partial_tu-Lφ(u)=f(x,t) in R^N*(0,T) …

Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory

F Del Teso, J Endal, ER Jakobsen - SIAM Journal on Numerical Analysis, 2019 - SIAM
We develop a unified and easy to use framework to study robust fully discrete numerical
methods for nonlinear degenerate diffusion equations \partial_tu-L^σ,μφ(u)=f\;in\;R^N*(0,T) …

Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors

R Bürger, J Careaga, S Diehl… - … Modelling and Numerical …, 2023 - esaim-m2an.org
Sequencing batch reactors (SBRs) are devices widely used in wastewater treatment,
chemical engineering, and other areas. They allow for the sedimentation and compression …

A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation

R Bürger, S Diehl, C Mejías - ESAIM: Mathematical Modelling and …, 2018 - esaim-m2an.org
Continuously operated settling tanks are used for the gravity separation of solid-liquid
suspensions in several industries. Mathematical models of these units form a topic for well …

Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with dam**

AF Pazoto, M Sepúlveda, OV Villagrán - Numerische Mathematik, 2010 - Springer
This work is devoted to the analysis of a fully-implicit numerical scheme for the critical
generalized Korteweg–de Vries equation (GKdV with p= 4) in a bounded domain with a …

Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension

R Bürger, R Ruiz, K Schneider… - … Modelling and Numerical …, 2008 - cambridge.org
We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear
strongly degenerate parabolic equations with zero-flux and periodic boundary conditions …

Monotone difference schemes stabilized by discrete mollification for strongly degenerate parabolic equations

CD Acosta, R Bürger, CE Mejía - Numerical Methods for Partial …, 2012 - Wiley Online Library
The discrete mollification method is a convolution‐based filtering procedure suitable for the
regularization of ill‐posed problems and for the stabilization of explicit schemes for the …

Numerical modeling of degenerate equations in porous media flow: degenerate multiphase flow equations in porous media

E Abreu, D Conceição - Journal of scientific computing, 2013 - Springer
In this paper is introduced a new numerical formulation for solving degenerate nonlinear
coupled convection dominated parabolic systems in problems of flow and transport in …

Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux

R Bürger, R Ruiz, K Schneider… - Journal of Engineering …, 2008 - Springer
A fully adaptive finite volume multiresolution scheme for one-dimensional strongly
degenerate parabolic equations with discontinuous flux is presented. The numerical scheme …