title: On time discretizations for the simulation of the batch settling-compression process in one dimension.
abstract: The main purpose of the recently introduced Bürger-Diehl simulation model for secondary settling tanks was to resolve spatial discretization problems when both hindered settling and the phenomena of compression and dispersion are included. Straightforward time integration unfortunately means long computational times. The next step in the development is to introduce and investigate time-integration methods for more efficient simulations, but where other aspects such as implementation complexity and robustness are equally considered. This is done for batch settling simulations. The key findings are partly a new time-discretization method and partly its comparison with other specially tailored and standard methods. Several advantages and disadvantages for each method are given. One conclusion is that the new linearly implicit method is easier to implement than another one (semi-implicit method), but less efficient based on two types of batch sedimentation tests.
authors.affiliation: CI2MA and Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción, Chile E-mail: rburger@ing-mat.udec.cl.
authors.forename: Raimund
authors.initials: R
authors.lastname: Bürger
authors.affiliation: Centre for Mathematical Sciences, Lund University, PO Box 118, S-221 00 Lund, Sweden.
authors.forename: Stefan
authors.initials: S
authors.lastname: Diehl
authors.affiliation: CI2MA and Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción, Chile E-mail: rburger@ing-mat.udec.cl.
authors.forename: Camilo
authors.initials: C
authors.lastname: Mejías
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D012722:Sewage; D064091:Waste Disposal Facilities; D018508:Water Purification
chemical_list: D012722:Sewage