Raimund Bürger, Stefan Diehl, María Carmen Martí, Pep Mulet, Ingmar Nopens, Elena Torfs, Peter Vanrolleghem:
Numerical solution of a multi-class model for batch settling in water resource recovery facilities
In [E. Torfs et al., Water Sci. Technol., in press] a new unied framework to model settling tanks in water resource recovery facilities was proposed providing a set of partial differential equations (PDEs) modelling different settling unit processes in wastewater treatment such as primary and secondary settling tanks (PSTs and SSTs). The extension to a multi-class framework to deal with the distributed properties of the settling particles leads to a system of nonlinear hyperbolic-parabolic PDEs whose solutions may contain really sharp transitions. This necessitates the use of a consistent and robust numerical method to obtain well-resolved and reliable approximations to the PDE solutions. The use of implicit-explicit Runge-Kutta (IMEX-RK) schemes, along with the weighted essentially non-oscillatory (WENO) shock-capturing technology for the discretization of the set of equations, is advocated in this work. The versatility of the proposed unied framework is demonstrated through a set of numerical examples for batch settling occuring in both PSTs and SSTs, along with the efficiency and reliability of the numerical scheme.
Esta prepublicacion dio origen a la(s) siguiente(s) publicación(es) definitiva(s):
Raimund BüRGER, Stefan DIEHL, María Carmen MARTí, Pep MULET, Ingmar NOPENS, Elena TORFS, Peter VANROLLEGHEM: Numerical solution of a multi-class model for batch settling in water resource recovery facilities. Applied Mathematical Modelling, vol. 49, pp. 415-436, (2017).