Finite Volume Methods for Multi-fluid Models

11 Finite Volume Methods for Multi-fluid Models 

In this section, the path-breaking implicit interphace slip algorithm (IPSA) framework by Spalding [219-221] is outlined. Different designs of the basic algorithm for the novel multiphase properties are examined. Two stable and efficient semi-implicit fractional step algorithms for the solution of unsteady two-fluid models are presented in the subsequent section. The first semi-implicit numerical procedure was used simulating bubble column flows [97, 137]. The second semi-implicit fractional 

Step algorithm was employed for the solution of an unsteady two-fluid granular flow model [136], The latter semi-implicit procedure has also been extended in order to simulate reactive flows in fluidized beds [138], 

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A multi-zone model similar to the finite volume methods used in Computational Fluid Dynamics (CFD, see Section 12.5) is based on geometrical zones and assumes uniform conditions within each zone, that is, completely mixed (CSTR) zones, while essentially allowing conditions to differ between zones. For statistically stationary flow, the species balance equations for species A in zone i of iVcan then be written as ... 

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