In this paper, we introduce a two-phase flow model which describes the motion of two incompressible fluids. The proposed model is governed by nonlinear partial differential algebraic equations (PDAEs) with open initial-boundary conditions. The well-posedness of the boundaries is analyzed using characteristic curves, which leads to development of a boundaryâ€¦ (More)

In this paper, we introduce the Laplace-space approach to a linearized two-phase flow model governed by a set of hyperbolic-like partial differential equations (PDEs). Compared to the discretization approaches to PDEs, which result in a large number of ordinary differential equations (ODEs), the Laplace-space approach gives a set of functional relationshipsâ€¦ (More)

A common approach to fluid flow modelling is based on a fine spatial discretization of the Navier-Stokes equations, which results in a large number of flow variables (i.e., microstates). For the purpose of flow control, the flow variables may be considered to be aggregated on a macroscopic level that goes beyond the fine modelling grid for a practicalâ€¦ (More)

This paper presents a control-oriented model of the magnetic flux in the International Tokamak Experimental Reactor (ITER) actuated with Electron Cyclotron Current Drive (ECCD) at different locations. The main objective of the control-oriented modeling is to derive an input/output representation of the magnetic profile written as a state-space model. Theâ€¦ (More)