The relationship between discreteand continuous-time State Task Network (STN) representations is studied. We show that the continuous-time model of Maravelias and Grossmann (2003) is a generalization of the discrete-time model of Shah et al. (1993). More specifically, discrete-time models can be shown to be a special case of continuous-time models if two restrictions are imposed on the latter: ...

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In this paper, we extend Grossmann and Lohse’s (GL) model [S. D. Lohse, “Thermal convection for large Prandtl numbers,” Phys. Rev. Lett. 86, 3316 (2001)] the predictions of Reynolds number (Re) Nusselt (Nu) in turbulent Rayleigh–Bénard convection. Toward objective, use functional forms prefactors dissipation rates bulk boundary layers. The arise due to inhibition nonlinear interactions presence...

The Ra and Pr number scaling of the Nusselt number Nu, the Reynolds number Re, the temperature fluctuations, and the kinetic and thermal dissipation rates is studied for snumericald homogeneous Rayleigh–Bénard turbulence, i.e., Rayleigh–Bénard turbulence with periodic boundary conditions in all directions and a volume forcing of the temperature field by a mean gradient. This system serves as mo...

The goal of this paper is to develop models and methods that use complementary strengths of Mixed Integer Linear Programming (MILP) and Constraint Programming (CP) techniques to solve problems that are otherwise intractable if solved using either of the two methods. The class of problems considered in this paper have the characteristic that only a subset of the binary variables have non-zero ob...

A multiperiod MINLP model for offshore oilfield infrastructure planning is presented where nonlinear reservoir behavior is incorporated directly into the formulation. Discrete decisions include the selection of production platforms, well platforms and wells to be installed/drilled, as well as the drilling schedule for the wells over the planning horizon. Continuous decisions include the capacit...

In a series of two papers, we investigate the setting up and solving of conditional models within an equation-based modeling environment. Conditional models arise in chemical engineering when modeling systems involve physicochemical discontinuities, such as phase transitions. Grossmann and Turkay (1996) show how one can represent conditional models as algebraic systems of disjunctive equations....