Implicit Newton-Krylov methods for modeling blast furnace stoves
James W. Howse, Glen A. Hansen, D.J. Cagliostro, Kenneth R. Muske · University of North Texas Digital Library (University of North Texas) · 1997
In this paper we discuss the use of an implicit Newton-Krylov method to solve a set of partial differential equations representing a physical model of a blast furnace stove. The blast furnace stove is an integral part of the iron making process in the steel industry. These stoves are used to heat air which is then used in the blast furnace to chemically reduce iron ore to iron metal. The simulation of the stove's behavior is the first step in a program to reduce the cost of operating these stoves by minimizing the natural gas consumption during the heating cycle, while still maintaining a high enough output air temperature in the cooling cycle to drive the needed chemical reaction in the blast furnace. The formulation and solution of this optimal control problem will also be discussed. The solution technique used to solve the discrete representations of the model and control PDE's must be robust to linear systems with disparate eigenvalues, and must convergence rapidly without using tu...