RZRM: Research
Simulation of Glass-Forming Processes
Funding: Vitro Tec, Monterrey, México
Dates: 1986 - 1990
People: Antonio López (Vitro Tec)
Project Leader

Guillermo Carro (Vitro Tec)
Project Leader

Arturo Ortega (Vitro Tec)
Assistant Researcher

Roger Z. Ríos (Vitro Tec)
Assistant Researcher

Ma. Soledad Martínez (Vitro Tec)
Assistant Researcher

Summary: Prior to starting my graduate work at the University of Texas, I spent four years in Monterrey, working for Vitro Tec, a research and development firm belonging to Vitro, México's leading enterprise in the glass industry. During that time, I was given the challenge of conducting independent computer-assisted research in the area of simulation of thermal processes. The work mainly involved the mathematical modeling and computer implementation of algorithms for simulating glass-forming processes, which can be decomposed in two stages. In the first stage, a drop of melted glass (at a very high temperature) is deposited in a container (mold). This drop is then pressed toward the walls of the container by introducing either a press or a strong blow. Determining the temperature distribution associated with several scenarios is a major concern for the quality of the product. I modeled this heat transfer process by the finite element method. The four-year project involved research and development on (a) linear and quadratic interpolations for the discretization of the domain by finite elements, (b) one-dimensional and two-dimensional domains, and (c) steady-state and time-dependent models.

As a result of the research, we observed that using quadratic instead of linear interpolation increased significantly the computational requirements but not the accuracy of the solution. As expected, the two-dimensional models gave us a more faithful representation of the real process. The models were validated with real-world data coming from our plants and are currently being used.

Publications:
Thesis
[1] R. Z. Ríos Mercado. Solution of Two-Dimensional Steady State Heat Transfer Equation by the Finite Element Method. Licenciatura (BSc) Thesis, Facultad de Ciencias Físico-Matemáticas, UANL, San Nicolás de los Garza, NL, México, March 1988. In Spanish.
Technical Reports
[2] R. Z. Ríos Mercado. Solution of systems of linear algebraic equations of high order. Technical Report, Vitro Tec, Monterrey, México, April 1987. In Spanish.
[3] R. Z. Ríos Mercado and G. Valenzuela Paz. F.E.M. Two-dimensional steady state. Volume I: Foundations. Technical Report, Vitro Tec, Monterrey, México, January 1989. In Spanish.
[4] R. Z. Ríos Mercado. F.E.M. Two-dimensional steady state. Volume II: Implementation. Technical Report, Vitro Tec, Monterrey, México, January 1989. In Spanish.
[5] R. Z. Ríos Mercado. F.E.M. Two-dimensional time-dependent state. Technical Report, Vitro Tec, Monterrey, México, June 1989. In Spanish.
[6] A. Ortega Morán, R. Z. Ríos Mercado, and M. S. Martínez Solís. 2-D Thermal simulator. Blow-blow process. Blank mold stage. Technical Report, Vitro Tec, Monterrey, México, September 1990. In Spanish.
[7] A. Ortega Morán, R. Z. Ríos Mercado, and M. S. Martínez Solís. 2-D Thermal simulator. Press-blow process. Blank mold stage. Technical Report, Vitro Tec, Monterrey, México, September 1990. In Spanish.
[8] A. Ortega Morán, R. Z. Ríos Mercado, and M. S. Martínez Solís. TERMO2D General purpose thermal simulator. Technical Report, Vitro Tec, Monterrey, México, September 1990. In Spanish.