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Heat Transfer and Fluid Dynamics

  • Neculai Andrei
Chapter
Part of the Springer Optimization and Its Applications book series (SOIA, volume 81)

Abstract

Heat transfer and fluid dynamics represent important applications that can be very easily represented and solved as optimization problems using the GAMS technology. These applications are two-dimensional and are described by partial differential equations that, by standard discretizations lead to large and sparse matrices. Hence, the corresponding optimization problems are large-scale. The first application from this chapter is the optimal solution of the heat transfer problem in rectangular domains with heterogeneous conductivity. For this application both the stationary and the time-dependent temperature field in rectangular domains are considered. The second application is the optimal solution of fluid flow problems in a rectangular area. Two problems are considered. The first one is the stationary flow of an incompressible fluid in a rectangular area, and area; the second one is the stationary flow of an incompressible fluid in a rectangular area in the presence of an obstacle. All these applications are taken from McKinney and Savitsky (2003).

References

  1. Andrei, N. (2004). Stationary temperature field computation in a rectangular area (Technical Report, 18 Mar 2004). Bucharest: Research Institute for Informatics ICI.Google Scholar
  2. McKinney, D., & Savitsky, A. (2003). Basic optimization models for water and energy management (Technical Report, 2003). Austin: The University of Texas.Google Scholar
  3. Peyret, R., & Taylor, T. D. (1985). Computational methods for fluid flow. New York: Springer.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Neculai Andrei
    • 1
    • 2
  1. 1.Center for Advanced Modeling and OptimizationNational Research Institute for InformaticsBucharestRomania
  2. 2.Academy of Romanian ScientistsBucharestRomania

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