Comparison and combination of reduced order modelling techniques in 3D parametrized heat transfer problems

• Published in: Mathematical and Computer Modelling of Dynamical Systems (ISSN: 1387-3954), vol. 17, num. 4, p. 371-394
• Taylor & Francis, 2011

Reduced Basis (RB) method has successfully been used in 2D to solve heat transfer parametrized problems. In this work, we present some 3D applications in the same field. We consider two problems, the steady Thermal Fin and the time dependent Graetz Flow, we compare two reduced order modelling techniques: RB and Proper Orthogonal Decomposition (POD), then we apply a combination of the two strategies in the time dependent case.

Note: Special issue on model order reduction, previously EPFL MATHICSE report 12.2010

Keywords: Reduced basis method ; Proper orthogonal decomposition ; error bounds ; greedy algorithm ; heat and mass transfer ; elliptic and parabolic parametrized PDEs

Reference

• EPFL-ARTICLE-163349
• doi:10.1080/13873954.2011.547672

Record created on 2011-02-11, modified on 2012-03-21