Real-Time Reliable Simulation of Heat Transfer Phenomena

In this paper we discuss the application of the certified reduced basis method and the associated software package rbMIT c to “worked problems” in steady and unsteady conduction. Each worked problem is characterized by an input parameter vector — material properties, boundary conditions and sources, and geometry — and desired outputs — selected fluxes and temperatures. The methodology and associated rbMIT c software, as well as the educational worked problem framework, consists of two distinct stages: an Offline (or “Instructor”) stage in which a new heat transfer worked problem is first created; and an Online (or “Lecturer”/“Student”) stage in which the worked problem is subsequently invoked in (say) various in‐ class, project, or homework settings. In the very inexpensive Online stage, given an input parameter value, the software returns both (i) an accurate reduced basis output prediction, and (ii) a rigorous bound for the error in the reduced basis prediction relative to an underlying expensive high-fidelity finite element dis

• Publication year

  2009

• Venue

  Unknown venue

• Publication date

  Unknown publication date

• Fields of study

  Physics, Computer Science, Engineering

• Identifiers
  DOI 10.1115/HT2009-88212
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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