Iterative Finite-Difference Solution of Heat Transfer and Fluid Flow With Truncated Modal Acceleration and Imaginary Time (Algorithm, Modeling, Steady-State)

This work discusses acceleration of the convergence of some classic point-iterative methods; Jacobi, simultaneous overrelaxation (JOR), Gauss-Seidel and successive overrelaxation (SOR). Each of these methods is diffusive in nature. Such methods do not distribute calculated changes of mass, momentum, and energy properly. As a result local imbalances diffuse and dissipate quickly while global imbalances control the convergence rate.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Mech, Andrew Raymond

• Engineering, Mechanical

Identifier

(UMI)AAI8623368

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/70139