Henry, Brandon2020-05-042020-05-042018-02https://hdl.handle.net/11299/213069University of Minnesota M.S.M.E. thesis. February 2018. Major: Mechanical Engineering. Advisor: Kumar Tamma. 1 computer file (PDF); x, 149 pages.A wide variety of engineering problems involve thermal considerations and more specifically various heat conduction processes. Many of which involve heat sources that either are stationary or moving; such as laser welding, laser shot peening, etc. Such problems are difficult or expensive to analyze either analytically or experimentally leaving numerical methods as a viable alternative. The research presented herein will focus on the implementation of the C- and F- processes heat conduction model in a particle based framework utilizing the GS4 iIntegration time stepping schemes with a focus on applying this to moving heat source type problems. Numerous illustrative numerical examples verifying and validating the present methodology are highlighted, and the pros/cons of the proposed models are discussed in comparison to past practices and traditional approaches.enThesis or Dissertation