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- J. M. McDonough
- 2009

- James M. McDonough, Illayathambi Kunadian, Ravi Ranjan Kumar, T. L. Yang
- J. Comput. Physics
- 2006

Alternative discretization and solution procedures are developed for the 1-D dual phase-lag (DPL) equation, a partial differential equation for very short time, microscale heat transfer obtained from a delay partial differential equation that is transformed to the usual non-delay form via Taylor expansions with respect to each of the two time delays. Then… (More)

- J. M. McDonough
- 2008

ly providing a mapping from the space of functions corresponding to the right-hand side, that is, C2(Ω) in the present case, to those of the left-hand side, C1(0,∞), and denote this as u(t) ∈ C(0,∞;C(Ω)) . (1.16) This notation will be widely used in the sequel, so it is worthwhile to understand what it implies. In words, it says that u(t) is a function that… (More)

An alternative discretization and solution procedure is developed for implicitly solving a microscale heat transport equation during femtosecond laser heating of nanoscale metal films. The proposed numerical technique directly solves a single partial differential equation, unlike other techniques available in the literature which split the equation into a… (More)

- J. M. McDonough, T. Yang, M. Sheetz
- 2003

Introduction At this point in the beginning of the 21 Century there are already numerous reliable, inexpensive and widely-used commercial CFD codes. Fluent, STAR-CD and Flow3D are representative examples. In light of this, one might question the need for developing yet another incompressible flow code. But it is important to recognize that in many of the… (More)

- Ying Xu, James M. McDonough, Kaveh A. Tagavi
- J. Comput. Physics
- 2006

- J. M. McDonough
- 2008

The basic mathematical nature of low-dimensional models hints at existence of interesting sequences of bifurcations that could result in drastic changes in model behavior as critical points in parameter space are crossed. In the present study an analysis technique based on construction of bifurcation diagrams is described and employed to analyze a specific… (More)

In the present work we investigate femtosecond laser heating of nanoscale metal films irradiated by a pulsating laser in three dimensions using the Dual Phase Lag (DPL) model and consider laser heating at different locations on the metal film. A numerical solution based on an explicit finite-difference method has been employed to solve the DPL heat… (More)