In the course of understanding any given complex phenomenon, the PM&AM Research team invariably incorporates a modeling aspect in its investigation. The understanding we achieve when combining experimental, computational, and analytical approaches is invaluable in the cost- and time-efficient development of different sensors, product lines and subsystems.

If no model, code or software is available to provide all of the information we need, we either modify existing codes or develop new ones. As a result, we have built several proprietary packages. If a company or collaborator requires assistance, we can develop codes for their needs, and perform experimental tests and verification, if necessary. Our Physicists, Engineers and Applied Mathematicians work together to afford a flexible and responsive team for model and code development.


The codes we’ve used most heavily are a Cellular Automata Model for Solidification, and a Weighted Essentially Non-Oscillatory Scheme for Shock Propagation and Dynamics. We have modified the Cellular Automata Model to investigate magnetic flux penetration into type II superconductors, and have extracted the diffusion algorithm to model diffusion through porous media. We have used the Weighted Essentially Non-Oscillatory model to investigate the propagation of shock waves through in homogeneously heated gases.
Our scientists are capable of working on most platforms, and in most programming languages. Additionally, we remain current in the new developments of processors and computing. Typically when testing and running our codes on the largest cases, we will take advantage of the national user facility at the Maui High Performance Computing Center:

  • Solidification and Diffusion through Porous Media
  • Shock Study

Our experience spans Cavity Quantum Electro-Dynamics, Molecular Dynamics, and Pattern Analysis (determining the optimal basis functions to use for a given application). We will also work with any software or data analysis packages if they are preferred by a given customer. Our primary current computational effort complements our optics and materials imperatives of using high energy density electromagnetic fields to engineer material interfaces and modify surfaces. This is an excellent challenge, to which we can apply our talents to achieve an understanding of the complex processes involved in high-energy-density materials science. This understanding will be vital in controlling and applying the new processes which we are currently developing.

Computations and Experiments

Because of our experience in both computing and experiments, we are leading an American Institute of Aeronautics and Astronautics committee in an effort to determine guidelines to optimize collaborations between experimental and computational research programs. Our preliminary findings were compiled and presented in a panel discussion at the AIAA Denver 2000 Fluids, Plasmadynamics and Lasers, Ground Testing, and Thermophysics Conference. The Contributors to the preliminary findings were:

  • Dr. Steven Ashby of the Center for Applied Scientific Computing at Lawerence Livermore National Laboratory
  • Dr. Jeff Jacobs of the University of Arizona, Aerospace and Mechanical Engineering Department
  • Dr. Jonathon Zimmerman of Sandia National Laboratory
  • Dr’s Jerry Moloney and Robert Indik of the Arizona Center for Mathematical Sciences
  • The Test and Evaluation Directorate at the Ballistic Missile Defense Organization

The Panelists were:

  • Dr. Yogendra Gupta of the WSU Institute for Shock Physics
  • Dr. Timothy Parr of the China Lake Naval Air Warfare Center, Weapons Division
  • Dr. William Sickles of Sverdrup Dr. Frank Lu of the UT-Arlington Aerodynamics Research Center

To download the PowerPoint presentation preceding the panel discussion, click here: Computing and Experiments Panel Discussion

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