PDE SOLUTIONS - Key Persons


Bill Jones

Job Titles:
  • Consultant - System Modeling and Underlying Physical Science for Product Development, since 1983

Craig Nelson

I am a research engineer with many years experience solving difficult technical problems, both at the workbench and using numerical methods. I have used FlexPDE intensively for eight years and have produced well over a hundred models, some resulting in complex multi-physics full-field solutions. Here is a partial listing of my work: Fluid dynamic electrochemical fuel cell electrodes; electromagnetic wave propagation in partially filled waveguides; acoustic wave propagation in solids and liquids; stress and deflection in piezo-pump diaphragms; two-phase fluid flow in fluidic channels; magnetic levitation forces on moving magnets; toothbrush induced fluid shear flow over teeth; gas-evolving chemical reactions in a micro-reactor; various fuel cell micro-fluidic situations; vibrational modes of complex ultrasound transducers; various heat flow situations; electric current flow in patterned thin film conductors; electric fields in various capacitve transducers; self focussing of a high intensity gaussian beam; self-convection of heated fluids; stress build-up in cooling adhesive bonds; tidal flow in a Mexican river estuary; pressure deflection of clamped thick plates; forces on a rising bubble; fluidic resistance of channel blockages; electro-magnetic wave propagation in doped porous silicon wafers. I have a relatively well equipped acoustics, electronics, optics and microwave lab for determining and confirming numerical model parameters and am willing to travel to teach individuals and small groups the ins-and-outs of FEA, as practiced using FlexPDE.

Dr. Mike Moore

Job Titles:
  • Web: Www.Aethermachines.Com
My simulation experience prior to the use of FlexPDE was rotational mechanics and thermodynamics using Easy5x formerly from Boeing, as well as hardware in the loop state space turbine control system simulation and torpedo simulations. I have always wanted to augment some of this process/hardware simulation with more of a partial differential equation approach (as opposed to the cascade first order responses found in most real time/state space simulations) and FlexPDE is the perfect tool for such. Currently, I use FlexPDE to augment the above systems, controls, and SPICE circuit simulations to provide detailed models of thermodynamics, electrostatics, and to some extent fluid subsystem responses in designs. For example, a heat sink or fluid heat transfer problem may be need to be accurately characterized to properly sweep temperature in a SPICE or control system simulation, and hence FlexPDE fits right in. In addition to the "pure numerics" of FlexPDE, I also use Mathematica to validate and simulate the analytic assumptions and modeling constructs behind such systems, controls, and circuits for which FlexPDE gives the PDE modeling.

Dr. Víctor H. Cortínez

Job Titles:
  • Scientific Research Director