Mathematical Modelling

Applications of mathematical modeling are vast. Meissner Consulting has specialized in Monte Carlo simulations of industrial irradiation applications such as electron beam or X-ray processing. Our dose distribution and production capacity models have been used to supplement facility validations (IQ, OQ) and to calculate production capacities before engaging into tedious dosimetry studies.

We use a variety of Monte Carlo codes depending on a best fit with the modeling situation. Therefore we employ ACCEPT (ITS3) and Geant 4. For more complicated neutron shielding efforts we also have access to MCNPX and FLUKA.

Cost Savings for Operational Qualification
Have you ever wondered if there is an easiser and more informative way to do operational qualification? The number of dosimeters to read for a phantom dose map can be several thousands. You can save money and valuable irradiation time by knowing in advance:

  • the dose distribution
  • dose uniformity at all realistic and unrealistic densities
  • minimum dose delivery
  • fringe effects
  • behaviour during process interrupts and restarts.

 

Risk Reduction in Irradiator Design
Knowing what comes out before you build it – a key factor to reduce your risk of success. With an executive summary of the technical results the management can make decisions based on sound input.

Especially with new X-ray facilities, where very little experimental data is available, simulation becomes a necessary tool for the design of a new irradiator. Ideas on efficiency improvemens can be tested immediately without building any hardware. Dose uniformity and production capacity can be estimated before capital investments have to be made.

Safety and Reliability for Shielding Calculations
For most electron beam or X-ray facilities shielding calculations using analytical methods according to NCRP 51, 79 or 144, or DIN 6847 will be sufficient. This is especially true if the cost of the shielding material savings cannot offset the cost of Monte Carlo simulations, and when space considerations are not close to the limit.

However, complicated shield requirements or unknown accelerator radiation spectra may make mathematical modelling a necessity. When designing compact shields around cyclotrons, proton- or ion-therapy centers, Monte Carlo shielding calculations proved to be cost effective. When shielding materials such as steel or heavy concrete (haematit or magnetit componets) are used savings in shielding material volume immediately translate into sizeable monetary savings.

Is it real?
While simulations try to model the reality as close as feasible, a mathematical model will, by definition, remain an approximation. Simplifications in order to make the simulation affordable as well as to reduce calculation time provide sources of uncertainty. Hence it is important to benchmark the employed codes and geometries against measurements or other proven models.

Meissner Consulting has significant experience in benchmarking Monte Carlo codes. We adhere to the standard ASTM E2232. Being a member of the Radiation Processing Simulation and Modelling Users Group (RPSMUG) we maintain our operating standards in line with other experts of mathematical modelling for radiation processing.  

 

 

 
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© Meissner Consulting 2003, 2004      updated november 18, 2004