FROM MATHEMATICS
TO REALITY

What is Simulation?

Approximating reality using computational techniques.

While modeling is the art of creating mathematical models of reality, simulation is the art of using these mathematical models to approximate reality inside a computer. In the industry, such computational approximations of reality have important benefits compared to the naive strategy of “just trying it out”:

  • Lower cost of experimentation
  • Reduced time of development
  • Numerical optimization
  • Less tedious
  • Less hazardous
  • “First time right”
  • Vast array of experiments can be performed virtually

At Noumenon Multiphysics, we have the ability to use various simulation platforms to perform simulations. Chief among these is COMSOL — a multi-physics simulation platform having the ability to simulate and couple a large variety of physics and new mathematical models. Noumenon Multiphysics is a COMSOL certified consultant. Read more…

Other standard simulators used include OpenFOAM (fluid mechanics), Elmer (multiphysics), TracePro (optics), Simulink (system level simulation), SystemC (discrete event simulation), NS2 (data networks), GAP (multi-phase fluid flow) and many smaller simulation codes for specific phenomena.

Custom Simulators

Apart from using standard simulation platforms, Noumenon also has the expertise to develop low level simulation codes. These are usually built in MATLAB, Python or C++. Even with the availability of multiple readymade simulation platforms, the need for custom simulation codes arises due to many reasons:

  • Gaps in abilities of standard simulators, usually relating to specific applications
  • New physics models developed at Noumenon Multiphysics, requiring new simulators
  • Faster solution methods, employing known symmetries or features of particular situations
  • Speciality simulators — codes that will go inside specialized software targeted towards very specific jobs
  • Automated optimizers or parameter estimators can be built on top of simulation codes
  • Cost effectiveness

EXAMPLE PROJECTS

Though most Noumenon projects involve simulation, following are some projects showcasing custom simulator development:

FORCE BALANCE SOLVER. Solves specific problems involving linear elastic, non-linear elastic and rigid parts and fluid pressure. Load-deformation curves of each individual body are calculated separately. The force balance solver finds the final resting position in which the entire system will settle.

SHEPHERD ALGORITHM. We created a new algorithm to approximate multi-body interactions, with one elastic and multiple rigid bodies. As the rigid bodies move, the shepherd algorithm quickly creates a feasible solution which is heuristically close to the final solution. Mechanical simulations involving multi-body contact have shown vast speedup using this technique.

FEM WIRE SIMULATOR. A finite element simulator of metallic wire parts. Was commissioned as a validating simulator for a large simulation platform.

SOLAR OPTICS. This simulator framework can calculate the position of the sun for any day of the year, and time of day, at any latitude. Furthermore, the simulator can calculate various shadowing effects applicable to objects such as heliostats (sun tracking mirrors). Averages of shadowing effects over time can be used to optimize placement, size etc. of these objects to maximize utilization of insolation.

CIRCUIT SIMULATION WITH EM COMPONENTS. A new methodology was developed to convert the PDEs governing linear electromagnetic components to ODEs, for fast and accurate simulation of EM components as electronic circuit components.

ELECTROMAGNETIC FEM. Built our own FEM EM solver to cross-check Mie scattering calculations, and to be able to perform scattering calculations for irregular shaped objects.

NOUMENON MULTIPHYSICS PROVIDES MULTI-DISCIPLINARY MODELING AND SIMULATION SERVICES TO THE ENGINEERING INDUSTRY

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OCT 2018
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