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Mathematical Modeling

Mathematical modeling is our first checkpoint for accuracy. Using analytical and physics-based equations, we predict structural loads, heat transfer, and dynamic responses — providing the baseline that guides and validates our FEA and CFD simulations.

Mathematical Modeling
Steps

 Purpose of Mathematical Modeling

  • Objective: Use analytical and physics-based equations to represent how a system behaves under specific conditions.
     

  • Why important: Provides a ground truth to guide and validate CAD, FEA, and CFD simulations.
     

  • Example: Predict bracket deflection analytically using beam theory before verifying via FEA.
     

  • Common mistakes: Treating simulation outputs as truth without a sanity check; skipping physical reasoning.
     

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