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Methods to Solve Complex PDEs

  • Discretization Methods: FEM / FDM / FVM / BEM / High Resolution Schemes
  • FEM involves more complexity. It is generally used in multiphysics, electromagnetic, structural and quantum analysis due its higher accuracy.
  • Difficulty wise: FDM < FVM < FEM

CFD Specific

  • Vortex Methods (for incompressible Navier-Stokes equations), Lattice Boltzmann Method
  • FVM is more commonly used in CFD. It discretizes PDEs to Algebraic Equations.
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