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Conventional and characteristic-curve FE schemes for convection-diffusion problems

This study compares Conventional and Characteristic-Curve Finite Element schemes for tackling Convection-Diffusion problems. Investigating Weak Formulation, Symmetricity, and Non-Symmetricity, it analyzes solutions for Problem 1 (Rotating Hill, 2D), including Manufactured Solution. Problem 2 explores Finite Element solutions for both schemes.

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Conventional and characteristic-curve FE schemes for convection-diffusion problems

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  1. Conventional and characteristic-curve FEschemes for convection-diffusion problems HN

  2. Convection-diffusion problems

  3. Weak formulation

  4. A conventional FE Scheme Non-symmetric

  5. A characteristic-curve FE scheme Symmetric

  6. Problem 1 (Rotating Hill Problem, 2D) Manufactured solution:

  7. Finite element solutions Conventional scheme Characteristic-curve scheme

  8. Problem 2

  9. Finite element solutions Conventional scheme Characteristic-curve scheme

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