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Analysis — FEA / CFD

Related: finite-element-methods · fluid-mechanics-machinery

Cheat sheet

Printable study sheet: formulas → definitions → topic notes → traps.

Formulas

FEA check: Σreactions = Σloads ; mesh convergence of QoI
von Mises for ductile yield indicator; principals for brittle/fatigue
CFD: continuity + Navier–Stokes; y+ for wall turbulence models
CFL stability for explicit transient; residuals monitor convergence
Aero: Cl, Cd, Cm from pressure/shear integration
Mesh independence: monitor KPI vs element size
y+ targets for wall-resolved vs wall-function CFD
Cl, Cd, Cm from pressure/shear integration

Definitions

QoI
Quantity of interest — what decision needs
y+
Dimensionless wall distance for turbulence wall treatment
RANS / LES
Averaged vs large-eddy resolved turbulence approaches
Mesh independence
Result stable under refinement
Validation case
Compare to experiment/analytic before production runs
Verification vs validation
Code solving equations right vs right equations for reality
Boundary layer
Critical for aero drag/lift prediction

Topic-wise short notes

Study these first — one block per syllabus topic. Then read the deep notes below.

Structural FEA

  • Linear static → modal → buckling → nonlinear contact progression.
  • Bolts/welds idealized — document.
  • Report FOS vs Sy with load case description.

CFD & aero tools

  • XFLR5/AVL for low-Re aero; CFD for 3D interference.
  • Domain size & wake resolution for drag accuracy.

Exam traps & quick notes

Comprehensive notes

Structural FEA

Linear static → buckling/modal as needed; contacts; fatigue screening.

CFD & aero tools

Domain size, turbulence model choice, residuals, force monitors; XFLR for lifting surfaces.