Viscous Fluid Flow
Basic Laws:
Continuity
Navier-Stokes Equation
Bernoulli Equation
Solutions to the Navier-Stokes Equation:
Poiseuille Flow
Couette Flow
Vorticity Dynamics
Vorticity Equation
Helmholtz's Law
Kelvin's Theorem
Numerical PDE
FDM
schemes
analysis(stability, accuracy, convergence)
implementation
FEM
weak formulation
Lax-Milgram theorem
error analysis
implementation(basis)
Basic Laws:
Continuity
Navier-Stokes Equation
Bernoulli Equation
Solutions to the Navier-Stokes Equation:
Poiseuille Flow
Couette Flow
Vorticity Dynamics
Vorticity Equation
Helmholtz's Law
Kelvin's Theorem
Numerical PDE
FDM
schemes
analysis(stability, accuracy, convergence)
implementation
FEM
weak formulation
Lax-Milgram theorem
error analysis
implementation(basis)