Solutions of the Navier-Stokes Equation

Question 1

What are the three main problem when solving the Navier-Stokes equation? (Incompressible flows)

Answer 1

1. Coupled Governing Equations
2. Representation of Pressure Gradient
3. Representation of Continuity

Question 2

Describe the Coupled Governing Equations problem

Answer 2

• There is no natural equation for the 3rd unknown (P)
• Stream function/vorticity methods and projection methods solve for other dependent variables that satisfy continuity inherently. BUT, boundary conditions are hard to determine.