Lecture 3-1: The Fluid Solver (1/3)

1. For incompressible flow
The density of a fluid particle remains constant
Volume is conserved
Mass is conserved
All of the above
None of the above

2. The momentum in a fixed control volume can change
Due to a pressure gradient
Due to viscous forces
Due to gravity
Due to inflow and outflow of momentum
All of the above

3. In the projection method we
Start by solving for the pressure
Must solve the momentum equation implicitly
Must use the conservative form
Must use a staggered grid
None of the above

4. The projection method allows us to
Solve the pressure equation separately
Integrate the Navier Stokes equations in time
Enforce incompressibility
Use an explicit time integration method
All of the above

5. For a structured grid for two-dimensional flows
The cells must rectangular
The cells must be of the same size
The connectivity must be specified
The thickness of the cells must be specified
None of the above

6. When using a staggered grid
The pressure and the velocities are stored at the same point
The pressure is stored at one point and velocities at another point
Each velocity component and pressure are computed using different control volumes
We only have equations for the velocities
All of the above

7. A staggered grid
Couples all the pressure points
Simplifies pressure boundary conditions
Is built around the control volume for the pressure
Stores the velocities where they are needed for the pressure equation
All of the above

8. When solving for an unsteady incompressible flow field with the projection method
We first find the pressure
We first find the velocity while ignoring pressure
We first find the velocity while ignoring advection
We first find the velocity while ignoring diffusion
None of the above

9. When variables are needed at points where they are not defined, we must
Use the closest value
Use linear interpolation
Take the average of the value to the left and the right
This never happens, variables are always where they are needed
None of the above

10. To integrate over a control volume boundary we use
The trapezoidal rule
Exact integration
Midpoint rule
Simpson’s rule
Gauss integration