Staggered Grid

2D Staggered grid is used with additional hybrid points for obstacle Mapping.

Patterns to follow

• The Black dots reveal the actual cell. Values of scalar variables such as Pressure, Density, Viscosity are stored here.

• The Red dots represent the X-direction Velocity cells. North & South Cells need boundary discretization for new schemes.

• The Blue dots represent the Y-direction Velocity cells. West & East Cells need boundary discretization for new schemes.

• The Yellow dots are used for Obstacle mapping & for storing Initial conditions assigned by the User such as Inlet Velocity, Sliding Wall velocity or Outlet Pressure.

  

Domain Boundary

• The D array is initialised as 4 x [ny+1] x [nx+1] matrix, where nx & ny are 5 in the image shown above.
• D[0] is the first matrix used as a Boundary Marker.
  • [Outlet=-1] [Wall=0] [Inlet=1] [Empty Cell=2]
• D[1] matrix is used as Initial conditions for X-Direction Velocity. (Lid driven cavity on Top Wall)
• D[2] matrix is used as Initial conditions for Y-Direction Velocity.
• D[3] matrix is used for Outlet Pressure.

All the uninitialized values are set to -1000 for quick diverging solution.