This is an analytical test for the accuracy of coriolis force generated three-dimensional current and water surface slope.

Domain

• Cuboid flume
• 100,000 m length
• 5,000 m width
• 1 m height
• 45 degree latitude

Initial Conditions

• Water depth of 1 meter

Boundary Conditions

• No time varying boundary conditions

Results

• Run simulation to steady state
• Analytic solution for x direction flow
  • Assume uniform flow
  • y velocity = 0.0
  • Change in u velocity with respect to x = 0.0
  • Therefore

      = -2.0988e-6 m/m

• AdH computed slope = -2.154e-6

• Analytic solution for y direction flow​
  • Run simulation to steady state
  • Assume uniform flow
  • x velocity = 0.0
  • Change in v velocity with respect to y = 0.0
  • Therefore

    = -2.0988e-6 m/m

• AdH computed slope = -2.000e-6

• Velocity shows a curvature to the right which is again supported by Coriolis theory