Kinematic Boundary Condition
on the Body/Cavity Surface.
Two boundary conditions must be imposed on the free surface, namely the kinematic boundary condition and the dynamic boundary condition.
For the time integration, the second-order Adams-Bashforth method is used for the Euler equations, while the Crank-Nicolson method is used for the kinematic boundary condition at the free surface.
First, the decreasing normal velocity component due to the kinematic boundary condition and the intercomponent energy transfer results in an amplification of the tangential velocity components.
The strong self-damping of the normal turbulent intensity within the blockage layer is due to the kinematic boundary condition .
The kinematic boundary condition at an impermeable wall can be stated as
The kinematic boundary condition in terms of the volume flux vector at an impermeable wall as
Finally, the kinematic boundary condition
(12), which is used to update the immersed boundary points in the fluid domain, is discretized using explicit forward Euler scheme:
The kinematic boundary condition at the flow front is incorporated as the governing equations for predicting the flow front location.
The locations of the flow front are computed simultaneously along with other variables by satisfying the kinematic boundary condition at the flow front.
The equilibrium equations, static and kinematic boundary conditions
, and constitutive equations are given.
In general, the natural and kinematic boundary conditions
for a thermomechanical problem are given by