Template:Equations of motion time domain without body condition: Difference between revisions
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surface we have the kinematic condition | surface we have the kinematic condition | ||
<center><math> | <center><math> | ||
\partial_{t}\zeta=\partial_{n}\Phi,\ \ z=0,\ x\in \partial\ | \partial_{t}\zeta=\partial_{n}\Phi,\ \ z=0,\ x\in \partial\Omega_{F}, | ||
</math></center> | </math></center> | ||
and the dynamic condition (the linearized Bernoulli equation) | and the dynamic condition (the linearized Bernoulli equation) | ||
<center><math> | <center><math> | ||
\partial_{t}\Phi = -g\zeta ,\ \ z=0,\ x\in \partial\ | \partial_{t}\Phi = -g\zeta ,\ \ z=0,\ x\in \partial\Omega_{F}. | ||
</math></center> | </math></center> |
Latest revision as of 23:14, 22 April 2010
The equations of motion in the time domain are Laplace's equation through out the fluid
At the bottom surface we have no flow
At the free surface we have the kinematic condition
and the dynamic condition (the linearized Bernoulli equation)