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assuming potential theory
Unknown variables:
Field equation:
Boundary Conditions:
- 1.
- On an impervious boundary
,
we have KBC:
Alternatively: a particle P on
remains on
,
i.e.
is a material surface; e.g. if P is on
at
,
i.e.
so that, following P,
.
For example, flat bottom at
:
- 2.
- On the free surface,
or
.
KBC: free surface is a material surface, no
perpendicular relative velocity to free surface, particle on free
surface remains on free surface:
DBC:
on
or
.
Apply
Bernoulli equation at
: