Difference between revisions of "Standard Notation"
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* Water depth <math>h</math> with the bottom at <math>z=-h</math> | * Water depth <math>h</math> with the bottom at <math>z=-h</math> | ||
* Time <math>t</math> | * Time <math>t</math> | ||
| − | * Velocity potential <math>\phi</math> | + | * <math>\mathbf{x}</math> Fixed Eulerian Vector |
| + | * <math>\mathbf{v}</math> Flow Velocity Vector at <math>\mathbf{x}</math> | ||
| + | * Velocity potential <math>\phi\,</math> (in frequecy domain) or <math>\Phi\,</math> in time domain | ||
* Angular frequency <math>\omega</math> | * Angular frequency <math>\omega</math> | ||
* Time dependence in frequency domain <math>e^{i\omega t}</math> | * Time dependence in frequency domain <math>e^{i\omega t}</math> | ||
Revision as of 05:55, 18 February 2009
A list of standard notation
- [math]\displaystyle{ x }[/math] and [math]\displaystyle{ y }[/math] in the horizontal plane with [math]\displaystyle{ z }[/math] pointing vertically upward and the free surface at [math]\displaystyle{ z=0 }[/math]
- Water depth [math]\displaystyle{ h }[/math] with the bottom at [math]\displaystyle{ z=-h }[/math]
- Time [math]\displaystyle{ t }[/math]
- [math]\displaystyle{ \mathbf{x} }[/math] Fixed Eulerian Vector
- [math]\displaystyle{ \mathbf{v} }[/math] Flow Velocity Vector at [math]\displaystyle{ \mathbf{x} }[/math]
- Velocity potential [math]\displaystyle{ \phi\, }[/math] (in frequecy domain) or [math]\displaystyle{ \Phi\, }[/math] in time domain
- Angular frequency [math]\displaystyle{ \omega }[/math]
- Time dependence in frequency domain [math]\displaystyle{ e^{i\omega t} }[/math]
- Fluid region [math]\displaystyle{ \Omega }[/math]
- Boundary of fluid region [math]\displaystyle{ \partial \Omega }[/math]
- Displacement of the surface [math]\displaystyle{ \zeta }[/math]
