Difference between revisions of "Standard Notation"
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| − | A list of standard notation | + | A list of standard notation with definitions. If you find notation which does not appear here or non-standard notation please |
| + | feel free to highlight this, or better still try and fix it. The material on these webpages was taken from a variety of sources and we | ||
| + | know the notation is currently not always consistent between pages | ||
| − | *<math> | + | == Latin Letters == |
| + | |||
| + | * <math>A</math> is the wave amplitude | ||
| + | * <math> c= \frac{\omega}{k} </math> Wave Phase Velocity | ||
| + | * <math>g</math> is the acceleration due to gravity | ||
* 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> | ||
| + | * wave number <math> k </math> | ||
| + | * <math>P</math> pressure | ||
* Time <math>t</math> | * Time <math>t</math> | ||
| + | * <math> T = \frac{2\pi}{\omega}</math> Wave Period | ||
| + | * <math>\mathbf{v}</math> Flow Velocity Vector at <math>\mathbf{x}</math> | ||
* <math>\mathbf{x}</math> Fixed Eulerian Vector | * <math>\mathbf{x}</math> Fixed Eulerian Vector | ||
| − | * <math> | + | * <math>x</math> and <math>y</math> in the horizontal plane with <math>z</math> pointing vertically upward and the free surface at <math>z=0</math> |
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| + | == Greek letters == | ||
| + | * <math>\rho</math> is the fluid density | ||
| + | * <math> \lambda = \frac{2\pi}{k} </math> Wave Length | ||
| + | * Velocity potential <math>\phi\,</math> (in frequecy domain) or <math>\Phi\,</math> in time domain | ||
| + | * wave/angular frequency <math>\omega</math> | ||
| + | * <math>e^{i\omega t}</math> time dependence in frequency domain | ||
| + | * <math>\Omega\,</math> fluid region | ||
| + | * <math>\partial \Omega</math> Boundary of fluid region | ||
| + | * <math>\zeta</math> displacement of the surface | ||
| + | * <math>\varepsilon</math> energy | ||
[[Category:Administration]] | [[Category:Administration]] | ||
Revision as of 09:06, 23 February 2009
A list of standard notation with definitions. If you find notation which does not appear here or non-standard notation please feel free to highlight this, or better still try and fix it. The material on these webpages was taken from a variety of sources and we know the notation is currently not always consistent between pages
Latin Letters
- [math]\displaystyle{ A }[/math] is the wave amplitude
- [math]\displaystyle{ c= \frac{\omega}{k} }[/math] Wave Phase Velocity
- [math]\displaystyle{ g }[/math] is the acceleration due to gravity
- Water depth [math]\displaystyle{ h }[/math] with the bottom at [math]\displaystyle{ z=-h }[/math]
- wave number [math]\displaystyle{ k }[/math]
- [math]\displaystyle{ P }[/math] pressure
- Time [math]\displaystyle{ t }[/math]
- [math]\displaystyle{ T = \frac{2\pi}{\omega} }[/math] Wave Period
- [math]\displaystyle{ \mathbf{v} }[/math] Flow Velocity Vector at [math]\displaystyle{ \mathbf{x} }[/math]
- [math]\displaystyle{ \mathbf{x} }[/math] Fixed Eulerian Vector
- [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]
Greek letters
- [math]\displaystyle{ \rho }[/math] is the fluid density
- [math]\displaystyle{ \lambda = \frac{2\pi}{k} }[/math] Wave Length
- Velocity potential [math]\displaystyle{ \phi\, }[/math] (in frequecy domain) or [math]\displaystyle{ \Phi\, }[/math] in time domain
- wave/angular frequency [math]\displaystyle{ \omega }[/math]
- [math]\displaystyle{ e^{i\omega t} }[/math] time dependence in frequency domain
- [math]\displaystyle{ \Omega\, }[/math] fluid region
- [math]\displaystyle{ \partial \Omega }[/math] Boundary of fluid region
- [math]\displaystyle{ \zeta }[/math] displacement of the surface
- [math]\displaystyle{ \varepsilon }[/math] energy
