Dispersion
Uses a linear dispersion relationship to compute wave-frequency from wave-number
Controller: CodeCogs
Interface
C++
K To W
doublek_to_w( | double | k | |
double | depth = 0 | ||
double | gravity = 9.8066 | ) |
Parameters
k () is wave-number. [rad/m] depth the depth of the water to mean sea level. A value of zero or less corresponds to deep water. [m] gravity (default 9.8066). [m/s2]
Returns
- wave-frequency (). [rad/s]
Source Code
Source code is available when you agree to a GP Licence or buy a Commercial Licence.
Not a member, then Register with CodeCogs. Already a Member, then Login.
K To W
doublek_to_w( | double | a | |
double | k | ||
double | depth = 0 | ||
double | gravity = 9.8066 | ) |
Purchase a Licence for more information.
In deep water(represented with d<=0), this solution reduces to As in the linear dispersion relationship.Example:
Example - Second order Wave Number to Wave Frequency
Problem
Compute the second order Wave Number from Wave Frequency in water of depth 2m.
Workings
#include <stdio.h> #include <codecogs/engineering/fluid_mechanics/waves/dispersion.h> using namespace Engineering::Fluid_Mechanics::Waves; int main() { double amp=3; // 3 meters printf(" k w "); for(double k=0.01; k<1;k+=0.1) { printf("\n %.6lf", k); double w=k_to_w(amp,k,2); printf(" %.3lf", w); } }
Parameters
a amplitude of component with wavenumber k. [m] k wave-number of component (). [rad/m] depth the depth of the water to mean sea level. A value of zero or less corresponds to deep water. [m] gravity (default ). [m/s2]
Returns
- wave-frequency (). [rad/s]
Source Code
Source code is available when you agree to a GP Licence or buy a Commercial Licence.
Not a member, then Register with CodeCogs. Already a Member, then Login.
W To K
doublew_to_k( | double | w | |
double | depth = 0 | ||
double | gravity = 9.8066 | ) |
There is an error with your graph parameters for w_to_k with options w=0:4 depth=1:5:3
The opposite of this function is dispersion_k
Error Message:Function w_to_k failed. Ensure that: Invalid C++
Example:
[metric]
Example - First order conversion of Wave Frequency to Wave Number
Problem
Compute Wave Frequency from Wave Number in water of depth 2m.
Workings
#include <stdio.h> #include <codecogs/engineering/fluid_mechanics/waves/dispersion.h> using namespace Engineering::Fluid_Mechanics::Waves; int main() { printf(" k w recalculated k"); for(double k=0.01; k<1;k+=0.1) { printf("\n %.6lf", k); double w=k_to_w(k,2); double k2=k_to_k(w,2); printf(" %.3lf %.6lf", w, k2); } return 0; }
Solution
k w recalculated k 0.010000 0.044 0.010000 0.110000 0.483 0.110000 0.210000 0.904 0.210000 0.310000 1.294 0.310000 0.410000 1.648 0.410000 0.510000 1.962 0.510000 0.610000 2.241 0.610000 0.710000 2.489 0.710000 0.810000 2.710 0.810000 0.910000 2.910 0.910000
Example 1
Parameters
w () is wave-frequency, usually written using (omega). depth (m) define the depth of the water to mean sea level. A value of zero or less corresponds to deep water. gravity (default ).
Returns
- wave-number ().
Source Code
Source code is available when you agree to a GP Licence or buy a Commercial Licence.
Not a member, then Register with CodeCogs. Already a Member, then Login.