| CALC : Ocean : Wave 021 : Airy Linear Wave Theory : Calculator
Description : Calculate Airy linear gravity wave parameters.
Discussion : Calculates all Airy wave parameters : the wave length, surface profile, water particle velocity and acceleration, wave number, wave celerity, wave frequency, wave length over water depth ratio (lod), wave height over water depth ratio (hod), dimensionless wave height and dimensionless water depth. Check that the convergence check is close to or equal to one. For brevity the function working is not shown in the check calculations. Use the Airy wave check tool to check the function working.
Input Variables :
- Θ = Wave Phase Angle
- H = Ocean Wave Height
- T = Ocean Wave Period
- d = Water Depth
- z = Height Above Seabed
Output Variables :
- H* = Dimensionless Wave Height
- L = Ocean Wave Length
- Ua = Horizontal Velocity Amplitude
- Up = Horizontal Velocity Phase
- Va = Vertical Velocity Amplitude
- Vp = Vertical Velocity Phase
- c = Ocean Wave Celerity
- cvg = Convergence Check
- d* = Dimensionless Water Depth
- dUa = Horizontal Acceleration Amplitude
- dUp = Horizontal Acceleration Phase
- dVa = Vertical Acceleration Amplitude
- dVp = Vertical Acceleration Phase
- f = Ocean Wave Frequency
- hod = Wave Height Over Water Depth Ratio
- lod = Wave Length Over Water Depth Ratio
- n = Ocean Wave Number
- w = Wave Trough Depth
- y = Ocean Wave Surface Profile
Calculation :
list( L , cvg ) = AiryL( d , T )
y = AiryP( H , Θ )
list( Ua , dUa , Up , dUp ) = AiryAU( H , d , T , L , z , Θ )
list( Va , dVa , Vp , dVp ) = AiryAV( H , d , T , L , z , Θ )
c = L / T
w = d - H / 2
n = ( 2 π ) / L
f = 1 / T
hod = H / d
lod = L / d
H* = H / ( 9.80665 T 2 )
d* = d / ( 9.80665 T 2 )
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| CALC : Ocean : Wave 022 : Airy Wave Surface Profile And Wavelength Only : Calculator
Description : Calculate Airy linear gravity wave surface profile and wavelength.
Discussion : Calculates only the wave length and surface profile. The surface profile is the height of the wave above sea level. Check that the convergence check is close to or equal to one. The function working is not shown in the check calculations. Use the Airy wave check tool to check the function working.
Input Variables :
- Θ = Wave Phase Angle
- H = Ocean Wave Height
- T = Ocean Wave Period
- d = Water Depth
Output Variables :
- L = Ocean Wave Length
- cvg = Convergence Check
- y = Ocean Wave Surface Profile
Calculation :
list( L , y , cvg ) = AiryTP( H , d , T , Θ )
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| CALC : Ocean : Wave 023 : Airy Wave Horizontal Velocity And Acceleration Only : Calculator
Description : Calculate Airy linear gravity wave horizontal water particle motion versus phase angle.
Discussion : Calculates only the horizontal water particle velocity and acceleration. Check that the convergence check is close to or equal to one. For brevity the function working is not shown in the check calculations. Use the Airy wave check tool to check the function working.
Input Variables :
- Θ = Wave Phase Angle
- H = Ocean Wave Height
- T = Ocean Wave Period
- d = Water Depth
- z = Height Above Seabed
Output Variables :
- Up = Horizontal Velocity Phase
- cvg = Convergence Check
- dUp = Horizontal Acceleration Phase
Calculation :
list( Up , dUp , cvg ) = AiryTU( H , d , T , z , Θ )
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| CALC : Ocean : Wave 024 : Airy Wave Vertical Velocity And Acceleration Only : Calculator
Description : Calculate Airy linear gravity wave vertical water particle motion versus phase angle.
Discussion : Calculates only the vertical water particle velocity and acceleration. Check that the convergence check is close to or equal to one. For brevity the function working is not shown in the check calculations. Use the Airy wave check tool to check the function working.
Input Variables :
- Θ = Wave Phase Angle
- H = Ocean Wave Height
- T = Ocean Wave Period
- d = Water Depth
- z = Height Above Seabed
Output Variables :
- Vp = Vertical Velocity Phase
- cvg = Convergence Check
- dVp = Vertical Acceleration Phase
Calculation :
list( Vp , dVp , cvg ) = AiryTV( H , d , T , z , Θ )
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| CALC : Ocean : Wave 025 : Airy Wave Horizontal And Vertical Velocity And Acceleration Only : Calculator
Description : Calculate Airy linear gravity wave horizontal and vertical water particle motion versus phase angle.
Discussion : Calculates only the horizontal and vertical water particle velocity and acceleration. Check that the convergence check is close to or equal to one. For brevity the function working is not shown in the check calculations. Use the Airy wave check tool to check the function working.
Input Variables :
- Θ = Wave Phase Angle
- H = Ocean Wave Height
- T = Ocean Wave Period
- d = Water Depth
- z = Height Above Seabed
Output Variables :
- Up = Horizontal Velocity Phase
- Vp = Vertical Velocity Phase
- cvg = Convergence Check
- dUp = Horizontal Acceleration Phase
- dVp = Vertical Acceleration Phase
Calculation :
list( [up, dUp , Vp , dVp ) = AiryTUV( H , d , T , z , Θ )
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| CALC : Ocean : Wave 026 : Airy Wave Check Calculations : Calculator
Description : Calculate Airy linear gravity wave check values.
Discussion : Use this tool to check the Airy wave calculations. Check that the convergence check is close to or equal to one, and that the check wavelength is equal to the Airy wave length.
Input Variables :
- Θ = Wave Phase Angle
- H = Ocean Wave Height
- T = Ocean Wave Period
- d = Water Depth
- z = Height Above Seabed
Output Variables :
- H* = Dimensionless Wave Height
- L = Ocean Wave Length
- Lchk = Ocean Wave Length Check
- Ldw = Deep Water Wave Length
- Ua = Horizontal Velocity Amplitude
- Up = Horizontal Velocity Phase
- Va = Vertical Velocity Amplitude
- Vp = Vertical Velocity Phase
- c = Ocean Wave Celerity
- cvg = Convergence Check
- d* = Dimensionless Water Depth
- dUa = Horizontal Acceleration Amplitude
- dUp = Horizontal Acceleration Phase
- dVa = Vertical Acceleration Amplitude
- dVp = Vertical Acceleration Phase
- f = Ocean Wave Frequency
- hod = Wave Height Over Water Depth Ratio
- lod = Wave Length Over Water Depth Ratio
- n = Ocean Wave Number
- w = Wave Trough Depth
- y = Ocean Wave Surface Profile
Calculation :
list( L , cvg ) = AiryL( d , T )
Ldw = ( 9.80665 T 2 ) / ( 2 π )
Lchk = Ldw tanh( 2 π d / L )
y = H / 2 cos( Θ )
Ua = ( ( π H ) / T )( cosh( 2 π z / L ) / sinh( 2 π d / L ) )
dUa = ( 2 π 2 H / T 2 )( cosh( 2 π z / L ) / sinh( 2 π d / L ) )
Va = ( ( π H ) / T )( sinh( 2 π z / L ) / sinh( 2 π d / L ) )
dVa = ( 2 π 2 H / T 2 )( sinh( 2 π z / L ) / sinh( 2 π d / L ) )
Up = ( ( π H ) / T )( cosh( 2 π z / L ) / sinh( 2 π d / L ) )cos( Θ )
dUp = ( 2 π 2 H / T 2 )( cosh( 2 π z / L ) / sinh( 2 π d / L ) )sin( Θ )
Vp = ( ( π H ) / T )( sinh( 2 π z / L ) / sinh( 2 π d / L ) )sin( Θ )
dVp = - ( 2 π 2 H / T 2 )( sinh( 2 π z / L ) / sinh( 2 π d / L ) )cos( Θ )
c = L / T
w = d - H / 2
n = ( 2 π ) / L
f = 1 / T
hod = H / d
lod = L / d
H* = H / ( 9.80665 T 2 )
d* = d / ( 9.80665 T 2 )
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