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Ocean Wave Directionality And Spreading

Calculate ocean wave velocity reduction factor from relative heading and spreading factor.

The spreading factor accounts for wave "choppiness" or superimposed multi directional waves. Locally generated waves are generally short crested and more "choppy", and are characterised by small spreading factors. Long range swells are generally long crested uni directional waves, and are characterised by large spreading factors.

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CALCULATOR : Ocean Wave Maximum Wave Height And Significant Wave Height [FREE]   ±

Calculate ocean wave maximum wave height and significant wave height.

The maximum wave height is assumed to be directly proportional to the significiant wave height.

Tool Input

  • optype : Wave Spectrum Type
  • htype : Wave Height Input Type
  • H : Wave Height

Tool Output

  • Hm : Maximum Wave Height
  • Hs : Significant Wave Height
  • MoS : Maximum Height Over Significant Height

CALCULATOR : Ocean Wave And Current Reduced Velocity Airy Stokes And Cnoidal Wave [PLUS]   ±

Calculate combined ocean wave and current reduced velocity and acceleration for Airy, Stokes and cnoidal waves.

Wave length can be calculated from wave period, or wave period can be calculated from wave length. Current velocity can be calculated near the seabed using either the logarithmic profile, or the 1/7th power law profile. The velocity and acceleration can be calculated at either the wave surface (varies with phase angle), the wave trough height, the seabed, or at a user defined height above the seabed.

The wave and current reduction factors can be used when the wave and current direction is at an angle to the pipeline or structure (ie not perpendicular). A relative heading of zero degrees is parallel to the structure, or ninety degrees is perpendicular to the structure. Wave spreading accounts for choppiness, or multiple superimposed wave directions. The current direction can be set paralllel to the wave direction, or independent of the wave direction.

Use the Result Plot option to plot the wave profiles, wave velocity or wave acceleration versus phase angle.

Tool Input

  • hwtype : Wave Heading Type
    • Φwu : User Defined Wave Heading
  • hctype : Current Heading Type
    • Φcu : User Defined Current Heading
  • sfactype : Wave Spreading Factor Type
    • su : User Defined Spreading Factor
  • rdtype : Velocity Reduction Factor Type
    • Rwu : User Defined Wave Reduction Factor
    • Rcu : User Defined Current Reduction Factor
  • uctype : Current Velocity Type
  • roughtype : Seabed Roughness Type
    • zou : User Defined Seabed Roughness
  • wavetype : Wave Type
  • lttype : Wave Parameter Type
    • Tu : User Defined Wave Period
    • Lu : User Defined Wave Length
  • phasetype : Phase Angle Type
    • Θu : User Defined Phase Angle
    • xu : User Defined Displacement
    • tu : User Defined Time
  • ztype : Height Above Seabed Type
    • zhu : User Defined Height
  • Φs : Structure Heading
  • d : Water Depth
  • H : Wave Height
  • Um : Reference Velocity
  • zm : Reference Height Above Seabed

Tool Output

  • Θ : Wave Phase Angle
  • Φc : Current Heading Relative To Structure
  • Φw : Wave Heading Relative To Structure
  • η : Wave Surface Relative To Mean Sea Level
  • Ah : Wave Reduced Horizontal Acceleration
  • Am : Wave Reduced Acceleration Magnitude
  • Av : Wave Reduced Vertical Acceleration
  • L : Wave Length
  • Rdc : Current Reduction Factor
  • Rdw : Wave Reduction Factor
  • T : Wave Period
  • Vc : Current Reduced Velocity
  • Vc/Vt : Current Velocity Over Horizontal Velocity Ratio
  • Vh : Wave Reduced Horizontal Velocity
  • Vm : Wave Reduced Velocity Magnitude
  • Vt : Total Reduced Horizontal Velocity
  • Vv : Wave Reduced Vertical Velocity
  • c : Wave Celerity
  • cvg : Convergence Check
  • ro : Seabed Roughness
  • sp : Spreading Factor
  • zh : Height Above Seabed
  • zs : Wave Surface Height Above Seabed
  • zw : Wave Trough Height Above Seabed

CALCULATOR : Ocean Wave Spreading And Velocity Reduction Factor [FREE]   ±

Calculate wave spreading and velocity reduction factor from heading and spreading factor.

A relative heading of zero degrees is parallel to the structure, or ninety degrees is perpendicular to the structure. Small spreading factor factors are suitable for locally generated short crested "choppy" waves with multiple superimposed wave directions. Large spreading factors are suitable for long range uni directional waves with long crests.

Tool Input

  • sfactype : Shape Factor Type
    • su : User Defined Spreading Factor
  • rdtype : Velocity Reduction Factor Type
  • Φ : Relative Wave Heading

Tool Output

  • Rdw : Wave Velocity Reduction Factor
  • kw : Wave Shape kw Factor
  • sf : Wave Shape Factor

CALCULATOR : Ocean Current Velocity Reduction Factor [FREE]   ±

Calculate ocean current velocity reduction factor from relative heading to the pipeline or structure.

A relative heading of zero degrees is parallel to the pipeline, or ninety degrees is perpendicular to the pipeline.

Tool Input

  • hctype : Current Heading Type
    • Φcu : User Defined Current Relative Heading

Tool Output

  • Φrc : Relative Current Heading
  • Rdc : Current Velocity Reduction Factor