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MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION

MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION. Patrick Corbitt Kerr , P.E . JJ Westerink, RC Martyr, ME Hope University of Notre Dame. Patrick C. Kerr 17 th ADCIRC WORKSHOP April 29-30, 2013. usSEABED : GoM Offshore Surficial Sediment Database.

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MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION

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  1. MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION • Patrick CorbittKerr, P.E. • JJ Westerink, RC Martyr, ME Hope • University of Notre Dame Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013

  2. usSEABED: GoM Offshore Surficial Sediment Database Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 2

  3. CURRENT TIDES ENERGY CURRENT Ike (2008) ENERGY

  4. Effect of Chezy-Type Bottom Friction Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 4

  5. Part I Wave Bottom Friction If circulation models are sensitive to bottom friction on the Louisiana-Texas shelf, what is the sensitivity of wave models to bottom friction formulation in that region? Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013

  6. Wave Bottom FrictionFriction Formulations JONSWAP Formulation Recommend by Literature Muddy Bottom? Madsen Formulation Variable Bottom Material Based on Manning’s n Bottom Friction in SWAN Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 6

  7. A B C

  8. D E G

  9. H I J

  10. Wave Bottom FrictionSummary of Findings • Model Response Sensitivity to Wave Bottom Friction Formulation • Madsen and JONSWAP formulations are both adequate • The JONSWAP friction coefficient is sensitive to bottom type, therefore a Cjfon=0.019m2s-3 should be used for the muddy LATEX shelf. Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 10

  11. Part II Component Contributions What is the spatial and temporal contributions of wave radiation stress and non-linear advection terms in a hurricane storm surge model and how do these processes compare with the other components of the shallow water equations? Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013

  12. OVERALL Contribution of Non-Linear Advection TEMPORAL

  13. Contribution of Wave Radiation Stress OVERALL TEMPORAL

  14. Component ContributionsScaling Ike at 5 Locations • Local • Non-Linear Advection • Coriolis • Surface Gradient • Atmospheric Pressure • Tidal Potential Gradient • Wind Stress • Wave Radiation Stress Gradient • Bottom Friction • Diffusion (Momentum) Terms Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 14

  15. LOCATION 1 Significant Terms: Pressure Surface Local Coriolis

  16. LOCATION 2 Major Terms: Local Coriolis Pressure Surface Moderate Terms: Advection Wind

  17. LOCATION 3 Significant Terms: Surface Wind Bottom Coriolis Local Advection

  18. LOCATION 4 Significant Terms: Surface Wind Advection Wave Bottom Coriolis

  19. LOCATION 5 Significant Terms: Bottom Surface Wind

  20. Component ContributionsSummary of Findings • Component Contributions for Hurricane Ike (2008) • Non-linear advection captures 10-20cm of geostrophic setup and increases resonant waves by 30-40cm. • Wave radiation stress adds 20-40cm to maximum water levels and is responsible for an earlier rise in water levels. • Bottom Friction and Coriolis were significant components in the development of Ike’s Forerunner. Galveston, TX Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 20

  21. QUESTIONS Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 21

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