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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. University of Notre Dame. Patrick C. Kerr 17 th ADCIRC WORKSHOP April 29-30, 2013. Part I Wave Bottom Friction.

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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 Corbitt Kerr, P.E. • University of Notre Dame Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013

  2. 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

  3. 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 3

  4. A B C

  5. D E G

  6. H I J

  7. 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 7

  8. 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

  9. OVERALL Contribution of Non-Linear Advection TEMPORAL

  10. Contribution of Wave Radiation Stress OVERALL TEMPORAL

  11. 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 11

  12. LOCATION 1 Significant Terms: Pressure Surface Local Coriolis

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

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

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

  16. LOCATION 5 Significant Terms: Bottom Surface Wind

  17. 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 17

  18. QUESTIONS Patrick C. Kerr 17th ADCIRC WORKSHOP April 29-30, 2013 18

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