Overtopping failure in levees Michal Mersie Delft University

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Overtopping failure in levees Michaël Mersie Delft University of Technology December 16, 2020 1

Overtopping failure in levees Michaël Mersie Delft University of Technology December 16, 2020 1

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What will happen? 3

What will happen? 3

Predominant damping factor? source: Rijkswaterstaat, Zoom. nl 4

Predominant damping factor? source: Rijkswaterstaat, Zoom. nl 4

Table of contents • • • Problem Current methods New proposed method Finite element

Table of contents • • • Problem Current methods New proposed method Finite element approach Future work source: Rijkswaterstaat, Zoom. nl 5

Problem source: Rijkswaterstaat 6

Problem source: Rijkswaterstaat 6

Problem • Stability of flood embankments • Local soil source: E-Connection 7

Problem • Stability of flood embankments • Local soil source: E-Connection 7

Current methods • Wave overtopping simulator – expensive • PORO-WSSI – based on porous

Current methods • Wave overtopping simulator – expensive • PORO-WSSI – based on porous seabed – does not match reality – pore water carries load source: Waterbouwkundig Laboratorium 8

New proposed method • 9

New proposed method • 9

Virtual work 10

Virtual work 10

Domain 11

Domain 11

Resulting PDEs 12

Resulting PDEs 12

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Initial conditions • 18

Initial conditions • 18

Finite Element approach • P 1 elements source: de Mechanica 19

Finite Element approach • P 1 elements source: de Mechanica 19

 • Matrix decomposition (van Ophem et al. ) • Defining new state variable

• Matrix decomposition (van Ophem et al. ) • Defining new state variable 20

Time integration • Crank-Nicolson Method • Modified Euler Method 21

Time integration • Crank-Nicolson Method • Modified Euler Method 21

Future work • • Implementation of FE model Verification Parameter analysis Extension: – More

Future work • • Implementation of FE model Verification Parameter analysis Extension: – More complex domain – Accelerations – Solving for porosity 22

Thank you for your attention! Michaël Mersie m. l. j. mersie@student. tudelft. nl michael.

Thank you for your attention! Michaël Mersie m. l. j. mersie@student. tudelft. nl michael. mersie@rws. nl 23