Interesting Slugger926. The headcut erosion makes sense, and it means that the levees failed from the middle. The 17th street levee had a cement wall built on top of an earthen levee. The high wave action eroded away the top layer of the earthen levee, exposing the bottom of the cement wall, and opening a hole underneath the cement wall. A continuous flow of water through that hole created headcut erosion of the earthen levee below the cement wall. Once enough of the earthen levee was gone, the cement wall had no support and collapsed.
So you should either build the levee entirely out of earth, or entirely out of cement, but not both. The failure originated in the middle of the levee, at the transition point from earth to cement.
No matter how high you build a levee, nature can build a bigger wave, but you don't have to protect from all overflow. You can allow a reasonable (whatever reasonable is in this context) amount of water over the levee, which you can take care of with the pumps. But under no circumstances can you allow the levee to breach. The flooding is not caused by large wave overflow. The flooding comes from continuous sea level flow.
Good Luck
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As a circle of light increases so does the circumference of darkness around it. - Albert Einstein