Conclusions

There is physical and other evidence that a global flood has occurred about 5,000 years ago
It is feasible that a boat to carry about 16,000 animals of all genera could have been built, having adequate room for food and water, with the animals cared for by eight people
There are reasonable explanations for how the repopulation of the earth to produce what we see today might have taken place
God was involved, but continuous miracles were not necessary!

Notes:

Remember the following to have an accurate picture of Noah's ark:

Only animals from each genus, not every species, were taken.
Noah and his sons (and their wives) were smart people.
They had a lot of time to plan and prepare. This allowed for the creation of a menagerie, the design of enclosures to be labor-saving, and the choice of foodstuffs to be compact. They may have hired people to do some of this work.
The ark was not a boat. It was a housing that only needed to FLOAT for one year.
The ark was not a zoo. The animals only needed to SURVIVE for one year.
God definitely helped, but we should not think that continuous miracles were necessary for the completion of a successful voyage. God normally operates through natural means.