Hills Make It Faster

Wind Accelerates Over Hills

Ever watched a river speed up as it flows over rocks? Wind does the same thing over hills. A building at the top of a hill can face wind speeds 80% higher than one at the bottom. Drag the building to see how position changes everything.

1.0
Current Kzt
0
% Max Speed-Up
3.2x
Max Pressure
Drag the Slider to Move the Building
180 mph 324 mph 180 mph 1.8 Crest (Maximum Speed-Up) Windward Slope Leeward Slope
Position: Crest
1.80
Kzt Factor
+80%
Wind Speed Increase
3.24x
Pressure Multiplier

Different Features, Different Speed-Up

Hills, ridges, and cliffs each accelerate wind differently based on their shape and steepness.

Isolated Hill

Kzt up to 1.5

A standalone hill with gradual slopes. Wind accelerates over the top but has room to flow around the sides, limiting speed-up.

2D Ridge

Kzt up to 1.8

A long ridge that extends perpendicular to wind flow. Wind cannot go around, so it must all accelerate over the top.

Escarpment (Cliff)

Kzt up to 1.8

A steep face where flat land suddenly rises. Wind hits the cliff and is forced up and over, creating intense acceleration at the edge.

The Physics: Squeeze = Speed

Imagine pinching a garden hose. The same amount of water has to flow through a smaller opening, so it speeds up. Hills do the same thing to air - they squeeze the wind flow into a smaller vertical space, forcing it to accelerate.

The steeper the hill and the closer to the crest, the more squeeze and the faster the wind. At the very top, wind can be moving nearly twice as fast as at ground level far away.

Kzt = (1 + K1 K2 K3)^2
K1 = hill shape | K2 = distance from crest | K3 = height above ground
Streamlines Compressed! Wide spacing = slow Tight spacing = fast

Does Your Site Need Kzt?

Topographic effects only apply under certain conditions. Here is how to know if your project is affected.

Building in Upper Half of Hill

If your building sits in the top 50% of a hill or ridge (measured from base to crest), topographic effects apply and Kzt will be greater than 1.0.

Terrain Slope Over 10%

Hills must have a slope steeper than about 1:10 (10% grade) for speed-up effects to be significant enough to matter.

Flat Land (Most of Miami)

If your site is on generally flat terrain with no significant hills, ridges, or escarpments nearby, Kzt = 1.0 and there is no speed-up effect.

Building at Base of Hill

Buildings in the lower half of a hill or beyond 2 times the hill height away from the crest are not significantly affected by speed-up.

Topographic Speed-Up FAQs

Think of wind like water flowing in a stream. When water hits a rock, it speeds up as it flows over. Wind does the same thing with hills. The Kzt factor tells you how much faster the wind moves at your building location compared to flat ground. At the top of a steep hill, wind can be moving almost twice as fast.

For most Miami-Dade projects, Kzt = 1.0 because the area is basically flat. But some sites near elevated features - like bluffs near the coast, landfills, or man-made berms - might have speed-up effects. We always check site topography to see if adjustment is needed.

Kzt can reach up to 1.8 at the crest of a steep ridge. Since wind pressure depends on velocity squared, Kzt of 1.8 means pressure increases by 1.8 x 1.8 = 3.24 times! Even a modest Kzt of 1.2 increases pressure by 44%. This is why hilltop buildings need much stronger windows than valley buildings.

Right at the top (crest) of the hill is where wind acceleration is maximum and Kzt is highest. As you move down either the windward slope (toward the wind) or the leeward slope (away from the wind), Kzt decreases. By the time you reach the base of the hill or move far enough away horizontally, Kzt returns to 1.0.

Speed-Up Factor
1.80
Kzt at Current Position
Position Crest
Speed Increase +80%

Get Your Topographic Analysis

PE-stamped calculations include site-specific Kzt evaluation based on actual terrain data. No surprises, no guesswork.

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