Build a primitive rocket stove above ground
Rocky ground, hard clay and heavy roots can make digging miserable or impossible. A primitive rocket stove gives you the same basic advantage above ground: a small wood fire, concentrated heat and strong airflow beneath a cooking pot.

What you need
Sturdy rocks. Choose dry, dense stones that are not crumbly. Avoid rocks taken from streams, lakes or other saturated locations because trapped moisture can turn to steam when heated and cause stone to fracture.
Clay-rich soil or mud. Use it to fill gaps and help stabilize the structure. The rocks themselves still need to be stacked securely.
Small dry wood. Twigs and sticks are the fuel. You do not need large firewood.
A stable pot support. The cookware sits above the chimney with enough gap for hot gases to escape.
Build the basic shape
Clear leaves, pine needles, dry grass and other burnable material well away from the stove.
Stack rocks to form a low opening where you can slide in small sticks. Keep the passage short so air and heat are directed toward the chimney.
At the back of the fuel opening, build upward with more rocks to form a vertical chimney. This creates the L shape that makes the stove work.
Use clay-rich mud around the outside to reduce large air leaks and stabilize the structure while keeping the inside passage open.
Feed small dry sticks through the horizontal opening. As the chimney heats, rising gases help pull fresh air through the fuel opening.
Support cookware securely and leave an exhaust gap. If the pot completely blocks the top, the stove cannot draft properly.
Why rocks and mud?
If you already have firebrick, clay brick or a purpose-built rocket stove, use the easier option. This guide exists for the opposite situation: you need to cook, you cannot reasonably dig, and natural materials are what you actually have.
Do not grab wet stones from a creek or lake for a fire structure. Use dry, stable rock and stop using the stove if stones begin cracking or shifting.
When you're finished
Let the stove cool completely. Douse and stir the remaining coals until there is no heat or smoldering material. Do not dismantle hot stones. Restore the site when everything is cold.