die Hauswand
house wall
One of the outer, vertical boundary surfaces of a house.
An der südlichen Hauswand wächst wilder Wein empor.
Wild grapevine is climbing up the southern house wall.

house wall
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house wall
One of the outer, vertical boundary surfaces of a house.
An der südlichen Hauswand wächst wilder Wein empor.
Wild grapevine is climbing up the southern house wall.

This word is a simple compound made up of 'Haus' (house) and 'Wand' (wall). It therefore refers to a wall that belongs to a house, specifically an exterior wall.
Die Kinder malten mit Kreide auf den Gehweg, aber nicht an die Hauswand.
The children drew with chalk on the sidewalk, but not on the house wall.
With 'Hauswand' (house wall), the preposition 'an' is used. To describe a position, you use the dative ('an der Hauswand' — on/against the house wall). To describe movement toward it, you use the accusative ('an die Hauswand' — onto/against the house wall).
Das Fahrrad lehnt an der Hauswand.
The bicycle is leaning against the house wall.
Typical actions in connection with a house wall are: ivy grows 'an der Hauswand hoch' (up the house wall), you lean something 'an die Hauswand' (against the house wall), or someone sprays graffiti 'an eine Hauswand' (on a house wall).
Unbekannte haben in der Nacht Graffiti an die Hauswand unserer Schule gesprüht.
Unknown people sprayed graffiti on the wall of our school during the night.
wall
'die Wand' and 'die Hauswand' both refer to vertical surfaces. 'Wand' is the more general word: it can be a wall in a room, in a building, or another boundary surface. 'Hauswand' is more specific and means the outer wall of a house. The words can be confused because a house wall is also a wall. If the location is not important, 'Wand' is enough. If it should be clear that it is on the outside of the house, you say 'Hauswand'.

An der Hauswand wachsen im Sommer viele grüne Pflanzen.
Many green plants grow on the house wall in summer.
Heute streiche ich die Wand hinter dem Schreibtisch hellblau.
Today I am painting the wall behind the desk light blue.