Bare concrete walls are usually an unpleasant thing to have in any home or building; they are bad at retaining heat and thus usually require some type of insulation to keep the rooms they surround comfortable. Many people choose to place styrofoam onto their concrete as insulation. However, gluing styrofoam on concrete may not be the most desirable option, as concrete tends to hold some moisture and this moisture could damage the styrofoam, meaning that the styrofoam will need to be replaced every other year or so. Styrofoam insulation will meet your short-term needs, but eventually you may want to consider using a different form of insulation.
Place a small amount of the construction adhesive on a hidden portion of the styrofoam and allow it to dry. This is to test the acidity of the adhesive and make sure that it will not eat through your styrofoam. If it does, you will need to purchase a different construction adhesive.
Apply a thick line of construction adhesive around the perimeter of the styrofoam surface that will contact the wall.
Apply lines of construction adhesive from the top to the bottom of the styrofoam, separated by 12 inches, until lines have been placed across the entire surface.
Push the styrofoam onto the concrete wall and hold it in place for 60 seconds.
Leave the styrofoam board in place for four to six hours to dry.
If you have trouble finding a construction adhesive that works with your styrofoam, ask your local hardware store for an adhesive specifically made for styrofoam. Using a concrete sealer such as DRYLOK will help to delay moisture from damaging your styrofoam.