Develop a reasonable layout of nodes and control volumes for the geometry shown in the sketch below. Provide a scale drawing showing the problem geometry overlaid with the nodes and control volumes. Identify each type of control volume used.
GIVEN
• Rectangular problem geometry with corners removed
FIND
(a) Reasonable layout of nodes and control volumes.
(b) Identify each type of control volume.
SKETCH
The largest grid spacing for this problem is ?x = ?y = 1 cm. If we used a larger node spacing, we could not adequately represent the cutout corners. The right side of the figure shows the resulting placement of nodes and control volumes. The notation for the type of control volumes is: ec = exterior corner, ic = interior corner, he = horizontal edge, ve = vertical edge.
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