Grid motion functions for the performed uniform flow problem.

Table 1: Grid motion functions for the performed uniform flow problem.

Grid Velocity Evaluation Approach	Moving/Deforming Function	GCL	Analytic	BDF2
Rigid Translation	$x = x_{0} + 0 .2sin (2 Π t)$	✓	✓	✓
	$y = y_{0} + 0 .2sin (2 Π t)$
Rigid Rotation	$α = α_{0} + \frac{Π}{4} sin (2 Π t)$	✓	✓	×
Mesh Deformation	$x = x_{0} + 0 .2sin (Π x_{0}) \sin (2 Π t)$	✓	×	×
	$y = y_{0} + 0 .2sin (Π x_{0}) \sin (2 Π t)$