I. Patlashenko et D. Givoli, NONLOCAL AND LOCAL ARTIFICIAL BOUNDARY-CONDITIONS FOR 2-DIMENSIONAL FLOW IN AN INFINITE CHANNEL, INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 6(3), 1996, pp. 47-62
The numerical solution of problems involving two-dimensional flow in a
n infinite or a semi-infinite channel is considered. Beyond a certain
finite region, where the flow and geometry may be general, a ''tail''
region is assumed where the flow is potential and the channel is unifo
rm. This situation is typical in many cases of fluid-structure interac
tion and flow around obstacles in a channel. The unbounded domain is t
runcated by means of an artificial boundary B, which separates between
the finite computational domain and the ''tail.'' On B, special bound
ary conditions are devised. In the finite computational domain, the pr
oblem is solved using a finite element scheme. Both non-local and loca
l artificial boundary conditions are considered on B, and their perfor
mance is compared via numerical examples