抄録
This study concerns changes in the conservative properties of the kinetic energy due to boundary conditions in two-dimensional incompressible flow simulations using the vorticity equation.In the both two-dimensional closed domain and periodic domain which corresponds to open domain under the periodic boundary condition,derivation procedures of the conservation equation for the kinetic energy from the inviscid vorticity equation are analytically considered,and the procedures are discretely formulated.The results reveal the conservative properties of the kinetic energy in the both domains.Whereas the analytical procedure can be replicated discretely and consistently in the periodic domain,the procedure can not be replicated discretely in the closed domain though the boundaiy condition imposes zero as the boundaiy value on the streamfunction.This is because procedures which eliminate the boundary integral term using streamfunction on boundaries can not be replicated discretely.These mean that the kinetic energy is not conserved in the closed domain.
