分野別セミナー

The presence of nonlinear and non-symmetric convective terms
complicates the solving of the Navier-Stokes equations, and
this difficulty increases with Reynolds number. In this work,
the characteristic-curve method is employed, based on the
approximation of the material derivate along the trajectory of
a fluid particle. The method is advantageous as it renders the
matrix for linear equations symmetric, thus enabling the
Conjugate Gradient(CG) method to be used together with the
Schur Complement System of the Domain Decomposition
Method(DDM). By using a stabilization technique, the inf-sup
condition need not be met for P1/P1 elements, which are swift
and efficient, to be implemented. The algorithm is implemented
in parallel under the ADVENTURE project.