A 3D OPENFOAM BASED FINITE VOLUME SOLVER FOR INCOMPRESSIBLE OLDROYD-B MODEL WITH INFINITY RELAXATION TIME.

In this paper, we develop a Finite Volume solver for a 3D incompressible Oldroyd-B model with infinity relaxation time. The Finite Volume solver is implemented by using a leading open-source computational mechanics software OpenFOAM. We have imposed the divergence free condition as a constraint on the momentum equation to derive a pressure equation and a predictor-corrector procedure is applied when solving the velocity field. Both stability analysis and numerical experiments are given to show the robustness and accuracy of our algorithm. Two concrete examples on a cubical domain and a dumbbell are computed and illustrated.