Abstract
In this paper, the high order solution of the viscoelastic fluid flow is investigated. For this purpose, the Discontinuous Galerkin method is used which can be considered as combination of finite element and finite volume method. The Oldroyd-B model is used as the model for the viscoelastic flow. The DG algorithm is utilized to solve the viscoelastic flow by separating the stress tensor into the stresses due to the Newtonian solvent and the stresses due to the solved viscoelastic polymers. The planar contraction problem is solved as a benchmark for the viscoelastic flow. The results are in good agreement with those of the literature for both creeping and inertial flow when high order polynomials are used even on the coarse meshes. The results illustrate the promising potential of DG solvers for viscoelastic flow computation.
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