Westervoß, PatrickTurek, StefanDamanik, HogenrichOuazzi, Abderrahim2019-12-132019-12-132019-112190-1767http://hdl.handle.net/2003/3843210.17877/DE290R-20363In this work, the novel "Tensor Diffusion" approach for simulating viscoelastic fluids is proposed, which is based on the idea, that the extra-stress tensor in the momentum equation of the flow model is replaced by a product of the strain-rate tensor and a tensor-valued viscosity. At least for simple flows, this approach offers the possibility to reduce the full nonlinear viscoelastic model to a generalized "Tensor Stokes" problem, avoiding the need of considering a separate stress tensor in the solution process. Besides fully developed channel flows, the “Tensor Diffusion” approach is evaluated as well in the context of general two-dimensional flow configurations, which are simulated by a suitable four-field formulation of the viscoelastic model respecting the "Tensor Diffusion". However, substituting the extra-stress tensor by the "Tensor Diffusion" in the complete flow model is desired for general two-dimensional flows as well, again to be able to reduce the full nonlinear viscoelastic model to a Stokes-like problem.enErgebnisberichte des Instituts für Angewandte Mathematik;617610preprintNumerische StrömungssimulationViskoelastische FlüssigkeitSpannungstensor