Simulation of two‐ and three‐dimensional viscoplastic flows using adaptive mesh refinement |
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| Authors: | Jordi Cotela‐Dalmau Riccardo Rossi Antonia Larese |
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| Affiliation: | 1. CIMNE ‐ Centre Internacional de Metodes Numerics en Enginyeria, Campus Nord UPC, Barcelona, Spain;2. Universitat Politècnica de Catalunya, UPC Barcelona Tech, Barcelona, Spain |
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| Abstract: | This paper presents a finite element solver for the simulation of steady non‐Newtonian flow problems, using a regularized Bingham model, with adaptive mesh refinement capabilities. The solver is based on a stabilized formulation derived from the variational multiscale framework. This choice allows the introduction of an a posteriori error indicator based on the small scale part of the solution, which is used to drive a mesh refinement procedure based on element subdivision. This approach applied to the solution of a series of benchmark examples, which allow us to validate the formulation and assess its capabilities to model 2D and 3D non‐Newtonian flows. |
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| Keywords: | adaptive mesh refinement Bingham model variational multiscale stabilization viscoplastic fluids |
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