Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme

نویسندگان

چکیده

We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows in particular stress-driven solid-fluid transformations viscoplastic fluids, also called yield-stress fluids. In contrast conventional approaches relying on non-linear viscosity concept Navier-Stokes theory representation state as an infinitely rigid non-deformable solid, our is deformable considered rather "melted" via certain procedure relaxation tangential stresses similar Maxwell's visco-elasticity theory. The formulated system first-order partial differential equations with possibly stiff source terms. computational strategy based staggered semi-implicit scheme which can be applied low-Mach number usually required numerical demonstrated few standard benchmark test cases such Couette, Hagen-Poiseuille, lid-driven cavity flows. solution compared analytical or solutions Herschel-Bulkley constitutive nonlinear viscosity.

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ژورنال

عنوان ژورنال: Computers & Fluids

سال: 2021

ISSN: ['0045-7930', '1879-0747']

DOI: https://doi.org/10.1016/j.compfluid.2021.104963