Реферат: We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven solid-fluid transformations in flows of viscoplastic fluids, also called yield-stress fluids. In contrast to the conventional approaches relying on the non-linear viscosity concept of the Navier-Stokes theory and representation of the solid state as an infinitely rigid non-deformable solid, the solid state in our theory is deformable and the fluid state is considered rather as a “melted” solid via a certain procedure of relaxation of tangential stresses similar to Maxwell's visco-elasticity theory. The model is formulated as a system of first-order hyperbolic partial differential equations with possibly stiff non-linear relaxation source terms. The computational strategy is based on a staggered semi-implicit scheme which can be applied in particular to low-Mach number flows as usually required for flows of non-Newtonian fluids. The applicability of the model and numerical scheme is demonstrated on a few standard benchmark test cases such as Couette, Hagen-Poiseuille, and lid-driven cavity flows. The numerical solution is compared with analytical or numerical solutions of the Navier-Stokes theory with the Herschel-Bulkley constitutive model for nonlinear viscosity. © 2021 Elsevier Ltd

Библиографическая ссылка: Peshkov I. , Dumbser M. , Boscheri W. , Romenski E. , Chiocchetti S. , Ioriatti M.
Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
Computers and Fluids. 2021. V.224. 104963 . DOI: 10.1016/j.compfluid.2021.104963 WOS Scopus OpenAlex

Идентификаторы БД:

Web of science:	WOS:000654237100005
Scopus:	2-s2.0-85105009742
OpenAlex:	W3156103964

Цитирование в БД:

БД	Цитирований
Scopus	24
OpenAlex	29
Web of science	23

Альметрики: