Numerical simulation of steady and unsteady flow for generalized Newtonian fluids

Keslerová, Radka; Trdlička, David; Řezníček, Hynek

doi:10.1088/1742-6596/738/1/012112

Cited by 4 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The artificial compressibility method (designed to treat steady flows) was used in our in-house built FDM and FVM codes. This method [4,6] is used to obtain equation for pressure. It means that the continuity equation is completed by a pressure time derivative term ∂p β 2 ∂t , where β is a positive parameter, making the inviscid part of the system of equations hyperbolic.…”

Section: Methodsmentioning

confidence: 99%

Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels

Keslerová¹,

Lancmanová²,

Bodnár³

2023

Programs and Algorithms of Numerical Mathematics 21

View full text Add to dashboard Cite

This work deals with the flow of incompressible viscous fluids in a two-dimensional branching channel. Using the immersed boundary method, a new finite difference solver was developed to interpret the channel geometry. The numerical results obtained by this new solver are compared with the numerical simulations of the older finite volume method code and with the results obtained with OpenFOAM. The aim of this work is to verify whether the immersed boundary method is suitable for fluid flow in channels with more complex geometries with difficult grid generation.

show abstract

Section: Methodsmentioning

confidence: 99%

Validation of numerical simulations of a simple immersed boundary solver for fluid flow in branching channels

Keslerová¹,

Lancmanová²,

Bodnár³

2023

Programs and Algorithms of Numerical Mathematics 21

View full text Add to dashboard Cite

show abstract

“…where P is the dynamic pressure, ρ is the constant density, u is the velocity vector, µ(γ) denotes the dynamic viscosity of the generalized Newtonian fluid given by one of the Eqs. (2)-(4) and D is the symmetric part of the velocity gradient, see [1], [9], [18]. System of equations (5) is equipped with an initial condition u(x, 0) = u 0 (x) and with the boundary conditions specified at ∂Ω.…”

Section: Mathematical Modelmentioning

confidence: 99%