Simulations of Viscoelastic Fluids Flows Using a Modified Log-Conformation Reformulation

Winter, Ondřej; Bodnár, Tomáš

doi:10.14311/tpfm.2017.040

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Cited by 2 publications

(2 citation statements)

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“…The SIMPLE algorithm [11,12] is the main method used for the numerical solution of incompressible fluid flow problems (also due to its ability to treat unsteady flows). This algorithm is included in Open source Field Operation And Manipulation (OpenFOAM) and is described in detail in [7,14].…”

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

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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

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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%