Numerical Investigation of Incompressible Fluid Flow in Planar Branching Channels

Bodnár, Tomáš; Keslerová, Radka; Lancmanová, Anna

doi:10.1007/978-3-031-14324-3_5

Cited by 2 publications

(3 citation statements)

References 22 publications

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“…A characteristic feature of this method is that the numerical simulation of fluid flow is performed on Cartesian grid that does not have to directly copy the geometry of the computational (fluid) domain, see e.g. [3,10]. The situation can be described using the schematic sketch (shown in Fig.…”

Section: Immersed Boundary Methodsmentioning

confidence: 99%

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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.

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Section: Immersed Boundary Methodsmentioning

confidence: 99%

“…The velocity fields in the solid domain is set to zero, so that the governing equations are only solved in the points in the fluid region, see e.g. [3,8].…”

Section: Immersed Boundary 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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“…The modified (reduced numerical diffusion) Lax-Friedrichs scheme was used, together with the pressure correction method for velocity-pressure coupling, employing a Jacobi solver for the discretized Poisson equation. More details about the implementation and validation of this numerical approach can be found in [4], [11].…”

Section: Two-dimensional Flow Modelmentioning

confidence: 99%

On the 2D-1D Coupling in Numerical Simulations of Simplified Air Flow Model in Human Airways

Bodnár,

Lancmanová

2023

10th Edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering

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This paper presents selected results regarding the implementation, validation and testing of a simple 2D-1D coupled model designed to capture some essential features of the oscillatory air flow in human respiratory system. The model relies on a 2D flow model solved by a simple finite-difference scheme in the immersed boundary setting. The incompressible fluid flow from this model is coupled to a simplified 1D fluid-structure-interaction model simulating the flow in a tube with elastic walls. Some first results obtained using the coupled 2D-1D model in an oscillating (Womersley-like) type of flow are presented and discussed in detail. The influence of model parameters is explored for a range of physically relevant settings.

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Numerical Investigation of Incompressible Fluid Flow in Planar Branching Channels

Cited by 2 publications

References 22 publications

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

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

On the 2D-1D Coupling in Numerical Simulations of Simplified Air Flow Model in Human Airways

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