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

Keslerová, Radka, Lancmanová, Anna, Bodnár, Tomáš (2023)

Programs and Algorithms of Numerical Mathematics

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...

Vanishing viscosity limit for an expanding domain in space

James P. Kelliher, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes (2009)

Annales de l'I.H.P. Analyse non linéaire

Very weak solutions of the stationary Stokes equations in unbounded domains of half space type

Reinhard Farwig, Jonas Sauer (2015)

Mathematica Bohemica

We consider the theory of very weak solutions of the stationary Stokes system with nonhomogeneous boundary data and divergence in domains of half space type, such as $ℝ_{+}^{n}$ , bent half spaces whose boundary can be written as the graph of a Lipschitz function, perturbed half spaces as local but possibly large perturbations of $ℝ_{+}^{n}$ , and in aperture domains. The proofs are based on duality arguments and corresponding results for strong solutions in these domains, which have to be constructed in homogeneous...

Displaying 1 – 3 of 3

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

Vanishing viscosity limit for an expanding domain in space

Very weak solutions of the stationary Stokes equations in unbounded domains of half space type

Currently displaying 1 – 3 of 3