𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Measurements of wall shear stress with the lattice Boltzmann method and staircase approximation of boundaries

✍ Scribed by B. Stahl; B. Chopard; J. Latt


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
787 KB
Volume
39
Category
Article
ISSN
0045-7930

No coin nor oath required. For personal study only.

✦ Synopsis


We analyze the accuracy of wall shear stress measurements in lattice Boltzmann simulations that are based on a voxel representation of the geometry and staircase approximation of boundaries. Such approximations are commonly used in the context of lattice Boltzmann simulations, because they favor the use of simple and highly efficient data structures. We show on several two-and three-dimensional simulations that this low-order approximation of the boundary affects the accuracy of wall shear stress measurements in areas directly adjacent to the wall. A few lattice nodes apart from the wall, the accuracy is however largely improved, and can be considered to be compatible with the overall accuracy of a simulation at a given coarseness level of the grid. This result is interpreted as a justification for the use of walls with staircase shape, even in simulations with high expectations regarding the level of accuracy. Furthermore, we propose a novel method for establishing the direction of the wall normal, a quantity which is required for the computation of the wall shear stress. With this method, the wall normal is computed from local data that is extracted from the results of the fluid flow simulation. Owing to the nature of the flow dynamics, which tends to smooth out the asperities of the wall, the information on the wall orientation obtained in this way is observed to be of high quality.


📜 SIMILAR VOLUMES


Reproducibility of wall shear stress ass
✍ Frieke M.A. Box; Rob J. van der Geest; Jeroen van der Grond; Matthias J.P. van O 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 204 KB

## Abstract ## Purpose To verify whether wall shear stress (WSS) can be assessed in a reproducible manner using automatic model‐based segmentation of phase‐contrast MR images by determination of flow volume and maximum flow velocity (Vmax) in cross‐sections of these vessels. ## Materials and Meth

Peak Position Determination of X-Ray Dif
✍ Dr. S. Grosswig; Dipl.-Phys. K.-H. Jäckel; Dr. R. Kittner 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 454 KB 👁 1 views

The possibilities and limits of the polynomial approximation for an accurate determination of the peak position of X-ray diffraction profiles in precision lattice parameter measurements according to the BOND-method are investigated. The use of a polynomial approximation with reciprocal measuring val