Lattice Boltzmann simulation of fluid flows with fractal geometry: An unknown-index algorithm

Shing Cheng Chang, Yin Sung Hsu, Chieh-Li Chen

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

This paper presents an unknown-index algorithm for the lattice Boltzmann method to solve unknowns on boundaries with irregular or fractal geometry in the fluid flows. This algorithm is easy implemented as well as the bounceback method, but the solutions of unknowns can be given by not only the bounceback assumption of all unknowns but also solving the governing equations. By this scheme, we simulate the flow past a cylinder in an unbounded domain and get consistent results with other literatures. Afterward we replace the cylinder by a two-dimensional Taiwan-island-like object with outlines similar to the irregular coasts. Both steady and unsteady flows with vortex shedding are discussed by evaluating the drag coefficients and Strouhal number via the momentum-exchange method.

Original languageEnglish
Pages (from-to)523-531
Number of pages9
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume32
Issue number6
Publication statusPublished - 2011 Dec 1

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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