To this day, the transition from laminar flow to turbulence in channels is still an important aspect of many different phenomena such as blood flows, microfluidics, and laminar airfoils. Although a lot of researchers have tried, no methods of computational fluid dynamics can directly simulate the transition point in space for a wide range of Reynolds numbers. Previous research studies have captured only the transition in time. In this report, we present the first successful simulation of the transition point in three-dimensional space using a stochastic determinism approach based on a systematic evaluation of molecular discontinuity and proper control of numerical errors, although the results are not quantitative.
|ジャーナル||Japan Journal of Industrial and Applied Mathematics|
|出版ステータス||Published - 2011 4 1|
ASJC Scopus subject areas
- Applied Mathematics