Direct Numerical Simulation on the Influence of Adjacent Cylinder/Ramp and Spanwise Spacing on the Transition of Flat Plate Flow

LING Weihao; WANG Zhiheng; HUANG Wenlin; SUN Zhongguo; XI Guang

doi:10.7652/xjtuxb202508004

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Direct Numerical Simulation on the Influence of Adjacent Cylinder/Ramp and Spanwise Spacing on the Transition of Flat Plate Flow

更新时间：2025-07-30

- Direct Numerical Simulation on the Influence of Adjacent Cylinder/Ramp and Spanwise Spacing on the Transition of Flat Plate Flow
- Journal of Xi’an Jiaotong University Vol. 59, Issue 8, Pages: 32-41(2025)
- 作者机构：
  
  西安交通大学能源与动力工程学院， 710049，西安
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202508004
  CLC： O357.5
- Received：02 January 2025，
  
  Online First：11 April 2025，
  
  Published：10 August 2025
- 稿件说明：
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LING Weihao, WANG Zhiheng, HUANG Wenlin, et al. Direct Numerical Simulation on the Influence of Adjacent Cylinder/Ramp and Spanwise Spacing on the Transition of Flat Plate Flow[J]. Journal of Xi’an Jiaotong University, 2025, 59(8): 32-41.
DOI：

LING Weihao, WANG Zhiheng, HUANG Wenlin, et al. Direct Numerical Simulation on the Influence of Adjacent Cylinder/Ramp and Spanwise Spacing on the Transition of Flat Plate Flow[J]. Journal of Xi’an Jiaotong University, 2025, 59(8): 32-41. DOI： 10.7652/xjtuxb202508004.

摘要

针对相邻粗糙元对平板转捩的影响尚未阐明的问题，基于直接数值模拟研究了由圆柱和斜坡两种形状组成的展向相邻粗糙元布局诱导平板边界层发生的转捩。粗糙元采用嵌入边界法进行解析，两种形状的粗糙元展向间距分别设为2.5

、5

，

为粗糙元高度。结果表明，强扰动的斜坡会主导发卡涡破碎、转捩的起始点以及平均流向脉动流输送的能量，不考虑斜坡时，展向间距的减小能有效促进转捩。不同形状粗糙元间的耦合作用会产生比相同形状粗糙元下更强的非线性相干结构。斜坡的强扰动主要是对相干结构的壁法向、展向两种脉动波产生贡献，而不是流向脉动波。适当小的展向间距所加强的不同形状相邻粗糙元间的耦合作用，有利于中心位置处非线性结构的演化，并且这种非线性结构可由全频带内的若干线性模态进行近似。当展向间距适当时，不同形状的粗糙元会在近下游的某个位置产生非线性结构的低频共振，这极大地增强了非线性结构的演化。

Abstract

In order to address the issue of unclarified effect of adjacent roughness elements on plate transition

direct numerical simulation was employed to investigate the transition induced by the spanwise arrangement of adjacent roughness elements

comprising cylinders and ramps. These roughness elements were resolved utilizing the embedded boundary method

with spanwise intervals set at 2.5

and 5

respectively

where

denotes the height of the roughness elements. The study elucidated the effects of transient and time-averaged flow characteristics

coherent structures

and characteristic modes. Findings indicated that ramps with significant disturbances predominantly influenced the breakdown of hairpin vortices

the onset of transition

and the energy transferred from time-averaged flow to the fluctuating flow. With the ramp neglected

a decrease in spanwise spacing effectively promoted transition. The interplay between roughness elements of varying shapes could g

enerate a more potent nonlinear coherent structure than that observed among elements of uniform shape. The intense disturbance caused by the ramp predominantly contributed to the wall-normal and spanwise fluctuating waves of the coherent structure

rather than to the streamwise fluctuating waves. The interaction between adjacent roughness elements of diverse shapes

facilitated by an optimal reduction in spanwise spacing

promoted the evolution of the nonlinear structure at the central position. This structure could be approximated by several linear modes across the full frequency spectrum. When the spanwise spacing was well-chosen

roughness elements with different shapes might induce low-frequency resonance of nonlinear structures in a region near the downstream

substantially enhancing their evolutionary dynamics.

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