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Title: Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme

Abstract

This paper reports high resolution simulations using a fifth-order weighted essentially non-oscillatory (WENO) scheme with a third-order TVD Runge-Kutta time stepping method to examine the features of detonation front and physics in square ducts. The simulations suggest that two and three-dimensional detonation wave front formations are greatly enhanced by the presence of transverse waves. The motion of transverse waves generates triple points (zones of high pressure and large velocity coupled together), which cause the detonation front to become locally overdriven and thus form ''hot spots.'' The transversal motion of these hot spots maintains the detonation to continuously occur along the whole front in two and three dimensions. The present simulations indicate that the influence of the transverse waves on detonation is more profound in three dimensions and the pattern of quasi-steady detonation fronts also depends on the duct size. For a ''narrow'' duct (4L x 4L where L is the half-reaction length), the detonation front displays a distinctive ''spinning'' motion about the axial direction with a well-defined period. For a wider duct (20L x 20L), the detonation front exhibits a ''rectangular mode'' periodically, with the front displaying ''convex'' and ''concave'' shapes one following the other and the transverse waves onmore » the four walls being partly out-of-phase with each other. (author)« less

Authors:
;  [1]; ;  [2]
  1. Temasek Laboratories, National University of Singapore (Singapore)
  2. Department of Mechanical Engineering, National University of Singapore (Singapore)
Publication Date:
OSTI Identifier:
21116075
Resource Type:
Journal Article
Journal Name:
Combustion and Flame
Additional Journal Information:
Journal Volume: 154; Journal Issue: 4; Other Information: Elsevier Ltd. All rights reserved; Journal ID: ISSN 0010-2180
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; DETONATION WAVES; EXPLOSIONS; DUCTS; COMPUTERIZED SIMULATION; THREE-DIMENSIONAL CALCULATIONS; HOT SPOTS; LENGTH; PERIODICITY; SHAPE; WENO; Cell pattern formation

Citation Formats

Dou, Hua-Shu, Tsai, Her Mann, Khoo, Boo Cheong, and Qiu, Jianxian. Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme. United States: N. p., 2008. Web. doi:10.1016/J.COMBUSTFLAME.2008.06.013.
Dou, Hua-Shu, Tsai, Her Mann, Khoo, Boo Cheong, & Qiu, Jianxian. Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme. United States. https://doi.org/10.1016/J.COMBUSTFLAME.2008.06.013
Dou, Hua-Shu, Tsai, Her Mann, Khoo, Boo Cheong, and Qiu, Jianxian. 2008. "Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme". United States. https://doi.org/10.1016/J.COMBUSTFLAME.2008.06.013.
@article{osti_21116075,
title = {Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme},
author = {Dou, Hua-Shu and Tsai, Her Mann and Khoo, Boo Cheong and Qiu, Jianxian},
abstractNote = {This paper reports high resolution simulations using a fifth-order weighted essentially non-oscillatory (WENO) scheme with a third-order TVD Runge-Kutta time stepping method to examine the features of detonation front and physics in square ducts. The simulations suggest that two and three-dimensional detonation wave front formations are greatly enhanced by the presence of transverse waves. The motion of transverse waves generates triple points (zones of high pressure and large velocity coupled together), which cause the detonation front to become locally overdriven and thus form ''hot spots.'' The transversal motion of these hot spots maintains the detonation to continuously occur along the whole front in two and three dimensions. The present simulations indicate that the influence of the transverse waves on detonation is more profound in three dimensions and the pattern of quasi-steady detonation fronts also depends on the duct size. For a ''narrow'' duct (4L x 4L where L is the half-reaction length), the detonation front displays a distinctive ''spinning'' motion about the axial direction with a well-defined period. For a wider duct (20L x 20L), the detonation front exhibits a ''rectangular mode'' periodically, with the front displaying ''convex'' and ''concave'' shapes one following the other and the transverse waves on the four walls being partly out-of-phase with each other. (author)},
doi = {10.1016/J.COMBUSTFLAME.2008.06.013},
url = {https://www.osti.gov/biblio/21116075}, journal = {Combustion and Flame},
issn = {0010-2180},
number = 4,
volume = 154,
place = {United States},
year = {Mon Sep 15 00:00:00 EDT 2008},
month = {Mon Sep 15 00:00:00 EDT 2008}
}