Novel lagrangian-particle tracking method for highly compressible, turbulent, reacting flows

Yoram Kozak, S. Sandeep Dammati, Luis G. Bravo, Peter E. Hamlington, Alexei Y. Poludnenko

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations


In this paper, we discuss a novel Lagrangian-particle tracking method for highly compressible turbulent reacting flows. Both time integration and interpolation schemes are developed with the goal of providing high solution accuracy in the presence of discontinuities in the flow field created by shock waves or flame fronts. It is demonstrated that symplectic time integrators maintain the Lagrangian fluid parcel’s radial position errors low and bounded over the long-time integration periods. While phase errors can grow indefinitely with time, it is shown that they also remain low. Furthermore, it is demonstrated that once discontinuous flow fields are introduced, centered interpolation schemes do not provide adequate accuracy. In order to solve this problem, a new interpolation scheme is developed based on Weighted-Essentially-Non-Oscillatory (WENO) method. When temporal discretization errors are sufficiently small, the new WENO scheme can reduce the trajectory and phase errors by more than an order of magnitude in comparison with the traditional centered schemes. Presented approach can serve as the basis for high-fidelity, efficient numerical particle solvers for direct numerical and large-eddy simulations of high-speed, multiphase, compressible turbulent reacting flows found in hypersonic and detonation-based propulsion systems.

Original languageEnglish
Title of host publicationAIAA Scitech 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105784
StatePublished - 1 Jan 2019
Externally publishedYes
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: 7 Jan 201911 Jan 2019

Publication series

NameAIAA Scitech 2019 Forum


ConferenceAIAA Scitech Forum, 2019
Country/TerritoryUnited States
CitySan Diego

ASJC Scopus subject areas

  • Aerospace Engineering


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