University of Illinois Urbana-Champaign

High resolution numerical simulation of ideal and non-ideal non-ideal compressible reacting flows with embedded internal boundaries

Xu, Shaojie; Aslam, Tariq D.; Stewart, D. Scott

Content Files
TAM844-UILU-ENG-1997-6005.pdf

Permalink

https://hdl.handle.net/2142/112546

Description

Title
High resolution numerical simulation of ideal and non-ideal non-ideal compressible reacting flows with embedded internal boundaries
Author(s)
  • Xu, Shaojie
  • Aslam, Tariq D.
  • Stewart, D. Scott
Issue Date
1997-01
Keyword(s)
  • High Resolution Numerical Simulation
  • Embedded Internal Boundaries
Date of Ingest
2021-11-04T16:29:11Z
Abstract
This paper explains the methodology used to develop a high-resolution, multidimensional Euler solver that is capable of handling non-ideal equation of state and stiff chemical source terms. We have developed a pointwise implementation that has computational advantages for our intended applications, as opposed to a finite volume implementation. Our solver allows for the placement of internal reflective boundaries and the standard inflow and outflow and reflective boundaries at the edge of the domain. We discuss the spatial discretization and the temporal integration schemes, upwinding and flux splitting and the combined use of the Lax-Friedrichs and Roe scheme to solve for the required fluxes. A complete description of the pointwise internal boundary method is given. An overall summary of a representative code structure is given. We provide details on the verification of our integrated set of algorithms that resulted in an application code. We demonstrate the order of convergence for test problems. Two example applications from measurement of detonation shock dynamics and deflagration to detonation transition in porous energetic materials are presented.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 844
  • 1997-6005
ISSN
0073-5264
Type of Resource
text
Genre of Resource
technical report
Language
eng
Permalink
http://hdl.handle.net/2142/112546
Sponsor(s)/Grant Number(s)
Air Force Wright Labs 97/01; Air Force Office of Scientific Research 97/01; Energy Department 97/01
Copyright and License Information
Copyright 1997 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.