Numerical simulation of low Mach number reactive flows

A new formulation for the numerical solution of low Mach number compressible flow problems is presented and analyzed. In this formulation the thermal part (energy and species equations) is solved implicitly and decoupled from the momentum equation, whereas the hydrodynamic part (momentum-continuity)...

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Bibliographic Details
Published in:Journal of scientific computing 1997-06, Vol.12 (2), p.139-167
Main Authors: TOMBOULIDES, A. G, LEE, J. C. Y, ORSZAG, S. A
Format: Article
Language:English
Subjects:
Applied sciences
Combustion. Flame
Compressible flow
Energy
Energy. Thermal use of fuels
Errors
Exact sciences and technology
Jet flow
Mach number
Mathematical methods in physics
Mathematics
Momentum
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation and analysis
Numerical simulation
Numerical simulation, solution of equations
Physics
Sciences and techniques of general use
Theoretical studies
Theoretical studies. Data and constants. Metering
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Description
Summary:A new formulation for the numerical solution of low Mach number compressible flow problems is presented and analyzed. In this formulation the thermal part (energy and species equations) is solved implicitly and decoupled from the momentum equation, whereas the hydrodynamic part (momentum-continuity) is advanced in time using a high order splitting approach which results in overall high order accuracy in time and minimal errors in mass conservation. These errors are analyzed using both analytical tools and benchmark numerical examples. Results from two-dimensional simulations with one-step global reaction in opposed jet flame and porous particle configurations are also presented.
ISSN:0885-7474
1573-7691
DOI:10.1023/A:1025669715376