Numerical Treatment of Multi-phase Flow Equations with Chemistry and Stiff Source Terms

Homayun K. Navaz; Raymond M. Berg

doi:10.1016/S1270-9638(98)80055-2

Numerical Treatment of Multi-phase Flow Equations with Chemistry and Stiff Source Terms

Homayun K. Navaz, Raymond M. Berg

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

A computational model suitable for multiphase/multispecies flows has been developed. The source term containing the inter-phase interaction and species production/destruction terms can be numerically stiff, due to near-equilibrium chemistry, mass/momentum and energy exchange terms among phases. An Eulerian-Eulerian (E2) formulation for the conservation equations has been chosen. The chemistry model is described through a multi-step, finite-rate chemical kinetics model with third body reactions. The inviscid fluxes for the right and left states are evaluated using the Total Variation Diminishing (TVD) method. Lax-Friedrichs (LF) and Steger-Warming (SW) numerical fluxes are used to calculate the full flux in the gaseous and liquid phases, respectively. The TVD-LF-SW scheme proved to be robust and suitable for liquid rocket engine applications.

Original language	American English
Journal	Aerospace Science and Technology
Volume	2
DOIs	https://doi.org/10.1016/S1270-9638(98)80055-2
State	Published - Mar 19 1998

Keywords

Two-phase flow
Reacting flow
Spray combustion
Eulerian-Eulerian
Stiff source terms

Disciplines

Mechanical Engineering

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https://doi.org/10.1016/S1270-9638(98)80055-2

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title = "Numerical Treatment of Multi-phase Flow Equations with Chemistry and Stiff Source Terms",

abstract = " A computational model suitable for multiphase/multispecies flows has been developed. The source term containing the inter-phase interaction and species production/destruction terms can be numerically stiff, due to near-equilibrium chemistry, mass/momentum and energy exchange terms among phases. An Eulerian-Eulerian (E2) formulation for the conservation equations has been chosen. The chemistry model is described through a multi-step, finite-rate chemical kinetics model with third body reactions. The inviscid fluxes for the right and left states are evaluated using the Total Variation Diminishing (TVD) method. Lax-Friedrichs (LF) and Steger-Warming (SW) numerical fluxes are used to calculate the full flux in the gaseous and liquid phases, respectively. The TVD-LF-SW scheme proved to be robust and suitable for liquid rocket engine applications.",

keywords = "Two-phase flow, Reacting flow, Spray combustion, Eulerian-Eulerian, Stiff source terms",

author = "Navaz, {Homayun K.} and Berg, {Raymond M.}",

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T1 - Numerical Treatment of Multi-phase Flow Equations with Chemistry and Stiff Source Terms

AU - Navaz, Homayun K.

AU - Berg, Raymond M.

PY - 1998/3/19

Y1 - 1998/3/19

N2 - A computational model suitable for multiphase/multispecies flows has been developed. The source term containing the inter-phase interaction and species production/destruction terms can be numerically stiff, due to near-equilibrium chemistry, mass/momentum and energy exchange terms among phases. An Eulerian-Eulerian (E2) formulation for the conservation equations has been chosen. The chemistry model is described through a multi-step, finite-rate chemical kinetics model with third body reactions. The inviscid fluxes for the right and left states are evaluated using the Total Variation Diminishing (TVD) method. Lax-Friedrichs (LF) and Steger-Warming (SW) numerical fluxes are used to calculate the full flux in the gaseous and liquid phases, respectively. The TVD-LF-SW scheme proved to be robust and suitable for liquid rocket engine applications.

AB - A computational model suitable for multiphase/multispecies flows has been developed. The source term containing the inter-phase interaction and species production/destruction terms can be numerically stiff, due to near-equilibrium chemistry, mass/momentum and energy exchange terms among phases. An Eulerian-Eulerian (E2) formulation for the conservation equations has been chosen. The chemistry model is described through a multi-step, finite-rate chemical kinetics model with third body reactions. The inviscid fluxes for the right and left states are evaluated using the Total Variation Diminishing (TVD) method. Lax-Friedrichs (LF) and Steger-Warming (SW) numerical fluxes are used to calculate the full flux in the gaseous and liquid phases, respectively. The TVD-LF-SW scheme proved to be robust and suitable for liquid rocket engine applications.

KW - Two-phase flow

KW - Reacting flow

KW - Spray combustion

KW - Eulerian-Eulerian

KW - Stiff source terms

UR - https://digitalcommons.kettering.edu/mech_eng_facultypubs/160

UR - https://doi.org/10.1016/S1270-9638(98)80055-2

U2 - 10.1016/S1270-9638(98)80055-2

DO - 10.1016/S1270-9638(98)80055-2

M3 - Article

VL - 2

JO - Aerospace Science and Technology

JF - Aerospace Science and Technology

ER -

Numerical Treatment of Multi-phase Flow Equations with Chemistry and Stiff Source Terms

Abstract

Keywords

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