1 www.snetp.eu www.nugenia.org NUGENIA is mandated by SNETP to coordinate nuclear Generation II & III R&D Project SPH-2PHASEFLOW Simulation of two-phase flow patterns with a new approach based on Smoothed Particle Hydrodynamics Jean-Pierre Minier (EDF R&D) This project has received funding from the Euratom Seventh Framework Programme under grant agreement No 604965.
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1www.nugenia.org www.snetp.eu
www.nugenia.org
NUGENIA is mandated by SNETP to coordinate
nuclear Generation II & III R&D
Project SPH-2PHASEFLOW
Simulation of two-phase flow patterns
with a new approach based on
Smoothed Particle Hydrodynamics
Jean-Pierre Minier
(EDF R&D)
This project has received funding from the Euratom Seventh Framework Programme under grant agreement No 604965.
2www.nugenia.org
Contents
General context and purpose of the project
Two-phase flow patterns and regime maps
Choice of the numerical approach
Organisation and specific aims of the project
Overview of basic features of SPH
Results obtained during the project
Validation in “elementary test cases”
Applications for two-phase flow regimes
Assessment with respect to other methods
Conclusion
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Two-phase flow issues in
Nuclear Power Plants (NPP)
Analysis of re-floods of damaged reactors
in severe accident scenarios
Study of steam-generator operating
conditions (also connected to tube fouling
and tube-support-plate particle clogging)
Fragmentation of vapour pockets in pumps
Formation of liquid films along walls, in
turbines and in severe accident scenarios
The well-known boiling (or heat flux) crisis
Particle deposition in two-phase flows
(AOA, steam-generators, etc.)
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Two-phase flow patterns
Various topologies of the liquid-gas
interface create a range of “flow patterns”
These “regimes” depend on the
orientation, fluid properties, operating
conditions…and on many unknowns!
Capturing regime transitions is an open issue
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Flow maps in vertical pipes
Existing regimes are often predicted from
empirical flow maps (for each situation!)
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Different flow maps can exist
These maps are qualitative (“observation”)
Extrapolation to other conditions is risky
Need for numerical approaches to try to
predict changes in two-phase flow patterns
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Which numerical approach?
Three levels of description can be used
The component-level of description
A local but statistically-average 3D
description based on “two-fluid models”
A local and instantaneous 3D level based
on Direct Numerical Simulation (DNS)
It is essential to be aware of the range of
validity of each level of description
Two-fluid models yield only one-point
information and it is NOT POSSIBLE to
capture two-phase flow regime transitions
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A classical pitfall…
One-point information on local values of the
gas and liquid volume fractions do not give
access to two-point information!
Illustration with a simple situation:
One-point values of 𝜶𝒍 𝒕, 𝒙 and 𝜶𝒈 𝒕, 𝒙 can
be exact but coalescence cannot be
predicted based on that sole information!
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Choosing the numerical model
To capture changes in two-phase flow
patterns, a DNS-like approach is needed
Both separated and dispersed regimes must
be handled properly in a single formulation
Selection of a new numerical approach
departing from traditional formulations
A particle-based approach:
Smoothed Particle Hydrodynamics (SPH)
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Aim of the project
SPH is increasingly used for single-phase
flows and, especially, free-surface flows
However, for two-phase flow applications,
the SPH method is still in its infancy
The overall objective of the NUGENIA
project is to assess the interest and the
potential of the SPH formulation for critical
two-phase flow problems
This approach is not meant to replace
more macroscopic formulations but to
complement them for specific issues
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Specific objectives
Development of a two-phase SPH model
for water/vapour two-phase flows
Assessment of the ability of the “two-phase
SPH” formulation to capture changes in
two-phase flow patterns
Analysis of specific cases (either specific
physical phenomena and/or mixed
separated/dispersed flow situations)
A step-by-step approach to be understood in
a long-term perspective
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Organisation of the project
Three partners are involved:
Electricité de France, Research Division,
Department for Fluid Dynamics, Power
Generation and Environment (EDF R&D)
Institute of Fluid Flow Machinery, Polish
Academy of Sciences, Gdansk, Group of
Multiphase Flows (IMP Gdansk)
Università degli Studi di Udine, Department
of Electrical, Management and Mechanical
Engineering, Multiphase Flow (Univ. Udine)
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What is SPH? Some basics
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Governing equations
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Accounting for surface tension
surface tension at the interface represented as
volume force ("continuum surface force",CSF)
[Brackbill et al., JCP 1992]:
SPH of liquid jet breakup[Wawreńczuk, 2004]
the normal unit vector based on
phase indicator ("color function "c)
and the interface curvature:
in the simplest SPH setting:
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Validation for simple cases
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Rayleigh-Plateau instability
SPH 2D/3D simulation of liquid column break-up (movies)