B RE
C entre for
F ire Safety Engineering
“Fire modelling”
QMFSE lecture 8
Stephen Welch
Lecturer in Computational Modelling for Fire Safety Engineering
School of Engineering and Electronics
The University of Edinburgh
Content
• Fire Safety Engineering (FSE)
Guidance documents
Scope of FSE/models
• Fire models
Simple calculation methods
Zone models
CFD models
Comparisons
Demo
Fire safety engineering - scope
Fire Risk
Fire Initiation
Passive Fire
and
Protection
Development
Fire
Suppression Fire Detection
Systems
Smoke
Movement
People and
Fire
Fire Safety Engineering (SFPE)
• Application of science and engineering
principles to protect people and their
environment from destructive fire
analysis of fire hazards
mitigation of fire damage by proper design, construction,
arrangement, & use of buildings, materials, structures,
industrial processes, & transportation systems
the design, installation & maintenance of fire detection &
suppression + communication systems
post/fire investigation & analysis
Provision for FSE – BS7974
1: Initiation and development of fire within the enclosure of
origin
2: Spread of smoke and toxic gases within and beyond the
enclosure of origin
3: Structural response and fire spread beyond the enclosure of
origin
4: Detection of fire & activation of fire protection systems
5: Fire service intervention
6: Evacuation
7: Probabilistic risk assessment
Eurocodes
Model types
• Deterministic
one outcome for a given set of fixed initial
conditions and pre-determined inter-relationships
between events
• Probabilistic
a weighted distribution of possible outcomes for a
given set of probabilities assigned to initial
conditions and later events
Risk assessment e.g. METHOD, CRISP
human egress e.g. SIMULEX, CRISP
Fire models - deterministic
• Simple calculation methods
ASKFRS, FPE tool, Design guides
• Zone models
Roofvent, CFAST, HAZARD
• CFD models
RANS:
JASMINE, SOFIE, PHOENICS, CFX
LES:
FDS, CFX
Fire models - probablistic
• Risk models
CRISP, METHOD
• Evacuation models
CRISP, SIMULEX, EXODUS, Gridflow, EXITT
Fire models - further info
• “Fire model survey”
http://www.firemodelsurvey.com/
Review papers
SFPE Journal of Fire Protection Engineering, 13 (2),
2003
SFPE Journal of Fire Protection Engineering, 4 (3),
1992
Web database
Fire modelling tools (BS7974)
• Level 1 - Deterministic: Calculations or
zone model (CFD model in some cases)
Hazard analysis of specific aspect of design
• Level 2 - Deterministic: Zone or CFD
model
Hazard analysis of overall design
• Level 3 - Probabilistic: Risk model
Risk analysis of the overall design
The „Classic‟ Zone Model
• Single compartment with one fire and one opening
• Hot upper smoke layer
• Cool lower layer
• Fire plume
• Vent flow
Zone modelling concept
• Divide room/building into a small number of
components („zones‟)
hot upper layer, cool lower layer, fire plume, vent outflow etc
assume properties (e.g. temperature) uniform in each zone
• Describe interaction between zones using physics
and experimental observation
mass, momentum and energy conservation
supplement with experimental observation
• Solve the resultant set of equations
predict temperature, flow rate, fire products etc in each zone
Basic zone model components
• Fire source • Vent flows
heat release or pyrolysis rate transfers mass & heat
radiative fraction between rooms and to
basic chemistry outside
heat of combustion doors & windows
ceiling vents
• Cold lower layer
• Heat losses to walls
• Hot upper layer
from hot layer into walls &
• Plume model ceiling
transfers mass & heat
between lower & upper
layers
Advanced submodels
• Fire source • Heat losses to walls
species yields for CO2, composite materials
H2O, CO etc solution of 1-D conduction
multiple fire sources equation
• Ceiling jet • Multiple
• Radiation rooms/compartments
from flaming region vent flow from one room
feeds hot upper layer in the
from hot layer
next room
due to particulates, CO2 &
H2O • Flashover room
transfer to objects and single hot zone
boundaries
Current capabilities
• Today‟s state-of-the-art models may include some
(but not all) of the following:
multiple compartments
combustion chemistry
radiation
species yield & oxygen
ceiling jet depletion
heat conduction into walls under-ventilated conditions
post-flashover capability detector response
roof vents ignition of remote objects
multiple fire sources HVAC
• Coupling to other hazard models
e.g. human egress
Zone models in common use (1)
• ASET-B • ASET
widely used ASET-B, plus elementary
written in 1980s for PCs hazard & detection analysis
very simple
user specifies:
room area & height
fire heat release rate
calculates temperature and
hot layer height in a single
room with closed doors &
windows
available from NIST (free)
Zone models in common use (2)
• The HARVARD family of codes
assumes hot and cold layers in fire compartment
includes treatment for radiation heat transfer
relatively sophisticated chemistry
allows prediction of heating and possible ignition of targets
HARVARD 5 and FIRST are single-room zone models
FIRST is available from NIST (free)
HAZARD 1 is available from NFPA ($250)
includes a human egress model
HARVARD 6 is a multi-room version
Zone models in common use (3)
• The CFAST family of codes
together with ASET-B probably the most widely used
multiple rooms/compartments and fire sources
combustion species predictions
radiation from hot gas layer
FAST/CFAST is available from NIST (free)
uses latest CFAST for the zone modelling
includes some life threat calculations due to heat and toxic gases
includes graphical user interface
The Firewalk Project
coupling of CFAST with a virtual environment/reality suite
Some other zone models
• LAVENT • FISBA
models activation of combustion in upper layer
sprinklers and ceiling vents • FireWind
includes a ceiling jet developed from FireCalc
component/zone
egress model (WayOut)
available from NIST (free)
• Other zone models:
• CCFM
ARGOS
multiple rooms & vents
MRFC
natural or forced ventilation
FLAMME_S
wind & stack effects
FIGARO
available from NIST (free)
CSTBZI
CFD models
• Most general sense: • Fluid flow
all aspects of computer- conservation equations
based simulation of fluid mass
flow phenomena momentum
• More specifically: energy
computer simulations principally heat in fire
solving fluid flow problems
conservation equations other properties
using an established e.g. chemical species
numerical methods for • Discretized space
second-order partial Cells or control volumes
differential equations
Navier-Stokes equations
• A generic equation holds for all the main
conserved properties associated with fluid flow
u j
S
( )
t x j
x j
source terms (e.g.
convection
heat from fire)
time rate of
diffusion
change
satisfied for each conserved property at each control volume
generates a very detailed (and potentially accurate) solution
Basic CFD fire model elements
• Heat sources • Smoke exhaust
fires, HVAC, radiators naturally or mechanically
• Solid boundaries ventilated
arbitrary geometric shapes • External wind
for building elements and • Radiation heat transfer
internal obstacles surface to surface
heat losses to walls etc from „smoke‟ layer
• Ventilation openings
doors, windows etc
any number or configuration
Zone v CFD models
• Zone 1 • CFD
2 2
room(s) divided into a few, geometry divided into lots of
uniform regions (zones) small regions (cells)
one value of temperature, one value of temperature etc
smoke concentration etc in at each cell
each zone valid for complex shapes
valid for simple shapes detailed solution generated
mass, heat, combustion capture variation within large
products transferred regions used in zone models
between zones according to conservation equations
scientific laws less reliance on empiricism
experimental observation
Zone models - strengths
• Capture main features of a room fire
• Run quickly on a PC
many alternative simulations
1
Monte Carlo studies
2 2
sensitivity analysis straightforward
• Relatively easy to lean to use
models now available with graphical user interfaces
but require knowledge of fire safety science/engineering
Zone models - weaknesses
• Usually assume a well-ventilated enclosure fire
not appropriate for complex buildings or very large spaces
some models handle under-ventilation/flashover and larger spaces
• Each zone is relatively large
assumed spatial uniformity may bypass important features
• Significant reliance on empirical coefficients
e.g. plume entrainment formulae
• Physical phenomena 1
loosely coupled 2 2
less general
• Tells us nothing about the flowfield!
Zone models - typical use
• Compartment smoke filling
time-dependent change in upper („smoke‟) layer temperature,
height, species
smoke exhaust capacity calculation 1
available time for egress 2 2
• Smoke spread between rooms
generally through connecting doorways in a multi-room model
• Compartment temperature
average temperature of compartment walls and ceiling
incident fluxes
relevant particularly for post-flashover analysis
single-zone modelling
CFD models - strengths
• Details of fluid flow represented
as accurately as required
resolving details within large regions
• Treat arbitrary geometries (in principle!)
any size or shape
any number and location of compartments & openings
• Physical phenomena
comprehensive treatment
coupled combustion, soot, radiation, turbulence!
empiricism reduced
• Powerful post-processing and analysis
detailed flow patterns, temperature distributions etc
CFD models - weaknesses
• High computational requirements
typically days or weeks
but running codes on PCs is now realistic
• Requires a greater knowledge of fluid dynamics
and numerical procedures
but knowledge of fire safety science/engineering is the most
important pre-requisite for ANY computational fire modelling
• Simulations require care and „nursing‟
fire simulations prone to numerical divergence and error
skill and experience is critical
general purpose
specialist codes
CFD fire model limitations
• Fire source • Turbulence
prescription an ever present issue with
fire burning rate is generally all CFD applications
prescribed by the user approximations needed
• Chemistry mesh resolution
simplified combustion
only CO2 & H2O
single fuel
• Heat conduction into
solids
mesh resolution!
CFD models - typical use
• Smoke movement problems
Can handle large complex spaces
Airport terminals
Atria
Typically 100k-1M cells adopted
Quasi steady simulations
Smoke control system design
size of extract fans
CFD models - combustion
• Combustion models
distributed heat release
c.f. heat source models
combustion products predictions
raditaion model input
soot formation and oxidation
allows accurate modelling of radiation from flaming region
turbulence effects accommodated
RANS codes
LES codes
Turbulent flow - fire
From: Cox G & Chitty R, “Some Stochastic Properties of Fire Plumes”, Fire & Materials, 6, 127-134, 1982
CFD - RANS & LES
• RANS
Reynolds averaged Navier Stokes
“Ensemble averaging” of turbulence motions
Quasi steady solutions
• LES
Large eddy simulation
Explicit representation of turbulent motions at grid scale
Subgrid scale model
Why do we model turbulence?
• In principle flow can be solved directly
Direct Numerical Simulation (DNS)
Requires mesh sufficient to resolve smallest scale
Estimate the number of nodes required (3D):
ReT Nodes Iterations
3
lo 12,300 6.7x106 32,000
N nodes Re lo
9/ 4
l 30,800 4.0x107 47,000
k 61,600 1.5x108 63,000
230,000 2.1x109 114,000
Hence most DNS focuses on low-Re applications!
Reynolds averaging
• Time averaging T
t0
Reynolds (1895): 1 ~ 2
U (t 0 )
T U (t )dt
T
t0
2
4
~ Instantaneous
U
3 Average
Velocity, U
2
1
t=t0
0 T T
Time, t
0
2 5 10 15
2
Reynolds averaged equations
• Decompose velocity: ~
ui U i ui
Ui is a mean component
ui is a fluctuating component
• Substitute into differential equation:
~~
ui u j
U i ui U j u j 0
xi xi
Average:
U i ui U j u j 0 Ui Ui ,Uiui 0
xi
xi
U iU j 2ui u j 0
Reynolds averaged equations
• Momentum – ensemble averaged form:
U k U i P U i
u k ui
xk xi xk xk
• Similar to instantaneous form but with additional
(unknown) terms, the Reynolds stresses:
Normal stresses: ui 2
Shear stresses: ui u j
• Referred to as “RANS”
Reynolds Averaged Navier Stokes
Boussinesq Approximation (1877)
• Defined a modelled “local eddy viscosity” or
“turbulent kinematic viscosity”, relating Reynolds
stress to mean strain rate
• By analogy with viscous stress in laminar flow:
U i U j 2 U k
ij l ij
x xi 3 xk
j
Here the viscous stress related to a mean strain rate
• Hence, Reynolds stresses expressed:
U i U j 2 U k 2
ui u j T ij k ij
. x xi 3 xk 3
j
Viscosity models
• Linear Eddy viscosity models
Algebraic (zero equation) models
Single transport equation models
Two transport equation models
• Industry standard k- model
Buoyancy modifications
Some known weaknesses
Axisymmetric plumes
CFD - RANS & LES
CFD - RANS & LES
CFD models - advanced models
• Sprinkler sprays
principally cooling of hot gases by water droplets
• Structures in fire
thermal response
mechanical response
• Flame spread
real materials
mixed fuels
CFD - fire specific features
• Buoyancy driven flow
Froude number (V2/gD ) ~ 1
• Multiple and complex fuels
Surrogates
• Soot formation
Fuel specific
Affects radiative heat loss
• Range of lengthscales
Kolmogorov (1mm)
Building-scale (100m)
CFD - code choice
• General purpose • Specialist
sophisticated pre- & post- developed by fire scientists
processing limited range of other modelling
wide range of modelling options options
well documented focussed on fire issues
user support generally less advanced pre- &
post-processing
expensive
but maybe simpler to use
parallel processing
validated against fire
Fluent, ANSYS-CFX, Star-CD, experiments
Phoenics
JASMINE, SOFIE,
SMARTFIRE, KOBRA-3D,
Kameleon Fire, FDS
Modelling process
Input building Retain only sufficient detail
geometry
Generate mesh
Mixture of manual and automatic
techniques
Apply boundary
conditions and Ambient conditions, fire sources,
fluid/solid ventilation sources, wall properties
properties etc
CFD solver - need to supervise
Generate solution numerical convergence
Solution OK? - if so extract
Analyse results
required results
Thermal/mechanical analysis
• Advanced/general methods
“based on acknowledged principles and assumptions of the
theory of heat transfer”
consider temperature-dependent material properties
moisture influence “may conservatively be neglected”
validation
on basis of relevant test results
sensitivity analysis on critical parameters
STELA solver
Modelling hierarchy
• Simple tools
Plume entrainments
• Zone models
Smoke filling times
• CFD
Smoke movement in complex spaces
Flame spread?!
• Field-zone network models
Model exploitation
• Advanced models (CFD)
Efficiencies possible, eliminating redundancies
Optimise protection via whole frame analyses
Caution is needed!
Some “non-linear” features
Short-hot versus long-cool
Improve standards of FSE, through training & education
Maintain equivalent or improved levels of safety!
• Conservative assumptions/worst cases?
Can defeat purpose of using model!
Progressively reduce uncertainties
Conclusions
• Fire safety engineering is maturing
Becomes more useful as accuracy improves
Better information on basic properties
Overcome uncertainties in inputs
More extensive sensitivity studies
Improved computational procedures
Leverage of simple model results
Faster hardware
Parallel processors