?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F727%2F&rft.title=Estimating+the+Spread+of+Fire+in+Buildings&rft.creator=Champneys%2C+A.&rft.creator=Fresneda-Portillo%2C+Carlos&rft.creator=Hewitt%2C+Ian&rft.creator=Liu%2C+X.&rft.creator=Hunt%2C+Matthew&rft.creator=Nagapetyan%2C+Tigran&rft.creator=Please%2C+C.P.&rft.creator=Shang%2C+Xiaocheng&rft.creator=Tant%2C+Katherine&rft.creator=Witelski%2C+Tom&rft.creator=Wood%2C+David&rft.creator=Zioo%2C+Piotr&rft.subject=Technology%2FDevices&rft.description=AWE+is+developing+a+general+fire+modelling+capability+at+a+city+scale+and+want+to+upgrade+their+current+capability+by+incorporating+suitable+building-scale+models+into+the+simulation.+The+main+question+that+needs+answering+is%3A+given+an+initial+state+in+which+fires+are+known+to+be+burning+in+a+particular+location+or+region+of+a+building+of+given+dimensions%2C+is+it+possible+to+determine+estimates+for+the+rate+at+which+fire+spreads+throughout+this+building%3F+In+particular%2C+estimates+for+the+temperature+at+the+outer+walls+as+a+function+of+time.%0D%0AThis+report+addresses+the+problem+in+three+ways.+First%2C+the+state+of+the+art+in+the+literature+on+fire+modelling+is+reviewed+and+a+mid-complexity+model+(referred+to+as+%E2%80%9Cthe+Kyoto+model%E2%80%9D)+which+treats+rooms+as+individ-+ual+compartments+is+recommended+for+further+study.+This+is+then+sim-+plified+into+an+ODE+compartmentalised+model+only+those+processes+that+are+believed+to+be+essential.+A+fully+dimensional+version+of+the+model+is+developed+including+estimates+for+all+the+physical+paramaters.+After+nondimensionlisation%2C+the+model+is+simulated+for+a+building+comprising+a+chain+of+rooms+separated+by+fire+doors.+Finally%2C+a+homogenised+reaction-+diffusion+PDE+model+is+developed+in+one+and+two+space+dimensions.+In+this+model+walls+are+treated+as+areas+of+greater+porosity.+Simulation+results+reveal+the+sensitivity+of+the+fire+spread+to+the+internal+layout+of+the+building.+These+final+two+models+have+both+been+implemented+as+a+Matlab+and+C-code+deliverable+respectively.&rft.date=2013&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F727%2F1%2FESGI91-AWE_CaseStudy.pdf&rft.identifier=++Champneys%2C+A.+and+Fresneda-Portillo%2C+Carlos+and+Hewitt%2C+Ian+and+Liu%2C+X.+and+Hunt%2C+Matthew+and+Nagapetyan%2C+Tigran+and+Please%2C+C.P.+and+Shang%2C+Xiaocheng+and+Tant%2C+Katherine+and+Witelski%2C+Tom+and+Wood%2C+David+and+Zioo%2C+Piotr++(2013)+Estimating+the+Spread+of+Fire+in+Buildings.++%5BStudy+Group+Report%5D+++++