Dynamic mesh adaption for supersonic combustion waves modeled with detailed reaction mechanisms [Elektronische Ressource] / Thomas Geßner

Dynamic Mesh AdaptionforSupersonic Combustion Wavesmodeled withDetailed Reaction MechanismsThomas Ge nerDoctoral DissertationDissertation zur Erlangung des Doktorgrades der Mathematischen Fakultatder Albert{Ludwigs{Universitat Freiburg im BreisgauMathematische Fakultat, Albert{Ludwigs{Universitat Freiburg im Breisgau April 2001Dekan: Prof. Dr. W. SoergelReferenten: Prof. Dr. D. KronerProf. Dr. G. BaderDatum der Promotion: 3. September 2001AbstractDynamic mesh adaption has emerged as a powerful tool to reduce the numericalcost of CFD problems. We use this technique to resolve the disparate physical scalesof reactive ow In our numerical scheme, we combine the dynamic meshadaption with an explicit as well as implicit upwind nite volume scheme, time scalesplitting, adaptive local time stepping, and source term integration methods, to solvesti systems of ODEs. Thus we obtain the possibility to simulate on a workstationwith moderate numerical cost demanding, time{dependent problems in two spacedimensions modeled with a detailed chemical reaction mechanism.To validate the whole numerical scheme, test cases with a single irreversiblereaction (reactive Euler equations) and hydrogen{oxygen combustion (8 species plusdiluent with detailed reaction mechanism) are simulated. The results are comparedwith ZND solutions, other numerical simulations, and experimental data concerningignition time, velocity of the reaction front, detonation cell size, etc.