{"id":{"repo_id":"freiburg-diss","oai_identifier":"oai:freidok.uni-freiburg.de:292"},"canonical_url":"https://search.dev.ndltd.org/etd/freiburg-diss/oai:freidok.uni-freiburg.de:292","repository":{"repo_id":"freiburg-diss","name":"University of Freiburg","base_url":"https://freidok.uni-freiburg.de/oai/oai2.php"},"display":{"title":"Dynamic mesh adaption for supersonic combustion waves modeled with detailed reaction mechanisms","abstract":"Dynamic mesh adaption has emerged as a powerful tool to reduce the
numerical cost of CFD problems. We use this technique to resolve the
disparate physical scales of reactive flow problems.
In our numerical scheme, we combine the dynamic mesh adaption with
an explicit as well as implicit upwind finite volume scheme,
time scale splitting, adaptive local time stepping, and source term
integration methods, to solve stiff systems of ODEs.
Thus we obtain the possibility to simulate on a workstation with
moderate numerical cost demanding, time-dependent
problems in two space dimensions modeled with a detailed chemical reaction
mechanism.
To validate the whole numerical scheme, test cases with a single irreversible
reaction (reactive Euler equations) and hydrogen-oxygen combustion
(8 species plus diluent with detailed reaction mechanism) are simulated.
The results are compared with ZND solutions, other numerical simulations,
and experimental data concerning ignition time, velocity of the reaction
front, detonation cell size, etc. and show good accordance.","abstract_html":"Dynamic mesh adaption has emerged as a powerful tool to reduce the <br>numerical cost of CFD problems. We use this technique to resolve the <br>disparate physical scales of reactive flow problems. <br>In our numerical scheme, we combine the dynamic mesh adaption with <br>an explicit as well as implicit upwind finite volume scheme, <br>time scale splitting, adaptive local time stepping, and source term <br>integration methods, to solve stiff systems of ODEs. <br>Thus we obtain the possibility to simulate on a workstation with <br>moderate numerical cost demanding, time-dependent <br>problems in two space dimensions modeled with a detailed chemical reaction <br>mechanism. <br>To validate the whole numerical scheme, test cases with a single irreversible <br>reaction (reactive Euler equations) and hydrogen-oxygen combustion <br>(8 species plus diluent with detailed reaction mechanism) are simulated. <br>The results are compared with ZND solutions, other numerical simulations, <br>and experimental data concerning ignition time, velocity of the reaction <br>front, detonation cell size, etc. and show good accordance.","abstract_has_math":false,"creators":["Geßner, Thomas"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Kröner, Dietmar"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":null,"date_issued":"","date_published":null,"updated_at":"2026-07-24T02:21:35Z","subjects":["Steifes Differentialgleichungssystem","unstrukturiertes Gitter","Splittingverfahren","Stiff system of equations","finite volume scheme","unstructured mesh","time scale splitting"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://freidok.uni-freiburg.de/data/292","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kröner, Dietmar"]},{"key":"dc:creator","label":"Author","values":["Geßner, Thomas"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:type","label":"Dc Type","values":["DoctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Steifes Differentialgleichungssystem","unstrukturiertes Gitter","Splittingverfahren","Stiff system of equations","finite volume scheme","unstructured mesh","time scale splitting"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Dynamic mesh adaption has emerged as a powerful tool to reduce the
numerical cost of CFD problems. We use this technique to resolve the
disparate physical scales of reactive flow problems.
In our numerical scheme, we combine the dynamic mesh adaption with
an explicit as well as implicit upwind finite volume scheme,
time scale splitting, adaptive local time stepping, and source term
integration methods, to solve stiff systems of ODEs.
Thus we obtain the possibility to simulate on a workstation with
moderate numerical cost demanding, time-dependent
problems in two space dimensions modeled with a detailed chemical reaction
mechanism.
To validate the whole numerical scheme, test cases with a single irreversible
reaction (reactive Euler equations) and hydrogen-oxygen combustion
(8 species plus diluent with detailed reaction mechanism) are simulated.
The results are compared with ZND solutions, other numerical simulations,
and experimental data concerning ignition time, velocity of the reaction
front, detonation cell size, etc. and show good accordance."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf","application/x-zip-compressed"]},{"key":"dc:title","label":"Title","values":["Dynamic mesh adaption for supersonic combustion waves modeled with detailed reaction mechanisms","Dynamische Gitteradaption für reaktive Überschallströmungen modelliert mit detaillierten Reaktionsmechanismen"]}]}],"canonical_facts":{"dc:contributor":["Kröner, Dietmar"],"dc:creator":["Geßner, Thomas"],"dc:description.abstract":["Dynamic mesh adaption has emerged as a powerful tool to reduce the
numerical cost of CFD problems. We use this technique to resolve the
disparate physical scales of reactive flow problems.
In our numerical scheme, we combine the dynamic mesh adaption with
an explicit as well as implicit upwind finite volume scheme,
time scale splitting, adaptive local time stepping, and source term
integration methods, to solve stiff systems of ODEs.
Thus we obtain the possibility to simulate on a workstation with
moderate numerical cost demanding, time-dependent
problems in two space dimensions modeled with a detailed chemical reaction
mechanism.
To validate the whole numerical scheme, test cases with a single irreversible
reaction (reactive Euler equations) and hydrogen-oxygen combustion
(8 species plus diluent with detailed reaction mechanism) are simulated.
The results are compared with ZND solutions, other numerical simulations,
and experimental data concerning ignition time, velocity of the reaction
front, detonation cell size, etc. and show good accordance."],"dc:format.medium":["application/pdf","application/x-zip-compressed"],"dc:subject":["Steifes Differentialgleichungssystem","unstrukturiertes Gitter","Splittingverfahren","Stiff system of equations","finite volume scheme","unstructured mesh","time scale splitting"],"dc:title":["Dynamic mesh adaption for supersonic combustion waves modeled with detailed reaction mechanisms","Dynamische Gitteradaption für reaktive Überschallströmungen modelliert mit detaillierten Reaktionsmechanismen"],"dc:type":["DoctoralThesis"]},"updated_at":"2026-07-24T02:21:35Z"}