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Convergence properties of detonation simulations
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Stockholm University, Faculty of Science, Department of Astronomy. University of Colorado, USA.
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Number of Authors: 62019 (English)In: Article in journal (Refereed) Epub ahead of print
Abstract [en]

We present a high-resolution convergence study of detonation initiated by a temperature gradient in a stoichiometric hydrogen-oxygen mixture using the PENCIL CODE and compare with a code that employs a fifth order weighted essentially non-oscillating (WENO) scheme. With Mach numbers reaching 10-30, a certain amount of shock viscosity is needed in the PENCIL CODE to remove or reduce numerical pressure oscillations on the grid scale at the position of the shock. Detonation is found to occur for intermediate values of the shock viscosity parameter. At fixed values of this parameter, the numerical error associated with those small wiggles in the pressure profile is found to decrease with decreasing mesh width like down to. With the WENO scheme, solutions are smooth at, but no detonation is obtained for. This is argued to be an artifact of a decoupling between pressure and reaction fronts.

Place, publisher, year, edition, pages
TAYLOR & FRANCIS LTD , 2019.
Keywords [en]
Combustion, numerical methods, detonation, shock waves, chemical reaction
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-175055DOI: 10.1080/03091929.2019.1668382ISI: 000487602800001OAI: oai:DiVA.org:su-175055DiVA, id: diva2:1365811
Available from: 2019-10-25 Created: 2019-10-25 Last updated: 2019-10-25Bibliographically approved

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Brandenburg, AxelLiberman, Mikhael A.
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Nordic Institute for Theoretical Physics (Nordita)Department of Astronomy
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