Adaptive Multiresolution Computations Applied to Detonations
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Abstract
A space-time adaptive method is presented for the reactive Euler equations describing chemically reacting gas flow where a two species model is used for the chemistry. The governing equations are discretized with a finite volume method and dynamic space adaptivity is introduced using multiresolution analysis. A time splitting method of Strang is applied to be able to consider stiff problems while keeping the method explicit. For time adaptivity an improved Runge–Kutta–Fehlberg scheme is used. Applications deal with detonation problems in one and two space dimensions. A comparison of the adaptive scheme with reference computations on a regular grid allows to assess the accuracy and the computational efficiency, in terms of CPU time and memory requirements.
Acknowledgement
This article is dedicated to Professor Henning Bockhorn on the occasion of his 70th birthday, thanking him cordially for the great time we had in his group, first in Kaiserslautern and then in Karlsruhe. We also thank Margarete Domingues, Ralf Deiterding and Sonia Gomes for constructive discussions on the topic and fruitful interactions. KS thankfully acknowledges financial support from the ANR project SiCoMHD (ANR-Blanc 2011-045) and OR from the ANR project MAPIE (ANR-13-MONU-0002).
©2015 Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Preface
- Congratulations to Henning Bockhorn
- Nonpremixed and Premixed Combustion of Mixtures of Producer Gas and Methane
- Hierarchical Structure of Slow Manifolds of Reacting Flows
- Analysis of Structure, Extinction and Broadening in Oxygen-Enhanced Non-Premixed Flames
- Decomposition Studies of Isopropanol in a Variable Pressure Flow Reactor
- Effect of the Precessing Vortex Core on Primary Atomization
- Adaptive Multiresolution Computations Applied to Detonations
- Partial Oxidation of Methane at Elevated Pressures and Effects of Propene and Ethane as Additive: Experiment and Simulation
- Luminescence Properties of the Thermographic Phosphors Dy3+:YAG and Tm3+:YAG for the Application in High Temperature Systems
- Thermochemical Properties of Hydroxycyclohexadienyl Peroxy Isomers from Reaction of O2 with the Benzene-OH adduct
Articles in the same Issue
- Frontmatter
- Preface
- Congratulations to Henning Bockhorn
- Nonpremixed and Premixed Combustion of Mixtures of Producer Gas and Methane
- Hierarchical Structure of Slow Manifolds of Reacting Flows
- Analysis of Structure, Extinction and Broadening in Oxygen-Enhanced Non-Premixed Flames
- Decomposition Studies of Isopropanol in a Variable Pressure Flow Reactor
- Effect of the Precessing Vortex Core on Primary Atomization
- Adaptive Multiresolution Computations Applied to Detonations
- Partial Oxidation of Methane at Elevated Pressures and Effects of Propene and Ethane as Additive: Experiment and Simulation
- Luminescence Properties of the Thermographic Phosphors Dy3+:YAG and Tm3+:YAG for the Application in High Temperature Systems
- Thermochemical Properties of Hydroxycyclohexadienyl Peroxy Isomers from Reaction of O2 with the Benzene-OH adduct
