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On Spurious Numerics in Solving Reactive EquationsThe objective of this study is to gain a deeper understanding of the behavior of high order shock-capturing schemes for problems with stiff source terms and discontinuities and on corresponding numerical prediction strategies. The studies by Yee et al. (2012) and Wang et al. (2012) focus only on solving the reactive system by the fractional step method using the Strang splitting (Strang 1968). It is a common practice by developers in computational physics and engineering simulations to include a cut off safeguard if densities are outside the permissible range. Here we compare the spurious behavior of the same schemes by solving the fully coupled reactive system without the Strang splitting vs. using the Strang splitting. Comparison between the two procedures and the effects of a cut off safeguard is the focus the present study. The comparison of the performance of these schemes is largely based on the degree to which each method captures the correct location of the reaction front for coarse grids. Here "coarse grids" means standard mesh density requirement for accurate simulation of typical non-reacting flows of similar problem setup. It is remarked that, in order to resolve the sharp reaction front, local refinement beyond standard mesh density is still needed.
Document ID
20140006950
Acquisition Source
Ames Research Center
Document Type
Conference Paper
Authors
Kotov, D. V (Stanford Univ. Stanford, CA, United States)
Yee, H. C. (NASA Ames Research Center Moffett Field, CA United States)
Wang, W. (California State Univ. at Monterey Bay Seaside, CA, United States)
Shu, C.-W. (Brown Univ. Providence, RI, United States)
Date Acquired
June 9, 2014
Publication Date
April 8, 2013
Subject Category
Numerical Analysis
Report/Patent Number
ARC-E-DAA-TN8726
Meeting Information
Meeting: Numerical Combustion Conference
Location: San Antionio, TX
Country: United States
Start Date: April 8, 2013
End Date: April 10, 2013
Funding Number(s)
CONTRACT_GRANT: NNX12AJ62A
CONTRACT_GRANT: NNA07CN81A
CONTRACT_GRANT: DE-AI02-06ER25796
Distribution Limits
Public
Copyright
Public Use Permitted.
Keywords
Numerics
Spurious
Equations

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