Journal article
EFFICIENT COMPUTATION OF COORDINATE-FREE MODELS OF FLAME FRONTS
The ANZIAM journal, v 63(1), pp 58-69
01 Jan 2021
Abstract
We present an efficient, accurate computational method for a coordinate-free model of flame front propagation of Frankel and Sivashinsky. This model allows for overturned flames fronts, in contrast to weakly nonlinear models such as the Kuramoto-Sivashinsky equation. The numerical procedure adapts the method of Hou, Lowengrub and Shelley, derived for vortex sheets, to this model. The result is a nonstiff, highly accurate solver which can handle fully nonlinear, overturned interfaces, with similar computational expense to methods for weakly nonlinear models. We apply this solver both to simulate overturned flame fronts and to compare the accuracy of Kuramoto-Sivashinsky and coordinate-free models in the appropriate limit.
Metrics
Details
- Title
- EFFICIENT COMPUTATION OF COORDINATE-FREE MODELS OF FLAME FRONTS
- Creators
- B. F. Akers - Air Force Institute of TechnologyD. M. Ambrose - Drexel University
- Publication Details
- The ANZIAM journal, v 63(1), pp 58-69
- Publisher
- Cambridge Univ Press
- Number of pages
- 12
- Grant note
- DMS-1907684 / National Science Foundation; National Science Foundation (NSF) Air Force Office of Scientific Research though the Computational Mathematics Program; United States Department of Defense; Air Force Office of Scientific Research (AFOSR)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000668288600004
- Scopus ID
- 2-s2.0-85105133698
- Other Identifier
- 991019168217304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied