|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Solid propellant combustion in the low Mach one-dimensional approximation: from an index-one differential-algebraic formulation to high-fidelity simulations through high-order time integration with adaptive time-stepping | | Laurent François
; Joël Dupays
; Dmitry Davidenko
; Marc Massot
; | | Date: |
6 Jul 2020 | | Abstract: | An unsteady one-dimensional model of solid propellant combustion, based on a
low-Mach assumption, is presented and semi-discretised in space via a finite
volume scheme. The mathematical nature of this system is shown to be
differential-algebraic of index one. A high-fidelity numerical strategy with
stiffly accurate singly diagonally implicit Runge-Kutta methods is proposed,
and time adaptation is made possible using embedded schemes. High-order is
shown to be reached, while handling the constraints properly, both at the
interface and for the mass conservation in the gaseous flow field. Three
challenging test-cases are thoroughly investigated: ignition transients, growth
of combustion instabilities through a Hopf bifurcation leading to a limit cycle
periodic solution and the unsteady response of the system when detailed
gas-phase kinetics are included in the model. The method exhibits high
efficiency for all cases in terms of both computational time and accuracy
compared to first and second-order schemes traditionally used in the combustion
literature, where the time step adaptation is CFL-or variation-based. | | Source: | arXiv, 2007.2538 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER