Travelling wave mathematical analysis and efficient numerical resolution for a one-dimensional model of solid propellant combustion

12/26/2019
by   Laurent Francois, et al.
0

We investigate a model of solid propellant combustion involving surface pyrolysis coupled to finite activation energy gas phase combustion. Existence and uniqueness of a travelling wave solution are established by extending dynamical system tools classically used for premixed flames, dealing with the additional difficulty arising from the surface regression and pyrolysis. An efficient shooting method allows to solve the problem in phase space without resorting to space discretisation nor fixed-point Newton iterations. The results are compared to solutions from a CFD code developed at ONERA, assessing the efficiency and potential of the method, and the impact of the modelling assumptions is assessed through parametric studies.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

02/13/2021

A consistent and conservative Phase-Field model for thermo-gas-liquid-solid flows including liquid-solid phase change

In the present study, a consistent and conservative Phase-Field model is...
03/06/2020

Effective Response of Heterogeneous Materials using the Recursive Projection Method

This paper applies the Recursive Projection Method (RPM) to the problem ...
12/21/2020

An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions

We propose an accurate and energy-stable parametric finite element metho...
08/05/2019

Monodisperse gas-solid mixtures with intense interphase interaction in two-fluid Smoothed Particle Hydrodynamics

Simulations of gas-solid mixtures are used in many scientific and indust...
01/31/2020

A mathematical and numerical framework for gradient meta-surfaces built upon periodically repeating arrays of Helmholtz resonators

In this paper a mathematical model is given for the scattering of an inc...
11/01/2021

Fast Newton Iterative Method for Local Steric Poisson–Boltzmann Theories in Biomolecular Solvation

This work proposes a fast iterative method for local steric Poisson–Bolt...
06/26/2021

A new mathematical model for dispersion of Rayleigh wave and a machine learning based inversion solver

In this work, by introducing the seismic impedance tensor we propose a n...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.