A deferred correction coupling strategy for low Mach number flow with complex chemistry

A Nonaka, JB Bell, MS Day, C Gilet… - … Theory and Modelling, 2012 - Taylor & Francis
We present a new thermodynamic coupling strategy for complex reacting flow in a low Mach
number framework. In such flows, the advection, diffusion and reaction processes span a …

[图书][B] Variational methods for the numerical solution of nonlinear elliptic problems

R Glowinski - 2015 - SIAM
During a very large part of his career the author of this book has been interested in the
application of variational methods to problems from science and engineering, particularly …

The computation of laminar flames

MD Smooke - Proceedings of the Combustion Institute, 2013 - Elsevier
Hydrocarbon fuels will remain a major source of energy well into the second half of the 21st
century and, despite dire warnings about their limited supply, known resources have actually …

A simple and efficient adaptive time stepping technique for l ow‐order operator splitting schemes applied to cardiac electrophysiology

D Ogiermann, LE Perotti… - International Journal for …, 2023 - Wiley Online Library
We present a simple, yet efficient adaptive time stepping scheme for cardiac
electrophysiology (EP) simulations based on standard operator splitting techniques. The …

A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations

M Duarte, Z Bonaventura, M Massot, A Bourdon… - Journal of …, 2012 - Elsevier
This paper presents a new resolution strategy for multi-scale streamer discharge simulations
based on a second order time adaptive integration and space adaptive multiresolution. A …

New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time …

M Duarte, M Massot, S Descombes, C Tenaud… - SIAM Journal on …, 2012 - SIAM
We tackle the numerical simulation of reaction-diffusion equations modeling multi-scale
reaction waves. This type of problem induces peculiar difficulties and potentially large …

High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross–Pitaevskii equations

X Antoine, C Besse, V Rispoli - Journal of Computational Physics, 2016 - Elsevier
The aim of this paper is to build and validate some explicit high-order schemes, both in
space and time, for simulating the dynamics of systems of nonlinear Schrödinger/Gross …

Realizable second-order finite-volume schemes for the advection of moment sets of the particle size distribution

F Laurent, TT Nguyen - Journal of Computational Physics, 2017 - Elsevier
The accurate description and robust simulation at relatively low cost of a size polydisperse
population of fine particles in a carrier fluid is still a major challenge for many applications …

Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames

S Descombes, M Duarte, T Dumont, F Laurent… - SIAM Journal on …, 2014 - SIAM
In this paper we mathematically characterize through a Lie formalism the local errors
induced by operator splitting when solving nonlinear reaction-diffusion equations, especially …

Time–space adaptive numerical methods for the simulation of combustion fronts

M Duarte, S Descombes, C Tenaud, S Candel… - Combustion and …, 2013 - Elsevier
This paper presents a new computational strategy for the simulation of combustion fronts
based on adaptive time operator splitting and spatial multiresolution. High-order and …