Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow

Miroslav Kolář, Shunsuke Kobayashi, Yasuhide Uegata, Shigetoshi Yazaki, Michal Beneš

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we summarize our results on the investigation of the Kuramoto-Sivashinsky model, which describes the motion of flame/smoldering interface. We propose the generalization of the model formulated in terms of mathematical theory of moving parametrized curves, and investigate it from numerical and analytical point of view. In the part dedicated to computational studies, we present the verification of our scheme by measurement of experimental order of convergence. In the analytical part of the paper we summarize biffurcation analysis of the model and study of rotational wave solutions.

Original languageEnglish
Title of host publicationNumerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
EditorsFred J. Vermolen, Cornelis Vuik
PublisherSpringer Science and Business Media Deutschland GmbH
Pages615-624
Number of pages10
ISBN (Print)9783030558734
DOIs
Publication statusPublished - 2021
EventEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019 - Egmond aan Zee, Netherlands
Duration: 30 Sep 20194 Oct 2019

Publication series

NameLecture Notes in Computational Science and Engineering
Volume139
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100

Conference

ConferenceEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019
Country/TerritoryNetherlands
CityEgmond aan Zee
Period30/09/194/10/19

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