%0 Journal Article
%3 lopes_local.pdf
%4 sid.inpe.br/mtc-m21c/2019/02.14.12.45
%8 Apr.
%9 journal article
%@issn 0021-9991
%A Lopes, Müller Moreira,
%A Domingues, Margarete Oliveira,
%A Schneider, Kai,
%A Mendes, Odim,
%@secondarytype PRE PI
%B Journal of Computational Physics
%D 2019
%K Multiresolution analysis, Finite volume, Local time-stepping, Runge–Kutta.
%@archivingpolicy denypublisher denyfinaldraft24
%P 291-318
%@secondarymark A1_MATEMÁTICA_/_PROBABILIDADE_E_ESTATÍSTICA A1_INTERDISCIPLINAR A1_ENGENHARIAS_III A1_CIÊNCIA_DA_COMPUTAÇÃO A2_ENGENHARIAS_IV A2_ENGENHARIAS_I A2_ASTRONOMIA_/_FÍSICA B1_MATERIAIS B2_ENSINO
%T Local time-stepping for adaptive multiresolution using natural extension of Runge–Kutta methods
%V 382
%X A spacetime fully adaptive multiresolution method for evolutionary non-linear partial differential equations is presented introducing an improved local time-stepping method. The space discretisation is based on classical finite volumes, endowed with cell average multiresolution analysis for triggering the dynamical grid adaptation. The explicit time scheme features a natural extension of RungeKutta methods which allow local time-stepping while guaranteeing accuracy. The use of a compact RungeKutta formulation permits further memory reduction. The precision and computational efficiency of the scheme regarding CPU time and memory compression are assessed for problems in one, two and three space dimensions. As application Burgers equation, reactiondiffusion equations and the compressible Euler equations are considered. The numerical results illustrate the efficiency and superiority of the proposed local time-stepping method with respect to the reference computations.
%@area COMP
%@electronicmailaddress muller.lopes@inpe.br
%@electronicmailaddress margarete.domingues@inpe.br
%@electronicmailaddress kai.schneider@univ-amu.fr
%@electronicmailaddress odim.mendes@inpe.br
%@documentstage not transferred
%@group CAP-COMP-SESPG-INPE-MCTIC-GOV-BR
%@group LABAC-COCTE-INPE-MCTIC-GOV-BR
%@group
%@group DIDGE-CGCEA-INPE-MCTIC-GOV-BR
%@dissemination WEBSCI; PORTALCAPES.
%@usergroup simone
%@nexthigherunit 8JMKD3MGPCW/3ESGTTP 8JMKD3MGPCW/3EU29DP 8JMKD3MGPCW/3F2PHGS
%@resumeid
%@resumeid 8JMKD3MGP5W/3C9JHQP
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Institut de Mathématiques de Marseille (I2M), Aix-Marseille Université
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@versiontype publisher
%@holdercode {isadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S}
%@doi 10.1016/j.jcp.2018.10.052
%2 sid.inpe.br/mtc-m21c/2019/02.14.12.45.33