An efficient numerical model for the simulation of coupled heat, air, and moisture transfer in porous media

Autor: Julien Berger, Denys Dutykh, Nathan Mendes, Laurent Gosse

Publikováno v: Engineering Reports, Vol 2, Iss 2, Pp n/a-n/a (2020)

Abstract This article proposes an efficient explicit numerical model with a relaxed stability condition for the simulation of heat, air, and moisture transfer in porous material. Three innovative approaches are combined to solve the system of two dif

Externí odkaz: https://doaj.org/article/ff6c1091de51452c9f2c060449cd7f77

A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer

Autor: Laurent Gosse, Nicolas Vauchelet

Publikováno v: SIAM journal on numerical analysis
58 (2020): 1092–1116. doi:10.1137/19M1239829
info:cnr-pdr/source/autori:Gosse L.; Vauchelet N./titolo:A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer/doi:10.1137%2F19M1239829/rivista:SIAM journal on numerical analysis (Print)/anno:2020/pagina_da:1092/pagina_a:1116/intervallo_pagine:1092–1116/volume:58

For a four-stream approximation of the kinetic model of radiative transfer with isotropic scattering, a numerical scheme endowed with both truly 2D well-balanced and diffusive asymptotic-preserving properties is derived, in the same spirit as what wa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::944b5a04b7166f2fac02fb9ccf3dae1c
https://doi.org/10.1137/19m1239829

Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis

Autor: Gabriella Bretti, Laurent Gosse

Publikováno v: SN Partial Differential Equations and Applications 31 (2021): 1–34. doi:10.1007/s42985-021-00087-7
info:cnr-pdr/source/autori:Gabriella Bretti; Laurent Gosse/titolo:Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis/doi:10.1007%2Fs42985-021-00087-7/rivista:SN Partial Differential Equations and Applications/anno:2021/pagina_da:1/pagina_a:34/intervallo_pagine:1–34/volume:31

A $$(2+2)$$ -dimensional kinetic equation, directly inspired by the run-and-tumble modeling of chemotaxis dynamics is studied so as to derive a both “2D well-balanced” and “asymptotic-preserving” numerical approximation. To this end, exact st

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75b6867a85ae105181d93da2680fd8f4
https://doi.org/10.1007/s42985-021-00087-7

Reprint of: Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion

Autor: Laurent Gosse

Publikováno v: Computers & Fluids. 169:365-372

A general methodology, which consists in deriving two-dimensional finite-difference schemes which involve numerical fluxes based on Dirichlet-to-Neumann maps (or Steklov–Poincare operators), is first recalled. Then, it is applied to several types o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::293b4b932425e8c74cd6bf553fc297da
https://doi.org/10.1016/j.compfluid.2018.03.063

ℒ-Splines and Viscosity Limits for Well-Balanced Schemes Acting on Linear Parabolic Equations

Autor: Laurent Gosse

Publikováno v: Acta applicandae mathematicae (2018). doi:10.1007/s10440-017-0122-5
info:cnr-pdr/source/autori:Laurent Gosse/titolo:L-Splines and Viscosity Limits forWell-Balanced Schemes Acting on Linear Parabolic Equations/doi:10.1007%2Fs10440-017-0122-5/rivista:Acta applicandae mathematicae/anno:2018/pagina_da:/pagina_a:/intervallo_pagine:/volume

Well-balanced schemes, nowadays mostly developed for both hyperbolic and kinetic equations, are extended in order to handle linear parabolic equations, too. By considering the variational solution of the resulting stationary boundary-value problem, a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e9693fd6c68e3f2b17ef8f93deeeaf2
https://doi.org/10.1007/s10440-017-0122-5