Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Arthur Guittet"'
Publikováno v:
International Journal of Differential Equations, Vol 2018 (2018)
We analyze the accuracy of two numerical methods for the variable coefficient Poisson equation with discontinuities at an irregular interface. Solving the Poisson equation with discontinuities at an irregular interface is an essential part of solving
Externí odkaz:
https://doaj.org/article/a32c6515826a49059503d47b60e059ed
Autor:
Joshua P. Schneider, Arthur Guittet, Frederic Gibou, Christian Ratsch, Dionisios Margetis, Daniil Bochkov, Pouria Mistani
Publikováno v:
Journal of Computational Physics. 361:150-166
We introduce an approach for simulating epitaxial growth by use of an island dynamics model on a forest of quadtree grids, and in a parallel environment. To this end, we use a parallel framework introduced in the context of the level-set method. This
Autor:
Charles Cleret de Langavant, Frederic Gibou, Maxime Theillard, Arthur Guittet, Fernando Temprano-Coleto
Publikováno v:
Journal of Computational Physics. 348:271-297
We present an approach to simulate the diffusion, advection and adsorption–desorption of a material quantity defined on an interface in two and three spatial dimensions. We use a level-set approach to capture the interface motion and a Quad/Octree
Publikováno v:
Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2019, ⟨10.1016/j.jcp.2018.12.009⟩
Journal of Computational Physics, 2019, ⟨10.1016/j.jcp.2018.12.009⟩
Journal of Computational Physics, Elsevier, 2019, ⟨10.1016/j.jcp.2018.12.009⟩
Journal of Computational Physics, 2019, ⟨10.1016/j.jcp.2018.12.009⟩
We introduce a numerical framework that enables unprecedented direct numerical studies of the electropermeabilization effects of a cell aggregate at the meso-scale. Our simulations qualitatively replicate the shadowing effect observed in experiments
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a465e31ccf52a8322838ac74a7dd4ce9
https://hal.inria.fr/hal-01779598
https://hal.inria.fr/hal-01779598
Publikováno v:
Journal of Computational Physics. 322:345-364
We present scalable algorithms for the level-set method on dynamic, adaptive Quadtree and Octree Cartesian grids. The algorithms are fully parallelized and implemented using the MPI standard and the open-source p4est library. We solve the level set e
Publikováno v:
Journal of Computational Physics. 298:747-765
We introduce a simple method, dubbed the Voronoi Interface Method, to solve Elliptic problems with discontinuities across the interface of irregular domains. This method produces a linear system that is symmetric positive definite with only its right
Publikováno v:
Journal of Computational Physics. 292:215-238
We present a numerical method for solving the incompressible Navier-Stokes equations on non-graded quadtree and octree meshes and arbitrary geometries. The viscosity is treated implicitly through a finite volume approach based on Voronoi partitions,
Publikováno v:
Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2017, 332, pp.143-159. ⟨10.1016/j.jcp.2016.11.048⟩
Journal of Computational Physics, 2017, 332, pp.143-159. ⟨10.1016/j.jcp.2016.11.048⟩
Journal of Computational Physics, Elsevier, 2017, 332, pp.143-159. ⟨10.1016/j.jcp.2016.11.048⟩
Journal of Computational Physics, 2017, 332, pp.143-159. ⟨10.1016/j.jcp.2016.11.048⟩
International audience; We present a Voronoi Interface approach to the study of cell electropermeabilization. We consider the nonlinear electropermeabilization model of Poignard et al. [20], which takes into account the jump in the voltage potential
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7947268da57f4b5d9c38dd7a4607a1f2
https://hal.inria.fr/hal-01483521/file/Revision_JCP_11_21_2016.pdf
https://hal.inria.fr/hal-01483521/file/Revision_JCP_11_21_2016.pdf
Publikováno v:
Journal of Computational Physics. 231:2528-2536
We present a local level-set method based on the hash table data structure, which allows the storage of only a band of grid points adjacent to the interface while providing an O(1) access to the data. We discuss the details of the construction of the
Autor:
Paolo Luzzatto-Fegiz, Frederic Gibou, Arthur Guittet, Tobin Isaac, Julien R. Landel, Carsten Burstedde, François J. Peaudecerf, Fernando Temprano-Coleto, Raphael Egan
Publikováno v:
Journal of Computational Physics, 428
Journal of Computational Physics
Journal of Computational Physics
We introduce an approach for solving the incompressible Navier-Stokes equations on a forest of Octree grids in a parallel environment. The methodology uses the p4est library of Burstedde et al. (2011) [15] for the construction and the handling of for