Výsledky vyhledávání - "Erwan Deriaz"

ADAPTIVE WAVELET SCHEMES AND FINITE VOLUMES

Autor: Xavier Lhebrard, Erwan Deriaz, Mathieu Rigal, Daniele Del Sarto

Publikováno v: ESAIM: Proceedings and Surveys, Vol 70, Pp 107-123 (2021)
ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, EDP Sciences, 2021, 70, pp.107-123. ⟨10.1051/proc/202107007⟩

We consider a procedure for combining high order finite volumes and tree-based non-uniform grids. Especially, we focus on efficient algorithms for third order multidimensional volume interpolation and communication between levels of refinement. In th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1d35b13fde6c2c66977ce3854c38503
https://hal.science/hal-02504922

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Non-linear CFL Conditions Issued from the von Neumann Stability Analysis for the Transport Equation

Autor: Erwan Deriaz, Pierre Haldenwang

Publikováno v: Journal of Scientific Computing
Journal of Scientific Computing, Springer Verlag, 2020, 85 (1), pp.5. ⟨10.1007/s10915-020-01302-0⟩
Journal of Scientific Computing, 2020, 85 (1), pp.5. ⟨10.1007/s10915-020-01302-0⟩
Journal of Scientific Computing, Springer Verlag, 2020, 85 (1), ⟨10.1007/s10915-020-01302-0⟩

This paper presents a theory of the possible non-linear stability conditions encountered in the simulation of convection dominated problems. Its main objective is to study and justify original CFL-like stability conditions thanks to the von Neumann s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe7af345cdcfe73a9c8796d51dd2091f
https://hal.archives-ouvertes.fr/hal-03231866/file/nonlinearcfl.pdf

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Six-Dimensional Adaptive Simulation of the Vlasov Equations Using a Hierarchical Basis

Autor: Erwan Deriaz, Sébastien Peirani

Publikováno v: Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2018, 16 (2), pp.583-614. ⟨10.1137/16M1108649⟩

International audience; We present an original adaptive scheme using a dynamically refined grid for the simulation of the six-dimensional Vlasov-Poisson equations. The distribution function is represented in a hierarchical basis retaining only the mo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b07f17a07aa061ba127d7b3c37a91cda
https://doi.org/10.1137/16m1108649

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A multigrid AMR algorithm for the study of magnetic reconnection

Autor: D. del Sarto, Erwan Deriaz

Publikováno v: Journal of Computational Physics
Journal of Computational Physics, Elsevier, 2017, 351, pp.511-533. ⟨10.1016/j.jcp.2017.08.046⟩

International audience; We address the study of reconnecting instabilities in magnetized plasmas, a highly multiscale process, using an innovative adaptive scheme based on Adaptive Mesh Refinement (AMR) and Multigrid Algorithms. The reduced model we

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34bc3f545a1142a42e99e21c5281fca7
https://doi.org/10.1016/j.jcp.2017.08.046

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Schémas aux différences finies compacts pour l'équation de Poisson en dimension quelconque

Autor: Erwan Deriaz

Publikováno v: BIT Numerical Mathematics
BIT Numerical Mathematics, Springer Verlag, 2019, ⟨10.1007/s10543-019-00772-5⟩

Relying on a formulation using the symmetric polynomials algebra we compute the coefficients of compact finite difference schemes which solvethe Poisson equation at arbitrary order of accuracy on a uniform Cartesian grid in arbitrary dimension. There

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f075f83edf16cfa2364c3ff9c34ca629
https://hal.archives-ouvertes.fr/hal-01998201/file/ColzEng_1.pdf

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Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations

Autor: Nicolas Besse, Eric Madaule, Erwan Deriaz

Publikováno v: Journal of Computational Physics

We develop adaptive numerical schemes for the Vlasov equation by combining discontinuous Galerkin discretisation, multiresolution analysis and semi-Lagrangian time integration. We implement a tree based structure in order to achieve adaptivity. Both

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e46efeeda63daa35f7f84ad07bce0618
https://hal.archives-ouvertes.fr/hal-01366726

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Extension of centered hydrodynamical schemes to unstructured deforming conical meshes : the case of circles

Autor: Philippe Hoch, Erwan Deriaz, Aude Bernard-Champmartin, Michael Schaefer, Gerald Samba

Publikováno v: ESAIM: Proceedings and Surveys, Vol 38, Pp 135-162 (2013)

In a prior work [CEMRACS10], a curvilinear bi-dimensional finite volume extension of Lagrangian centered schemes GLACE [GLACE] on unstructured cells, whose edges are parameterized by rational quadratic Bézier curves was proposed and we showed numeri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc93ef812e8bfd350b92d14dbf8c0b40
https://doi.org/10.1051/proc/201238008

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Stabilité sous condition CFL non linéaire

Autor: Erwan Deriaz, Dmitry Kolomenskiy

Publikováno v: ESAIM: Proceedings and Surveys, Vol 35, Pp 114-121 (2012)

We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥un + 1∥L2 ≤ (1 + C Δt) ∥un∥L2 drives to the stability condition Δt ≤ CΔxα with hbox{$alpha=frac{p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::747d3eac1e16617f7d374308a1691684
https://doi.org/10.1051/proc/201235007

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Craya decomposition using compactly supported biorthogonal wavelets

Autor: Marie Farge, Erwan Deriaz, Kai Schneider

Publikováno v: Applied and Computational Harmonic Analysis
Applied and Computational Harmonic Analysis, 2010, 28 (3), pp.267-284. ⟨10.1016/j.acha.2010.02.006⟩
Applied and Computational Harmonic Analysis, Elsevier, 2010, 28 (3), pp.267-284. ⟨10.1016/j.acha.2010.02.006⟩

Special Issue on Continuous Wavelet Transform in Memory of Jean Morlet, Part II; International audience; We present a new local Craya--Herring decomposition of three-dimensional vector fields using compactly supported biorthogonal wavelets. Therewith

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6ffe1f8dd180a8309e20410a73eeb3b
https://doi.org/10.1016/j.acha.2010.02.006

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Direct Numerical Simulation of Turbulence Using Divergence-Free Wavelets

Autor: Valérie Perrier, Erwan Deriaz

International audience; We present a numerical method based on divergence-free wavelets to solve the incompressible Navier-Stokes equations. We introduce a new scheme which uses anisotropic (or generalized) divergence-free wavelets and which needs on

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d8a88db7cc735b2a8a4d7ca2dd4cd0d
https://doi.org/10.1137/070701017

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