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pro vyhledávání: '"Helluy, Philippe"'
We present a novel framework for the development of fourth-order lattice Boltzmann schemes to tackle multidimensional nonlinear systems of conservation laws. Our numerical schemes preserve two fundamental characteristics inherent in classical lattice
Externí odkaz:
http://arxiv.org/abs/2403.13406
We propose a new stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM is a variant of the LBM with extended stability features: it allows to handle compressible flows with shock waves, while the LBM is limited to low-Mach num
Externí odkaz:
http://arxiv.org/abs/2402.09813
Autor:
Flint, Clément, Helluy, Philippe
This paper presents a new solution to address the challenge of increasing memory usage in high-performance computing simulations of Lattice-Bolzmann or Finite-Volume schemes.Our approach utilises a lossy compression scheme based on the Discrete Wavel
Externí odkaz:
http://arxiv.org/abs/2302.09883
We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not require the ass
Externí odkaz:
http://arxiv.org/abs/2212.11010
Autor:
Baty, Hubert, Drui, Florence, Helluy, Philippe, Franck, Emmanuel, Klingenberg, Christian, Thanhäuser, Lukas
Publikováno v:
In Applied Mathematics and Computation 1 March 2023 440
Akademický článek
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The over-relaxation approach is an alternative to the Jin-Xin relaxation method (Jin and Xin [1]) in order to apply the equilibrium source term in a more precise way (Coulette et al. [2, 3]). This is also a key ingredient of the Lattice-Boltzmann met
Externí odkaz:
http://arxiv.org/abs/1807.05695
We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time. The co
Externí odkaz:
http://arxiv.org/abs/1802.04590
Autor:
Badwaik, Jayesh, Boileau, Matthieu, Coulette, David, Franck, Emmanuel, Helluy, Philippe, Mendoza, Laura, Oberlin, Herbert
In this paper we present and implement the Palindromic Discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [4] in the one-dimensional context. The PDG method is a general implicit high
Externí odkaz:
http://arxiv.org/abs/1702.00169
We present a high order scheme for approximating kinetic equations with stiff relaxation. The objective is to provide efficient methods for solving the underlying system of conservation laws. The construction is based on several ingredients: (i) a hi
Externí odkaz:
http://arxiv.org/abs/1612.09422