Linear Boltzmann
QUANTITATIVE RATES OF CONVERGENCE TO EQUILIBRIUM FOR THE DEGENERATE LINEAR BOLTZMANN EQUATION ON THE TORUS
... the linear relaxation Boltzmann equation on the torus with a spatially varying jump rate which can be zero on large sections of the ...for linear Boltzmann equations un- der the action of ...
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From Newton's law to the linear Boltzmann equation without cut-off
... the linear Boltzmann equation without ...the linear Boltzmann equation without cut-off starting from an infinite range potential at the microscopic ...
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Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation
... 2 L 2 (I×Θ) = 0, the error can still grow quickly with time. It can be theoretically compensated with an increasing polynomial order P . The smoother the solution, the more efficient the increase of P . The fact the gPC ...
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A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation
... the linear Boltzmann equation ( 1 ) In this section, we recall the construction of the semi-analog 16 MC scheme to solve ( 1 ) and the general structure of a MC ...
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Integral representation of the linear Boltzmann operator for granular gas dynamics with applications
... Remark 1.2. Note that, if one does not assume the restitution coefficient ǫ to be constant (see [4] for the general expression of non-constant restitution coefficient ǫ = ǫ(q) in the case, e.g., of visco-elastic spheres) ...
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An Unsplit Monte-Carlo scheme for the resolution of the linear Boltzmann equation coupled to (stiff) Bateman equations
... lack stability when some materials have stiff reaction rate with respect to the scales at stake, see [ 8 ]. Otherwise, simple schemes with adaptive time-steps would inevitably lead to unfordable ones. In [ 8 ], the ...
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Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the Torus
... 2019 BOLTZMANN EQUATION ON THE ...relaxation Boltzmann equation in Boltzmann entropy and related entropy functionals, the ...the linear Boltzmann equation with a quantitative ...the ...
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Multigrid dual-time-stepping lattice Boltzmann method
... lattice Boltzmann method Simon Gsell , * Umberto D’Ortona, and Julien Favier Aix-Marseille ...lattice Boltzmann method often involves small numerical time steps due to the acoustic scaling ...lattice ...
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Boltzmann Samplers for v-balanced Colored Necklaces
... consider Cyc v and Seq v defined below, as additional basic classes, to be added to the collection of classical constructions thus increasing the expressivity of the Boltzmann model. Definition 1. We denote by Seq ...
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9Vi discrete Boltzmann model with multiple collisions
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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A Distributed Lattice Boltzmann-based Flow Simulator
... Lattice Boltzmann-based Flow Simulator The use of Lattice Boltzmann (LB) methods is interesting to describe flows through complex geometries encountered in Chemical Engineering (porous media, packed beds, ...
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Sur l'équation intégrodifférentielle de Boltzmann - Tome (1944) no. 267
... Nous allons maintenant rechercher sous quelles conditions l'équa- tion (E) admet de telles solutions... CONSTRUCTION DES SOLUTIONS. — La méthode due à Carleman four- nissant l'existence [r] ...
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LP N°20 : Facteur de Boltzmann. Applications. (1ER CU)
... On doit faire fonctionner la démarche statistique : description des états microscopiques, choix des variables pertinentes, calcul des moyennes, analyse qualitative des effets des fluc[r] ...
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Impact de gouttelette et changement de phase par la méthode de Boltzmann sur réseau
... RÉSUMÉ Les écoulements multiphasiques avec changement de phase et transfert de chaleur interviennent dans de nombreuses applications industrielles et processus naturels. Malgré le développement rapide des outils ...
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Etude de la méthode Boltzmann sur Réseau pour les simulations en aéroacoustique.
... de Boltzmann et celles de Navier-Stokes (1823), élargissant ainsi les tra- vaux de Boltzmann (cette procédure sera détaillée plus précisément dans la suite de ce ...de Boltzmann munie de l'opérateur ...
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A contribution to non-linear PDEs with applications to the level set method, non-Newtonian fluid flows and the Boltzmann equation
... Organization of the paper In Section 2 we state our main results, Theorems 2.2 and 2.3. In Subsection 3.1 we study the 1-dimensional analogue of (1.3) which we use in Lemma 3.3 ; this Lemma is the crucial step in order ...
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Adjoint Lattice Boltzmann Equation for Parameter Identification
... Lattice Boltzmann Equation is briefly introduced using moments to clearly separate the propagation and collision steps in the ...Lattice Boltzmann Equation to get expressions for the derivatives of the cost ...
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Modélisation des phénoménes transitoire lents avec la méthode de Boltzmann sur réseau
... de Boltzmann, appelé opérateur de collision, représente l'ef- fet des collisions entre ...Ludwig Boltzmann n'avait qu'une idée approximative de cet opérateur de collision et de ce fait ne considérait que ...
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Notice d'utilisation du logiciel BOL2D pour la simulation bidimensionnelle de l'equation de Boltzmann
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Dynamical selective ltering for the Lattice Boltzmann Method
... instability at dierent time. The 96 3 grid simulation exhibits a relatively good transition to turbulence but collapses just before the peak of dissipation around t = 8. Finally, the 64 3 grid simulation collapses ...
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