Author: Chenghai Sun
Publisher:
ISBN:
Category :
Languages : fr
Pages : 136
Get Book Here
Book Description
CETTE THESE A POUR BUT DE MODELISER ET SIMULER, PAR LA METHODE DES GAZ SUR RESEAUX, DES PHENOMENES HYDRODYNAMIQUES, DE LA DIFFUSION DE MASSE ET DU TRANSFERT DE CHALEUR. LE CHAPITRE I EST UNE INTRODUCTION GENERALE DES MODELES DE GAZ SUR RESEAUX. AU CHAPITRE II, NOUS AVONS DEMONTRE L'EXISTENCE ET L'UNICITE DE L'EQUILIBRE LOCAL ET DE L'EQUILIBRE GLOBAL DE LA POPULATION MOYENNE. PUIS NOUS AVONS ADAPTE LA METHODE DE LYAPUNOV A L'EQUATION AUX DIFFERENCES FINIES. GRACE AU THEOREME H, NOUS AVONS OBTENU LA PERIODICITE ASYMPTOTIQUE CONDITIONNELLE POUR UNE SOLUTION NON-HOMOGENE DE L'EQUATION DE BOLTZMANN ET LA STABILITE ASYMPTOTIQUE CONDITIONNELLE POUR UNE SOLUTION HOMOGENE. AU CHAPITRE III, NOUS AVONS DEFINI LA TEMPERATURE DEPENDANT SEULEMENT DE L'ENERGIE INTERNE ET DE LA MASSE VOLUMIQUE ET VERIFIANT LES RELATIONS HABITUELLES DE LA THERMODYNAMIQUE. LES EQUATIONS DE CONSERVATION SONT DEDUITES DANS LES CAS GENERAUX PAR LA METHODE DE CHAPMANN-ENSKOG. LES APPLICATIONS A LA DIFFUSION DE MASSE ET AU TRANSFERT DE CHALEUR NOUS DONNENT RESPECTIVEMENT LA LOI DE FICK ET LA LOI DE FOURIER. AUX CHAPITRES IV ET V, DES SIMULATIONS DE DIFFUSION DE MASSE ET DE CHALEUR SONT COMPAREES, DANS LES CAS MONODIMENSIONNELS, AVEC LES SOLUTIONS DE LA LOI DE FICK ET DE LA LOI DE FOURIER OBTENUES PAR UNE METHODE AUX DIFFERENCES FINIES. LES RESULTATS OBTENUS PAR CES DEUX METHODES SONT CONCORDANTS
Author: Roberto Monaco
Publisher: World Scientific
ISBN: 981320141X
Category :
Languages : en
Pages : 432
Get Book Here
Book Description
The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
Author: Jean Hardy
Publisher:
ISBN:
Category :
Languages : fr
Pages : 92
Get Book Here
Book Description
Author: Gary D. Doolen
Publisher: MIT Press
ISBN: 9780262540636
Category : Mathematics
Languages : en
Pages : 356
Get Book Here
Book Description
This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.
Author: Alain Colleoc
Publisher:
ISBN:
Category :
Languages : fr
Pages : 154
Get Book Here
Book Description
Author: Ingo Müller
Publisher:
ISBN:
Category : Kinetic theory of gases
Languages : en
Pages : 356
Get Book Here
Book Description
Author: Gary Doolen
Publisher: CRC Press
ISBN: 042969749X
Category : Mathematics
Languages : en
Pages : 584
Get Book Here
Book Description
Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.
Author: Paul Manneville
Publisher: Springer Science & Business Media
ISBN: 3642752594
Category : Science
Languages : en
Pages : 326
Get Book Here
Book Description
Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.
Author: Dieter A. Wolf-Gladrow
Publisher: Springer
ISBN: 3540465863
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
Book Description
Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Author: Vinicio C Boffi
Publisher: World Scientific
ISBN: 9814554456
Category :
Languages : en
Pages : 284
Get Book Here
Book Description
Contents: Mathematical Biology and Kinetic Theory Evolution of the Dominance in a Population of Interacting Organisms (N Bellomo & M Lachowicz)Formation of Maxwellian Tails (A V Bobylev)On Long Time Asymptotics of the Vlasov-Poisson-Boltzmann System (J Dolbeault)The Classical Limit of a Self-Consistent Quantum-Vlasov Equation in 3-D (P A Markowich & N J Mauser)Simple Balance Methods for Transport in Stochastic Mixtures (G C Pomraning)Knudsen Layer Analysis by the Semicontinuous Boltzmann Equation (L Preziosi)Remarks on a Self Similar Fluid Dynamic Limit for the Broadwell System (M Slemrod & A E Tzavaras)On Extended Kinetic Theory with Chemical Reaction (C Spiga)Stability and Exponential Convergence in Lp for the Spatially Homogeneous Boltzmann Equation (B Wennberg)and other papers Readership: Applied mathematicians. keywords:Proceedings;Workshop;Rapallo (Italy);Kinetic Theory;Hyperbolic Systems;Nonlinear Kinetic Theory
