Download or read book RESOLUTION DES EQUATIONS D EULER POUR DES ECOULEMENTS NON LINEAIRES EN PRESENCE D UNE INTERFACE written by OLIVIER.. LAGET and published by . This book was released on 1998 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: PLUSIEURS METHODES SONT DEVELOPPEES POUR RESOUDRE LES EQUATIONS D'EULER DANS LE CAS D'ECOULEMENTS INCOMPRESSIBLES EN PRESENCE D'UNE INTERFACE NON-LINEAIRE. UNE PREMIERE PARTIE, PLUS THEORIQUE, CONCERNE LE CALCUL DE LA FORME D'ONDES SOLITAIRES DE CAPILLARITE-GRAVITE APPARAISSANT A L'INTERFACE SEPARANT DEUX FLUIDES NON MISCIBLES. ON EN ETUDIE L'EXISTENCE ET LE COMPORTEMENT EN FONCTION DE DIFFERENTS NOMBRES ADIMENSIONNELS. L'ADJONCTION D'UNE CONDITION D'IRROTATIONNALITE PERMET DE RAMENER LES EQUATIONS D'EULER BIDIMENSIONNELLES A DES EQUATIONS INTEGRALES RESOLUES GRACE A LA METHODE DE NEWTON. L'EXISTENCE DE CERTAINS TYPES D'ONDES EST MISE EN EVIDENCE. LES RESULTATS NUMERIQUES SONT COMPARES A CEUX OBSERVES EXPERIMENTALEMENT OU A CEUX, ANALYTIQUES, FOURNIS PAR LES EQUATIONS DE KORTEWEG-DE VRIES OU DE SCHRODINGER. LA SECONDE PARTIE EST CONSACREE A L'ETUDE DE DEFORMATIONS D'INTERFACES OBSERVEES DANS UN CADRE INDUSTRIEL. LES EQUATIONS D'EULER SONT RESOLUES SANS HYPOTHESES RESTRICTIVES QUANT AU CALCUL D'ECOULEMENTS ROTATIONNELS GRACE A UNE METHODE DE PSEUDO-COMPRESSIBILITE. LE SUIVI DE LA SURFACE LIBRE EST ASSURE PAR LE COUPLAGE DE CETTE METHODE A DEUX ALGORITHMES CHOISIS EN FONCTION DES PHENOMENES A ETUDIER : VOLUME OF FLUID (V.O.F.) OU MAILLAGE ADAPTATIF. PLUSIEURS PROBLEMES SONT ABORDES : LE BALLOTTEMENT DE FLUIDE DANS UN RESERVOIR OU L'ON MET EN EVIDENCE UNE TRANSITION D'UNE ONDE STATIONNAIRE A UNE ONDE PROGRESSIVE. LA GENERATION, LA PROPAGATION ET L'ABSORPTION D'ONDES DE GRAVITE, AVEC LA MISE AU POINT DE DIFFERENTES CONDITIONS AUX LIMITES (BATTEUR, PLAGE ABSORBANTE NUMERIQUE, FRONTIERE OUVERTE). ON ETUDIE LE CHAMP DE VAGUES TRIDIMENSIONNEL ET INSTABLE (JETS ET DEFERLEMENT) PRODUIT PAR UN NAVIRE RAPIDE (RESISTANCE A L'AVANCEMENT). LES RESULTATS OBTENUS SONT EN BON ACCORD AVEC LES MESURES EXPERIMENTALES ET NUMERIQUES DISPONIBLES DANS LA LITTERATURE.

Download or read book SUR QUELQUES EQUATIONS AUX DERIVEES PARTIELLES NON LINEAIRES INTERVENANT EN MECANIQUE DES FLUIDES written by Luc Molinet and published by . This book was released on 1996 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE EST CONSACREE A L'ETUDE DE 3 PROBLEMES, CHACUN ETANT ASSOCIE A UNE EQUATION DE NATURE DIFFERENTE. LA PREMIERE PARTIE CONCERNE LE PROBLEME D'EXISTENCE D'ECOULEMENTS STATIONNAIRES DES EQUATIONS D'EULER COMPRESSIBLES BAROTROPIQUES A TRAVERS UN DOMAINE BORNE. INTRODUISANT DE BONNES CONDITIONS A L'ENTREE ET A LA SORTIE, NOUS MONTRONS QU'IL EXISTE UNE SOLUTION VERIFIANT CES CONDITIONS ET QUE CETTE SOLUTION, CORRESPONDANT A UN ECOULEMENT SUBSONIQUE, EST LOCALEMENT UNIQUE DANS SA CLASSE DE REGULARITE. DANS LA DEUXIEME PARTIE, NOUS ETUDIONS LE COMPORTEMENT ASYMPTOTIQUE DES SOLUTIONS DE L'EQUATION DE KURAMOTO-SIVASHINSKY AVEC DES CONDITIONS PERIODIQUES AU BORD EN DIMENSION 2. NOUS MONTRONS QUE SI LA LARGEUR DU DOMAINE VERIFIE UNE CERTAINE ESTIMATION EN FONCTION DE LA LONGUEUR, CETTE EQUATION ADMET UN ENSEMBLE BORNE LOCALEMENT ABSORBANT QUE L'ON ESTIMERA AINSI QUE SON BASSIN D'ABSORPTION. LA TROISIEME PARTIE, COMPOSEE DES CHAPITRES 3 ET 4, EST CONSACREE A LA MODELISATION ET LA THEORIE MATHEMATIQUE DES ONDES HYDRODYNAMIQUES BI-DIMENSIONNELLES LORSQUE L'ON TIENT COMPTE DES EFFETS DE LA VISCOSITE. DANS UN PREMIER TEMPS, A L'AIDE DE LA THEORIE CLASSIQUES DES COUCHES LIMITES, ON MONTRE QUE, PARTANT DES EQUATIONS DE NAVIER-STOKES, ON PEUT FORMELLEMENT OBTENIR L'EQUATION DE K-P II COMPLETEE D'UN TERME NON LOCAL A LA FOIS DISPERSIF ET DISSIPATIF DANS LA DIRECTION PRINCIPALE DE PROPAGATION. DANS UN DEUXIEME TEMPS, ON ETUDIE LA DECROISSANTE EN TEMPS DES EQUATIONS DE KADOMTSEV-PETVIASHVILI GENERALISEE COMPLETEES D'UN TERME DE TYPE BURGERS DANS LA DIRECTION PRINCIPALE DE PROPAGATION. APRES AVOIR ETUDIE LE PROBLEME DE CAUCHY GLOBAL, ON MONTRE QUE LES TAUX DE DECROISSANCE EN CERTAINES NORMES DE LA SOLUTION DE CES EQUATIONS NON LINEAIRES SONT LES MEMES QUE CEUX EXHIBES PAR CELLE DE CES MEMES EQUATIONS LINEARISEES AUTOUR DE LA SOLUTION NULLE

Download or read book RESOLUTION DES EQUATIONS D EULER PAR DES METHODES MULTIGRILLES CONDITIONS AUX LIMITES EN REGIME HYPERSONIQUE written by MARIE-PIERRE.. LECLERQ and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: L'ETUDE PORTE SUR LA RESOLUTION DES EQUATIONS D'EULER EN ELEMENTS FINIS NON STRUCTURES A L'AIDE DE SCHEMAS DECENTRES PRECIS ET EFFICACES. TOUT D'ABORD, ON S'INTERESSE A LA PRISE EN COMPTE DE LA CONDITION AUX LIMITES DE TYPE PAROI. ON SE PLACE DANS LE CADRE D'UNE FORMULATION FAIBLE ET ON UTILISE LA RESOLUTION EXACTE (FLUX DE GODUNOV) OU APPROCHEE (FLUX D'OSHER) D'UN 1/2 PROBLEME DE RIEMANN. ENSUITE, ON ETUDIE UNE CLASSE DE METHODES MULTIGRILLES PAR UNE ANALYSE DE L'EQUATION D'ADVECTION LINEAIRE MONODIMENSIONNELLE. LE CALCUL DU FACTEUR D'AMPLIFICATION D'UN V-CYCLE IDEAL EN BIGRILLE EST EFFECTUE VIA UNE ANALYSE DE FOURIER. LES PARAMETRES D'UN SCHEMA A QUATRE PAS, PRECIS A L'ORDRE DEUX EN ESPACE, SONT ALORS OPTIMISES POUR CHACUNE DES METHODES MULTIGRILLES. ON CONSTRUIT UNE NOUVELLE METHODE MULTIGRILLE DITE CARACTERISTIQUE SPECIALEMENT ADAPTEE A LA RESOLUTION DE PROBLEMES HYPERBOLIQUES, BASEE SUR LA DEFINITION DE NOUVEAUX OPERATEURS DE TRANSFERT DECENTRES DANS LES DIRECTIONS CARACTERISTIQUES. ON ETEND LA METHODOLOGIE AUX PROBLEMES BI ET TRIDIMENSIONNELS, LES RESULTATS NUMERIQUES MONTRENT LA ROBUSTESSE ET L'EFFICACITE DE CETTE APPROCHE Y COMPRIS POUR DES SIMULATIONS D'ECOULEMENTS HYPERSONIQUES

Download or read book RESOLUTION DES EQUATIONS D EULER PAR DES METHODES D ELEMENTS FINIS written by VERONIQUE.. BILLEY and published by . This book was released on 1984 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON DEVELOPPE DES METHODES EXPLICITES D'ELEMENTS FINIS TRIDIMENSIONNELS POUR LE CALCUL DE SOLUTIONS STATIONNAIRES D'ECOULEMEMTS DE FLUIDES PARFAITS COMPRESSIBLES. DEUX TYPES DE SOLVEURS SONT ETUDIES. LE PREMIER, DECENTRE, PRECIS A L'ORDRE UN, PERMET AVEC UNE VISCOSITE RESIDUELLE, L'ETUDE D'ECOULEMENTS EN REGIME HYPERSONIQUE; LE SECOND, CENTRE AVEC UNE VISCOSITE ARTIFICIELLE, PRECIS A L'ORDRE DEUX, EST EXPERIMENTE SUR UNE ENTREE D'AIR TRIDIMENSIONNELLE. UN ACCELERATEUR DE CONVERGENCE DE TYPE SCHEMA MULTIPAS RUNGE-KUTTA-RATIONNEL EST TESTE SUR DES ECOULEMENTSAUTOUR DE PROFILS LENTICULAIRES. IL PERMET L'UTILISATION DE GRANDS PAS DE TEMPS

Download or read book DEVELOPPEMENT D UNE METHODE DE PSEUDO COMPRESSIBILITE POUR LE CALCUL DES ECOULEMENTS DE FLUIDE INCOMPRESSIBLE APPLICATIONS AUX ECOULEMENTS INSTATIONNAIRES EN PRESENCE D UNE SURFACE LIBRE written by CHRISTINE.. DE JOUETTE CALM and published by . This book was released on 1994 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: UNE METHODE DE PSEUDO-COMPRESSIBILITE EST DEVELOPPEE POUR RESOUDRE LES EQUATIONS STATIONNAIRES D'EULER OU DE NAVIER-STOKES DE FLUIDE INCOMPRESSIBLE. PLUSIEURS FORMULATIONS PSEUDO-INSTATIONNAIRES CONSERVATIVES, CONDUISANT A DES SYSTEMES HYPERBOLIQUES DANS LE CAS DE FLUIDES NON VISQUEUX, ONT ETE ETUDIEES ET LEURS PERFORMANCES COMPAREES SUR DES CALCULS D'ECOULEMENTS AUTOUR DE PROFILS. LA METHODE DE RESOLUTION DU SYSTEME PSEUDO-INSTATIONNAIRE RETENU EST CARACTERISEE PAR UNE DISCRETISATION CENTREE EN ESPACE, DE TYPE VOLUMES FINIS, DES TERMES DE VISCOSITE ARTIFICIELLE, UN SCHEMA DE RUNGE-KUTTA APPLIQUE AU PSEUDO-TEMPS. CETTE METHODE EST ENSUITE ETENDUE AU CALCUL D'ECOULEMENTS INSTATIONNAIRES, EN PRESENCE D'UNE SURFACE LIBRE. UNE METHODE DE DEFORMATION DE MAILLAGE, BASEE SUR UNE FONCTION HAUTEUR, PERMET UN SUIVI NON LINEAIRE DE CETTE SURFACE. LE CARACTERE HYPERBOLIQUE DU SYSTEME PSEUDO-INSTATIONNAIRE AUTORISE UN TRAITEMENT DES FRONTIERES DU DOMAINE DE CALCUL AU MOYEN DES RELATIONS DE COMPATIBILITE QUE L'ON COMPLETE PAR DIFFERENTES CONDITIONS AUX LIMITES. UN CODE DE CALCUL A ETE CONCU POUR ETUDIER DES ECOULEMENTS TRIDIMENSIONNELS, MAIS SA VALIDATION NE CONCERNE QUE DES APPLICATIONS BIDIMENSIONNELLES

Download or read book MULTIGRID UPWIND FINITE ELEMENT SCHEMES FOR SOLVING THE EULER EQUATIONS written by Marie-Hélène Lallemand and published by . This book was released on 1988 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON ETUDIE LES METHODES MULTIGRILLES EN ELEMENTS FINIS NON STRUCTURES POUR LE CALCUL DES SOLUTIONS STATIONNAIRES D'ECOULEMENTS DE FLUIDES PARFAITS INCOMPRESSIBLES EN DEUX DIMENSIONS D'ESPACE. ON CONSTRUIT DEUX ALGORITHMES MULTIGRILLES NON LINEAIRES AVEC UN SCHEMA DE BASSE EXPLICITE EN TEMPS DE TYPE RUNGE-KUTTER LINEARISE. ON CONSIDERE UN SCHEMA IMPLICITE DANS LEQUEL LE SYSTEME LINEAIRE EST RESOLU A CHAQUE ITERATION EN TEMPS PAR UN ALGORITHME MULTIGRILLE BASE SUR UNE METHODE DE JACOBI. ON MET EN EVIDENCE PAR UNE ANALYSE THEORIQUE D'UN MODELE HYPERBOLIQUE LES PROPRIETES DE DISSIPATION ET DE PROPAGATION DES METHODES DE RUNGE-KUTTER ET DE JACOBI EN DISCRETISATION SPATIALE DECENTREE ET ON OBTIENT DES CRITERES D'OPTIMISATION DES DIFFERENTS ALGORITHMES MULTIGRILLES. LES RESULTATS SONT VALIDES PAR UNE SERIE D'EXPERIENCES NUMERIQUES

Download or read book Navier Stokes Equations written by Roger Temam and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.

Download or read book Finite Volumes for Complex Applications IX Methods Theoretical Aspects Examples written by Robert Klöfkorn and published by Springer Nature. This book was released on 2020-06-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Download or read book Large Eddy Simulations of Turbulence written by M. Lesieur and published by Cambridge University Press. This book was released on 2005-08-22 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large-Eddy Simulations of Turbulence is a reference for LES, direct numerical simulation and Reynolds-averaged Navier-Stokes simulation.

Download or read book Water Waves The Mathematical Theory with Applications written by James Johnston Stoker and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.

Download or read book Active Subspaces written by Paul G. Constantine and published by SIAM. This book was released on 2015-03-17 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space. Active subspaces are an emerging set of dimension reduction tools that identify important directions in the parameter space. This book describes techniques for discovering a model's active subspace and proposes methods for exploiting the reduced dimension to enable otherwise infeasible parameter studies. Readers will find new ideas for dimension reduction, easy-to-implement algorithms, and several examples of active subspaces in action.

Download or read book Hyperbolic Problems written by Michael Fey and published by . This book was released on 1999 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vortex Flows and Related Numerical Methods written by J.T. Beale and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.

Download or read book New Directions in Mathematical Fluid Mechanics written by Andrei V. Fursikov and published by Springer Science & Business Media. This book was released on 2010-01-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: On November 3, 2005, Alexander Vasil’evich Kazhikhov left this world, untimely and unexpectedly. He was one of the most in?uential mathematicians in the mechanics of ?uids, and will be remembered for his outstanding results that had, and still have, a c- siderablysigni?cantin?uenceinthe?eld.Amonghis manyachievements,werecall that he was the founder of the modern mathematical theory of the Navier-Stokes equations describing one- and two-dimensional motions of a viscous, compressible and heat-conducting gas. A brief account of Professor Kazhikhov’s contributions to science is provided in the following article “Scienti?c portrait of Alexander Vasil’evich Kazhikhov”. This volume is meant to be an expression of high regard to his memory, from most of his friends and his colleagues. In particular, it collects a selection of papers that represent the latest progress in a number of new important directions of Mathematical Physics, mainly of Mathematical Fluid Mechanics. These papers are written by world renowned specialists. Most of them were friends, students or colleagues of Professor Kazhikhov, who either worked with him directly, or met him many times in o?cial scienti?c meetings, where they had the opportunity of discussing problems of common interest.

Download or read book Boundary Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.

Download or read book Optimization Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index

Download or read book An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism written by George Green and published by . This book was released on 1828 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: