Computational Methods in Plasma Physics

,

Wysyłka: Niedostępna
Sugerowana cena detaliczna 319,20 PLN
Nasza cena: 298,45 PLN
Oszczędzasz 6%
Dodaj do Schowka
Zaloguj się
Przypomnij hasło
×
×
Paypo
Oferujemy szeroki asortyment - ponad 120 tys. produktów
Dysponujemy solidną wiedzą - działamy już 11 lat
Dbamy o wybór najcenniejszych tytułów

Opis: Computational Methods in Plasma Physics - Stephen Jardin, S Jardin

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts necessary for the numerical solution of partial differential equations. Along with discussing numerical stability and accuracy, the author explores many of the algorithms used today in enough depth so that readers can analyze their stability, efficiency, and scaling properties. He focuses on mathematical models where the plasma is treated as a conducting fluid, since this is the most mature plasma model and most applicable to experiments. The book also emphasizes toroidal confinement geometries, particularly the tokamak-a very successful configuration for confining a high-temperature plasma. Many of the basic numerical techniques presented are also appropriate for equations encountered in a higher-dimensional phase space. One of the most challenging research areas in modern science is to develop suitable algorithms that lead to stable and accurate solutions that can span relevant time and space scales. This book provides an excellent working knowledge of the algorithms used by the plasma physics community, helping readers on their way to more advanced study. This book provides a comprehensive and self-contained introduction to the computational methods used in plasma physics. The author successfully familiarizes readers with the basic concepts of numerical methods for partial differential equations and conjoins these methods with the magnetohydrodynamic equations that are used in plasma physics. ... The extensive treatment of the material, the problems in each chapter, and the accurate topic presentation in this book make it an appropriate textbook for graduate students in physics and engineering with no prior knowledge of plasma physics or numerical mathematics. ... great textbook on a highly complex scientific subject. I highly recommend this book ... -Computing Reviews, January 2011Introduction to Magnetohydrodynamic Equations Introduction Magnetohydrodynamic (MHD) Equations Characteristics Introduction to Finite Difference Equations Introduction Implicit and Explicit Methods Errors Consistency, Convergence, and Stability Von Neumann Stability Analysis Accuracy and Conservative Differencing Finite Difference Methods for Elliptic Equations Introduction One Dimensional Poisson's Equation Two Dimensional Poisson's Equation Matrix Iterative Approach Physical Approach to Deriving Iterative Methods Multigrid Methods Krylov Space Methods Finite Fourier Transform Plasma Equilibrium Introduction Derivation of the Grad-Shafranov Equation The Meaning of I Exact Solutions Variational Forms of the Equilibrium Equation Free Boundary Grad-Shafranov Equation Experimental Equilibrium Reconstruction Magnetic Flux Coordinates in a Torus Introduction Preliminaries Magnetic Field, Current, and Surface Functions Constructing Flux Coordinates from I (R, Z) Inverse Equilibrium Equation Diffusion and Transport in Axisymmetric Geometry Introduction Basic Equations and Orderings Equilibrium Constraint Time Scales Numerical Methods for Parabolic Equations Introduction One Dimensional Diffusion Equations Multiple Dimensions Methods of Ideal MHD Stability Analysis Introduction Basic Equations Variational Forms Cylindrical Geometry Toroidal Geometry Numerical Methods for Hyperbolic Equations Introduction Explicit Centered-Space Methods Explicit Upwind Differencing Limiter Methods Implicit Methods Spectral Methods for Initial Value Problems Introduction Orthogonal Expansion Functions Non-Linear Problems Time Discretization Implicit Example: Gyrofluid Magnetic Reconnection The Finite Element Method Introduction Ritz Method in One Dimension Galerkin Method in One Dimension Finite Elements in Two Dimensions Eigenvalue Problems Bibliography Index A Summary appears at the end of each chapter.


Szczegóły: Computational Methods in Plasma Physics - Stephen Jardin, S Jardin

Tytuł: Computational Methods in Plasma Physics
Autor: Stephen Jardin, S Jardin
Producent: CRC Press Inc.
ISBN: 9781439810217
Rok produkcji: 2010
Ilość stron: 372
Oprawa: Twarda
Waga: 0.66 kg


Recenzje: Computational Methods in Plasma Physics - Stephen Jardin, S Jardin

Zaloguj się
Przypomnij hasło
×
×

Computational Methods in Plasma Physics

,

Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts necessary for the numerical solution of partial differential equations. Along with discussing numerical stability and accuracy, the author explores many of the algorithms used today in enough depth so that readers can analyze their stability, efficiency, and scaling properties. He focuses on mathematical models where the plasma is treated as a conducting fluid, since this is the most mature plasma model and most applicable to experiments. The book also emphasizes toroidal confinement geometries, particularly the tokamak-a very successful configuration for confining a high-temperature plasma. Many of the basic numerical techniques presented are also appropriate for equations encountered in a higher-dimensional phase space. One of the most challenging research areas in modern science is to develop suitable algorithms that lead to stable and accurate solutions that can span relevant time and space scales. This book provides an excellent working knowledge of the algorithms used by the plasma physics community, helping readers on their way to more advanced study. This book provides a comprehensive and self-contained introduction to the computational methods used in plasma physics. The author successfully familiarizes readers with the basic concepts of numerical methods for partial differential equations and conjoins these methods with the magnetohydrodynamic equations that are used in plasma physics. ... The extensive treatment of the material, the problems in each chapter, and the accurate topic presentation in this book make it an appropriate textbook for graduate students in physics and engineering with no prior knowledge of plasma physics or numerical mathematics. ... great textbook on a highly complex scientific subject. I highly recommend this book ... -Computing Reviews, January 2011Introduction to Magnetohydrodynamic Equations Introduction Magnetohydrodynamic (MHD) Equations Characteristics Introduction to Finite Difference Equations Introduction Implicit and Explicit Methods Errors Consistency, Convergence, and Stability Von Neumann Stability Analysis Accuracy and Conservative Differencing Finite Difference Methods for Elliptic Equations Introduction One Dimensional Poisson's Equation Two Dimensional Poisson's Equation Matrix Iterative Approach Physical Approach to Deriving Iterative Methods Multigrid Methods Krylov Space Methods Finite Fourier Transform Plasma Equilibrium Introduction Derivation of the Grad-Shafranov Equation The Meaning of I Exact Solutions Variational Forms of the Equilibrium Equation Free Boundary Grad-Shafranov Equation Experimental Equilibrium Reconstruction Magnetic Flux Coordinates in a Torus Introduction Preliminaries Magnetic Field, Current, and Surface Functions Constructing Flux Coordinates from I (R, Z) Inverse Equilibrium Equation Diffusion and Transport in Axisymmetric Geometry Introduction Basic Equations and Orderings Equilibrium Constraint Time Scales Numerical Methods for Parabolic Equations Introduction One Dimensional Diffusion Equations Multiple Dimensions Methods of Ideal MHD Stability Analysis Introduction Basic Equations Variational Forms Cylindrical Geometry Toroidal Geometry Numerical Methods for Hyperbolic Equations Introduction Explicit Centered-Space Methods Explicit Upwind Differencing Limiter Methods Implicit Methods Spectral Methods for Initial Value Problems Introduction Orthogonal Expansion Functions Non-Linear Problems Time Discretization Implicit Example: Gyrofluid Magnetic Reconnection The Finite Element Method Introduction Ritz Method in One Dimension Galerkin Method in One Dimension Finite Elements in Two Dimensions Eigenvalue Problems Bibliography Index A Summary appears at the end of each chapter.

Powiadom o dostępności
Podaj swój e-mail a zostaniesz poinformowany jak tylko pozycja będzie dostępna.
×
Cena 319,20 PLN
Nasza cena 298,45 PLN
Oszczędzasz 6%
Wysyłka: Niedostępna
Dodaj do Schowka
Zaloguj się
Przypomnij hasło
×
×

Paypo

Szczegóły: Computational Methods in Plasma Physics - Stephen Jardin, S Jardin

Tytuł: Computational Methods in Plasma Physics
Autor: Stephen Jardin, S Jardin
Producent: CRC Press Inc.
ISBN: 9781439810217
Rok produkcji: 2010
Ilość stron: 372
Oprawa: Twarda
Waga: 0.66 kg


Recenzje: Computational Methods in Plasma Physics - Stephen Jardin, S Jardin

Zaloguj się
Przypomnij hasło
×
×

Klienci, którzy kupili oglądany produkt kupili także:


Zaloguj się
Przypomnij hasło
×
×
Dodane do koszyka
×