Eulerian codes for the numerical solution of the kinetic equations of plasmas / Magdi Shoucri, editor.

Format:

Book

Contributor:

Shoucri, Magdi Mounir, 1940-

Series:

Physics research and technology.

Physics research and technology

Language:

English

Subjects (All):

Kinetic theory of gases--Mathematics.

Kinetic theory of gases.

Plasma (Ionized gases).

Physical Description:

1 online resource (378 p.)

Edition:

1st ed.

Place of Publication:

Hauppauge, N.Y. : Nova Science Publishers, c2011.

Language Note:

English

Summary:

There have been important developments in the application of Eulerian codes for the numerical solution of the kinetic equations of plasmas. This book reviews the various developments of the application of Eulerian codes to the kinetic equations of plasmas.

Contents:

""EULERIAN CODES FOR THE NUMERICALSOLUTION OF THE KINETIC EQUATIONSOF PLASMAS""; ""CONTENTS""; ""EDITOR�S FOREWORD""; ""DEDICATION""; ""SPLITTING METHODS FOR VLASOV-MAXWELLEQUATIONS IN PLASMA SIMULATIONS""; ""Abstract""; ""IntroductiON""; ""Splitting Scheme""; ""Langmuir Soliton""; ""A. Electron Heating by Langmuir Soliton""; ""B. Propagation of Langmuir Soliton""; ""Electron Cyclotron Wave""; ""Conclusion""; ""References""; ""A VLASOV APPROACH TO COLLISIONLESS SPACEAND LABORATORY PLASMAS""; ""Abstract""; ""1. Introduction""

""2. The Vlasov�Maxwell Equations as a Hamiltonian Flow onPhase Space""""3. Commonly Used Numerical Schemes""; ""3.1. Particle Methods""; ""3.3. A Comparison between Numerical Techniques""; ""4. The Vlasov Equation""; ""4.1. A Multi-advection Equation""; ""4.2. The Particles Motion, Electrostatic Limit""; ""4.3. Splitting Scheme""; ""4.4. Discrete Representation of the Distribution Function on FunctionalSpaces""; ""4.5. Discontinuous Galerkin Schemes""; ""4.6. Van Leer Interpolation""; ""4.7. Splines Interpolation""; ""4.8. Fourier Decomposition""; ""4.9. Semi-Lagrangian Methods""

""5. An Application: The Weibel Instability""""Acknowledgements""; ""References""; ""EULERIAN CONSERVATIVE ADVECTION SCHEMESFOR VLASOV SOLVERS""; ""Abstract""; ""1. Introduction""; ""2. 1D Electrostatic Problems""; ""2.1. The Codes Tested""; ""2.2. 1D Electrostatic Test Problems""; ""2.3. Summary of 1D Electrostatic Tests""; ""3. Electromagnetic Problems""; ""3.1. 1D Relativistic EM Vlasov Solvers""; ""3.2. 2D Relativistic EM Vlasov Solvers""; ""4. Solving Amp`ere instead of Poisson""; ""5. Electrostatic Problems with Dissipation, Krook Collisionsand a Particle Source""; ""6. Conclusion""

""References""""EULERIAN-LAGRANGIAN KINETIC SIMULATIONSOF LASER-PLASMA INTERACTIONS""; ""Abstract""; ""Introduction""; ""2. ELVIS Equations and Numerical Method""; ""2.1. Model and Geometry""; ""2.2. Structure of the Timestep""; ""2.3. f Advection: Cubic Splines""; ""2.4. Krook Operator""; ""2.5. Solving for Ex""; ""2.6. Advance of Transverse Fields E±, vys""; ""3. Electrostatic Application: Langmuir-Wave Dispersion""; ""4. Application to Raman Scattering""; ""4.1. Kinetic Inflation and Electron Acoustic Scatter (no Krook Operator)""; ""4.2. Inclusion of a Krook Operator""

""4.3. Inclusion of Seed Bandwidth""""5. Conclusion""; ""Acknowledgments""; ""References""; ""GYROKINETIC VLASOV SIMULATIONSFOR TURBULENT TRANSPORTIN MAGNETIZED PLASMAS""; ""Abstract""; ""1. Introduction""; ""2. Vlasov Simulation Methods Based on Symplectic Integrators""; ""2.1. Generalization of Splitting Scheme""; ""2.2. Verification of Generalized Splitting Scheme""; ""2.3. Application to Drift Kinetic System""; ""2.4. Verification of Nondissipative Scheme for Drift Kinetic Systems""; ""3. Turbulent Transport and Fine-Scale Distribution Functions""

""3.1. Steady and Quasisteady States of Plasma Turbulence""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-61324-561-0

OCLC:

923654618