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Author Grigorʹev, I︠U︡. N. (I︠U︡riĭ Nikolaevich)

Title Numerical "particle-in-cell" methods : theory and applications / Yu. N. Grigoryev, V.A. Vshivkov and M.P. Fedoruk
Published Utrecht ; Boston : VSP, 2002


Description 1 online resource (iii, 249 pages) : illustrations
Contents ""Introduction. Computational particle methods""; ""General characteristics""; ""Some applications""; ""1. Particle-in-cell methods""; ""1.1. Introduction""; ""1.2. General scheme""; ""1.3. Model particles and their properties""; ""1.4. Errors of the particle-in-cell schemes""; ""1.5. The continuity equation in the particle method""; ""2. Particle-in-cell methods on unstructured meshes""; ""2.1. Introduction""; ""2.2. Finite-elements bases""; ""2.3. The Lagrangian step on unstructured meshes""; ""2.4. The Euler step. The finite-volume method""; ""3. The particle methods in gas dynamics""
""3.1. Introduction""""3.2. Basic equations""; ""3.3. The realization of the method""; ""3.4. The combined particle method""; ""3.5. The example of application""; ""4. Vortex-in-cell methods""; ""4.1. Introduction""; ""4.2. Vorticity dynamics in two-dimensional flows""; ""4.3. The vortex-in-cell method in two-dimensional case""; ""4.4. The dynamics of vortices in three-dimensional flows""; ""4.5. The vortex-in-cell scheme for three-dimensional flows""; ""4.6. The examples of applications""; ""5. Particle-in-cell methods in collisionless plasma dynamics""; ""5.1. Introduction""
""5.2. Collisionless plasma basic equations""""5.3. General scheme and computation cycle of the method""; ""5.4. Conservation laws in model plasma""; ""5.5. Examples of applications""; ""6. Statistical particle-in-cell methods""; ""6.1. Introduction""; ""6.2. Kinetic equations of rarefied gas""; ""6.3. Some procedures of Monte Carlo methods""; ""6.4. Statistical particle methods""; ""6.5. Examples of the application""; ""Supplements""; ""A. Subroutine of initial data preparation""; ""B. Subroutines of interpolation between the Lagrangian and Eulerian meshes""
""B1. Interpolation of the mesh vector-function to the Lagrangian mesh of particles""""B2. Interpolation of the scalar function from the Lagrangian mesh of particles to nodes of the Eulerian mesh""; ""B3. The subroutine of interpolation of generalized fields to the particle location on unstructured grids""; ""B4. The subroutine for assignment of the particle charge on unstructured grids""; ""B5. The subroutine for the determination of the scalar density in the nodes of unstructured grids""; ""C. Subroutine for the particle dynamics""
Bibliography Includes bibliographical references (pages 241-249)
Notes Online resource; title from pdf information screen (Ebsco, viewed July 12, 2013)
Subject Lagrange equations -- Numerical solutions.
Fluid dynamics -- Mathematical models
SCIENCE -- Mechanics -- Fluids.
Fluid dynamics -- Mathematical models.
Lagrange equations -- Numerical solutions.
Form Electronic book
Author Vshivkov, V. A. (Vitaliĭ Andreevich)
Fedoruk, M. P. (Mikhail Petrovich)
ISBN 9783110916706