Description 
1 online resource (iii, 249 pages) : illustrations 
Contents 
""Introduction. Computational particle methods""; ""General characteristics""; ""Some applications""; ""1. Particleincell methods""; ""1.1. Introduction""; ""1.2. General scheme""; ""1.3. Model particles and their properties""; ""1.4. Errors of the particleincell schemes""; ""1.5. The continuity equation in the particle method""; ""2. Particleincell methods on unstructured meshes""; ""2.1. Introduction""; ""2.2. Finiteelements bases""; ""2.3. The Lagrangian step on unstructured meshes""; ""2.4. The Euler step. The finitevolume 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. Vortexincell methods""; ""4.1. Introduction""; ""4.2. Vorticity dynamics in twodimensional flows""; ""4.3. The vortexincell method in twodimensional case""; ""4.4. The dynamics of vortices in threedimensional flows""; ""4.5. The vortexincell scheme for threedimensional flows""; ""4.6. The examples of applications""; ""5. Particleincell 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 particleincell 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 vectorfunction 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 241249) 
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 

3110916703 

9067643688 

9789067643689 
