| Description |
1 online resource |
| Contents |
NUMERICAL SIMULATIONRESEARCH PROGRESS; CONTENTS; PREFACE; THE APPLICATION OF THE METHOD OFCHARACTERISTICS FOR THE NUMERICAL SOLUTIONOF HYPERBOLIC DIFFERENTIAL EQUATIONS; Abstract; 1. Introduction; 2. The Collisionless Kinetic Sheath; 2.1. The Relevant Equations; 2.2. The Numerical Scheme; 2.3. Results; 3. Study of the Phase-Space Dynamic in Capacitive Discharges; 4. A One-Dimensional Ion Extraction Model; 5. Oscillations of the Collisionless Sheath at Grazing Incidence ofthe Magnetic Field; 5.1. The Kinetic Model for the Magnetized Sheath; 5.2. The Numerical Scheme |
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6. Study of the Formation of a Charge Separation and an ElectricField at a Plasma Edge6.1. The Relevant Equations and the Numerical Method for the 2D Problemin Cylindrical Geometry; 6.2. Results; Case1; Case2; 7. Numerical Simulation of Wake-Field Acceleration; 7.1. The Relevant Equations; The 1D relativistic Vlasov-Maxwell model; The numerical scheme; 7.2. Results; The case of a circular polarization; The case of a linear polarization; 8. Interaction of a High Intensity Laser Field Incident on anOverdense Plasma; 9. Fuid Equations; 9.1. A One-Dimensional Model for the Blood Flow in the Aorta |
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9.2. Acoustic Waves10. Conclusion; Acknowledgments; References; MIXED FINITE DIFFERENCE-SPECTRALNUMERICAL APPROACH FOR KINETIC AND FLUIDDESCRIPTION OF NONLINEAR PHENOMENA INPLASMA PHYSICS; Abstract; 1. Introduction; 2. Kinetic Point of View in Plasma Physics; 2.1. Hyperbolic Equations of Conservation Law Type; 2.2. Splitting Method; 3. The Fluid Point of View; 3.1. The Magnetohydrodynamics Approximation; 3.2. Numerical Solution of the MHD Equations; 3.3. Advection Equations; 3.4. Elliptic Equations; 3.5. Boundary Conditions for the MHD Description; 4. Kinetic Simulations |
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4.1. Vlasov-Poisson Code4.2. Linear and Nonlinear Landau Damping; 4.3. PlasmaWaves Echoes; 4.4. Phase Space Vortex Coalescence; 5. Magnetohydrodynamics Simulations; 6. Conclusions; References; NUMERICAL SIMULATIONS OF THE NONLINEARSOLITARY WAVES; Abstract; 1. Introduction; 2. The Symlectic and Multisymplectic Methods; 3. Simulations of SolitaryWaves by Symplectic Methods; 3.1. Simulations of the Coupled Nonlinear Schr odinger System; 3.2. Simulations of the Nonlinear Rossby Wave Packets; 4. Simulations of SolitaryWaves by Multi-Symplectic Methods |
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4.1. Simulations of the Nonlinear Klein-Gordon Equation4.2. Simulations of the Kdv Equation; 5. Conclusion; Acknowledgements; References; SYMMETRY IN TURBULENCE SIMULATION; Abstract; 1. Introduction; 2. Panorama of the Application of Symmetries; 2.1. Basic Definitions; 2.2. Resolution of a Riccati Equation; 2.3. Integrating Factor; 2.4. Reduction of a Partial Differential Equation; 2.5. 2D Laminar Thin Shear Layer Flows; 2.5.1. Scaling Symmetries and Self-similar Solutions; 2.5.2. Reduction of the Equations; 2.5.3. Examples of Values of ; 2.6. Non-isothermal Laminar Thin Shear Layer Flows |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Numerical analysis -- Simulation methods
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Numerical analysis -- Research
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Quantitative research -- Mathematical models
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MATHEMATICS -- Numerical Analysis.
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Numerical analysis -- Research
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| Form |
Electronic book
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| Author |
Colombo, Simone P
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Rizzo, Christian L
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| LC no. |
2020685380 |
| ISBN |
9781617285523 |
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1617285528 |
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