Electromagnetic Particle In Cell Algorithms On Unstructured Meshes For Kinetic Plasma Simulations

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Electromagnetic Particle-in-cell Algorithms on Unstructured Meshes for Kinetic Plasma Simulations

Author : Dong-Yeop Na
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Electromagnetic Particle-in-cell Algorithms on Unstructured Meshes for Kinetic Plasma Simulations by : Dong-Yeop Na

Download or read book Electromagnetic Particle-in-cell Algorithms on Unstructured Meshes for Kinetic Plasma Simulations written by Dong-Yeop Na and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasma is a significantly ionized gas composed of a large number of charged particles such as electrons and ions. A distinct feature of plasmas is the collective interaction among charged particles. In general, the optimal approach used for modeling a plasma system depends on its characteristic (temporal and spatial) scales. Among various kinds of plasmas, collisionless plasmas correspond to those where the collisional frequency is much smaller than the frequency of interests (e.g. plasma frequency) and the mean free path is much longer than the characteristic length scales (e.g. Debye length). Collisionless plasmas consisting of kinetic space charge particles interacting with electromagnetic fields are well-described by Maxwell-Vlasov equations. Electromagnetic particle-in-cell (EM-PIC) algorithms solve Maxwell-Vlasov systems on a computational mesh by employing coarse-grained superparticle. The concept of superparticle, which may represent millions of physical charged particles (coarse-graining of the phase space), facilitates the realization of computer simulations for underscaled kinetic plasma systems mimicking the physics of real kinetic plasma systems.

Plasma Simulations by Example

Author : Lubos Brieda
Publisher : CRC Press
ISBN 13 : 042980105X
Total Pages : 285 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Plasma Simulations by Example by : Lubos Brieda

Download or read book Plasma Simulations by Example written by Lubos Brieda and published by CRC Press. This book was released on 2019-12-13 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of plasmas is crucial in improving our understanding of the universe, and they are being increasingly utilised in key technologies such as spacecraft thrusters, plasma medicine, and fusion energy. Providing readers with an easy to follow set of examples that clearly illustrate how simulation codes are written, this book guides readers through how to develop C++ computer codes for simulating plasmas primarily with the kinetic Particle in Cell (PIC) method. This text will be invaluable to advanced undergraduates and graduate students in physics and engineering looking to learn how to put the theory to the test. Features: Provides a step-by-step introduction to plasma simulations with easy to follow examples Discusses the electrostatic and electromagnetic Particle in Cell (PIC) method on structured and unstructured meshes, magnetohydrodynamics (MHD), and Vlasov solvers Covered topics include Direct Simulation Monte Carlo (DSMC) collisions, surface interactions, axisymmetry, and parallelization strategies. Lubos Brieda has over 15 years of experience developing plasma and gas simulation codes for electric propulsion, contamination transport, and plasma-surface interactions. As part of his master’s research work, he developed a 3D ES-PIC electric propulsion plume code, Draco, which is to this date utilized by government labs and private aerospace firms to study plasma thruster plumes. His Ph.D, obtained in 2012 from George Washington University, USA, focused on a multi-scale model for Hall thrusters utilizing fluid-kinetic hybrid PIC codes. He has since then been involved in numerous projects involving development and the use of plasma simulation tools. Since 2014 he has been teaching online courses on plasma simulations through his website: particleincell.com.

Advanced 3D Electromagnetic and Particle-in-cell Modeling on Structured

Author :
Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (684 download)

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Book Synopsis Advanced 3D Electromagnetic and Particle-in-cell Modeling on Structured by :

Download or read book Advanced 3D Electromagnetic and Particle-in-cell Modeling on Structured written by and published by . This book was released on 1998 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: New techniques have been recently developed that allow unstructured, free meshes to be embedded into standard 3-dimensional, rectilinear, finite-difference time-domain grids. The resulting hybrid-grid modeling capability allows the higher resolution and fidelity of modeling afforded by free meshes to be combined with the simplicity and efficiency of rectilinear techniques. Integration of these new methods into the full-featured, general-purpose QUICKSILVER electromagnetic, Particle-In-Cell (PIC) code provides new modeling capability for a wide variety of electromagnetic and plasma physics problems. To completely exploit the integration of this technology into QUICKSILVER for applications requiring the self-consistent treatment of charged particles, this project has extended existing PIC methods for operation on these hybrid unstructured/rectilinear meshes. Several technical issues had to be addressed in order to accomplish this goal, including the location of particles on the unstructured mesh, adequate conservation of charge, and the proper handling of particles in the transition region between structured and unstructured portions of the hybrid grid.

Computational Electromagnetism

Author : Alain Bossavit
Publisher : Academic Press
ISBN 13 : 0080529666
Total Pages : 375 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Electromagnetism by : Alain Bossavit

Download or read book Computational Electromagnetism written by Alain Bossavit and published by Academic Press. This book was released on 1998-02-04 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Electromagnetism refers to the modern concept of computer-aided analysis, and design, of virtually all electric devices such as motors, machines, transformers, etc., as well as of the equipment inthe currently booming field of telecommunications, such as antennas, radars, etc. The present book is uniquely written to enable the reader-- be it a student, a scientist, or a practitioner-- to successfully perform important simulation techniques and to design efficient computer software for electromagnetic device analysis. Numerous illustrations, solved exercises, original ideas, and an extensive and up-to-date bibliography make it a valuable reference for both experts and beginners in the field. A researcher and practitioner will find in it information rarely available in other sources, such as on symmetry, bilateral error bounds by complimentarity, edge and face elements, treatment of infinite domains, etc. At the same time, the book is a useful teaching tool for courses in computational techniques in certain fields of physics and electrical engineering. As a self-contained text, it presents an extensive coverage of the most important concepts from Maxwells equations to computer-solvable algebraic systems-- for both static, quasi-static, and harmonic high-frequency problems.BenefitsTo the EngineerA sound background necessary not only to understand the principles behind variational methods and finite elements, but also to design pertinent and well-structured software.To the Specialist in Numerical ModelingThe book offers new perspectives of practical importance on classical issues: the underlying symmetry of Maxwell equations, their interaction with other fields of physics in real-life modeling, the benefits of edge and face elements, approaches to error analysis, and "complementarity."To the TeacherAn expository strategy that will allow you to guide the student along a safe and easy route through otherwise difficult concepts: weak formulations and their relation to fundamental conservation principles of physics, functional spaces, Hilbert spaces, approximation principles, finite elements, and algorithms for solving linear systems. At a higher level, the book provides a concise and self-contained introduction to edge elements and their application to mathematical modeling of the basic electromagnetic phenomena, and static problems, such as eddy-current problems and microwaves in cavities.To the StudentSolved exercises, with "hint" and "full solution" sections, will both test and enhance the understanding of the material. Numerous illustrations will help in grasping difficult mathematical concepts.

Fully Implicit Particle in Cell Algorithm for Electromagnetic Plasma Simulations

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Fully Implicit Particle in Cell Algorithm for Electromagnetic Plasma Simulations by :

Download or read book Fully Implicit Particle in Cell Algorithm for Electromagnetic Plasma Simulations written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electromagnetic ''particle-in-cell'' Plasma Simulation

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (727 download)

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Book Synopsis Electromagnetic ''particle-in-cell'' Plasma Simulation by :

Download or read book Electromagnetic ''particle-in-cell'' Plasma Simulation written by and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ''PIC'' simulation tracks particles through electromagnetic fields calculated self-consistently from the charge and current densities of the particles themselves, external sources, and boundaries. Already used extensively in plasma physics, such simulations have become useful in the design of accelerators and their r.f. sources. 5 refs.

A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov-Darwin Particle-in-cell Algorithm

Author :
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (962 download)

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Book Synopsis A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov-Darwin Particle-in-cell Algorithm by :

Download or read book A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov-Darwin Particle-in-cell Algorithm written by and published by . This book was released on 2015 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: For decades, the Vlasov-Darwin model has been recognized to be attractive for particle-in-cell (PIC) kinetic plasma simulations in non-radiative electromagnetic regimes, to avoid radiative noise issues and gain computational efficiency. However, the Darwin model results in an elliptic set of field equations that renders conventional explicit time integration unconditionally unstable. We explore a fully implicit PIC algorithm for the Vlasov-Darwin model in multiple dimensions, which overcomes many difficulties of traditional semi-implicit Darwin PIC algorithms. The finite-difference scheme for Darwin field equations and particle equations of motion is space-time-centered, employing particle sub-cycling and orbit-averaging. This algorithm conserves total energy, local charge, canonical-momentum in the ignorable direction, and preserves the Coulomb gauge exactly. An asymptotically well-posed fluid preconditioner allows efficient use of large cell sizes, which are determined by accuracy considerations, not stability, and can be orders of magnitude larger than required in a standard explicit electromagnetic PIC simulation. Finally, we demonstrate the accuracy and efficiency properties of the algorithm with various numerical experiments in 2D-3V.

Mesh Refinement for Particle-In-Cell Plasma Simulations

Author :
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (684 download)

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Book Synopsis Mesh Refinement for Particle-In-Cell Plasma Simulations by :

Download or read book Mesh Refinement for Particle-In-Cell Plasma Simulations written by and published by . This book was released on 2002 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical simulation of the driving beams in a heavy ion fusion power plant is a challenging task, and simulation of the power plant as a whole, or even of the driver, is not yet possible. Despite the rapid progress in computer power, past and anticipated, one must consider the use of the most advanced numerical techniques, if we are to reach our goal expeditiously. One of the difficulties of these simulations resides in the disparity of scales, in time and in space, which must be resolved. When these disparities are in distinctive zones of the simulation region, a method which has proven to be effective in other areas (e.g., fluid dynamics simulations) is the mesh refinement technique. They discuss the challenges posed by the implementation of this technique into plasma simulations (due to the presence of particles and electromagnetic waves). They will present the prospects for and projected benefits of its application to heavy ion fusion. In particular to the simulation of the ion source and the final beam propagation in the chamber. A collaboration project is under way at LBNL between the Applied Numerical Algorithms Group (ANAG) and the HIF group to couple the Adaptive Mesh Refinement (AMR) library (CHOMBO) developed by the ANAG group to the Particle-In-Cell accelerator code WARP developed by the HIF-VNL. They describe their progress and present their initial findings.

A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov{u2013}Darwin Particle-in-cell Algorithm

Download A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov{u2013}Darwin Particle-in-cell Algorithm PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov{u2013}Darwin Particle-in-cell Algorithm by :

Download or read book A Multi-dimensional, Energy- and Charge-conserving, Nonlinearly Implicit, Electromagnetic Vlasov{u2013}Darwin Particle-in-cell Algorithm written by and published by . This book was released on 2015 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: For decades, the Vlasov–Darwin model has been recognized to be attractive for particle-in-cell (PIC) kinetic plasma simulations in non-radiative electromagnetic regimes, to avoid radiative noise issues and gain computational efficiency. However, the Darwin model results in an elliptic set of field equations that renders conventional explicit time integration unconditionally unstable. We explore a fully implicit PIC algorithm for the Vlasov–Darwin model in multiple dimensions, which overcomes many difficulties of traditional semi-implicit Darwin PIC algorithms. The finite-difference scheme for Darwin field equations and particle equations of motion is space–time-centered, employing particle sub-cycling and orbit-averaging. This algorithm conserves total energy, local charge, canonical-momentum in the ignorable direction, and preserves the Coulomb gauge exactly. An asymptotically well-posed fluid preconditioner allows efficient use of large cell sizes, which are determined by accuracy considerations, not stability, and can be orders of magnitude larger than required in a standard explicit electromagnetic PIC simulation. Finally, we demonstrate the accuracy and efficiency properties of the algorithm with various numerical experiments in 2D–3V.

Three Dimensional Electromagnetic Particle Simulation of Fusion Plasmas

Author : Dale Edwin Nielsen
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Three Dimensional Electromagnetic Particle Simulation of Fusion Plasmas by : Dale Edwin Nielsen

Download or read book Three Dimensional Electromagnetic Particle Simulation of Fusion Plasmas written by Dale Edwin Nielsen and published by . This book was released on 1979 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Full Electromagnetic Particle-in-Cell Code To Model Collision-less Plasmas in Magnetic Traps

Author : E. A. Orozco
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis A Full Electromagnetic Particle-in-Cell Code To Model Collision-less Plasmas in Magnetic Traps by : E. A. Orozco

Download or read book A Full Electromagnetic Particle-in-Cell Code To Model Collision-less Plasmas in Magnetic Traps written by E. A. Orozco and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lot of plasma physics problems are not amenable to exact solutions due to many reasons. It is worth mentioning among them, for example, nonlinearity of the motion equations, variable coefficients or non lineal conditions on known or unknown borders. To solve these problems, different types of approximations which are combinations of analytical and numerical simulation methods are put into practice. The problem of plasma behavior in numerous varieties of a minimum-B magnetic trap where the plasma is heated under electron cyclotron resonance (ECR) conditions is the subject of numerical simulation studies. At present, the ECR minimum-B trap forms the principal part of the multi-charge ion sources.There are different numerical methods to model plasmas. Depending of both temperature and concentration, these can be classified in three main groups: fluid models, kinetic models and hybrid models. The fluid models are the most simple way to describe the plasma from macroscopic quantities, which are used for the study of highly collisional plasmas where the mean free path is much smaller than size of plasma (l_mfp “ L). The kinetic models are the most fundamental way to describe plasmas through the distribution function in phase-space for each particle specie; which are used for the study of weakly collisional (l_mfp ∼ L) or collision-less plasmas (l_mfp ” L) from the solution of the Boltzmann or Vlasov equation, respectively [2]. For kinetic simulations there are different method to solve the Boltzmann or Vlasov equation, being the Particle-In-Cell (PIC) codes one the most popular. The hybrid model combine both the fluid and kinetic models, treating some components of the system as a fluid, and others kinetically; which are used for the study of plasmas, may use the PIC method for the kinetic treatment of some species, while other species (that are Maxwellian) are simulated with a fluid model.In this work, a scheme of the relativistic Particle-in-Cell (PIC) code elaborated for an ECR plasma heating study in minimum-B traps is presented. For a PIC numerical simulation, the code is applied to an ECR plasma confined in a minimum-B trap formed by two current coils generating a mirror magnetic configuration and a hexapole permanent magnetic bars to suppress the MHD instabilities.The plasma is maintained in a cylindrical chamber excited at TE_111 mode by 2.45 GHz microwave power. In the obtained magnetostatic field, the ECR conditions are fulfilled on a closed surface of ellipsoidal type. Initially, a Maxwellian homogeneous plasma from ionic temperature of 2 eV being during 81.62 ns, that correspond to 200 cycles of microwaves with an amplitude in the electric field of 1 kV/cm is heated. The electron population can be divided conditionally into a cold group of energies smaller than 0.2 keV, a warm group whose energies are in a range of 3 - 10 keV and hot electrons whose energies are found higher than 10 keV.

Space Plasma Simulation

Author : Jörg Büchner
Publisher : Springer Science & Business Media
ISBN 13 : 3540006982
Total Pages : 363 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Space Plasma Simulation by : Jörg Büchner

Download or read book Space Plasma Simulation written by Jörg Büchner and published by Springer Science & Business Media. This book was released on 2003-04-09 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is twofold: to provide an introduction for newcomers to state of the art computer simulation techniques in space plasma physics and an overview of current developments. Computer simulation has reached a stage where it can be a highly useful tool for guiding theory and for making predictions of space plasma phenomena, ranging from microscopic to global scales. The various articles are arranged, as much as possible, according to the - derlying simulation technique, starting with the technique that makes the least number of assumptions: a fully kinetic approach which solves the coupled set of Maxwell’s equations for the electromagnetic ?eld and the equations of motion for a very large number of charged particles (electrons and ions) in this ?eld. Clearly, this is also the computationally most demanding model. Therefore, even with present day high performance computers, it is the most restrictive in terms of the space and time domain and the range of particle parameters that can be covered by the simulation experiments. It still makes sense, therefore, to also use models, which due to their simp- fying assumptions, seem less realistic, although the e?ect of these assumptions on the outcome of the simulation experiments needs to be carefully assessed.

Fully Implicit Particle-in-cell Algorithms for Kinetic Simulation of Plasmas

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Fully Implicit Particle-in-cell Algorithms for Kinetic Simulation of Plasmas by :

Download or read book Fully Implicit Particle-in-cell Algorithms for Kinetic Simulation of Plasmas written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space and Astrophysical Plasma Simulation

Author : Jörg Büchner
Publisher : Springer Nature
ISBN 13 : 3031118707
Total Pages : 427 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Space and Astrophysical Plasma Simulation by : Jörg Büchner

Download or read book Space and Astrophysical Plasma Simulation written by Jörg Büchner and published by Springer Nature. This book was released on 2023-03-01 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of contributions covering the major subjects in numerical simulation of space and astrophysical plasma. It introduces the different approaches and methods to model plasma, the necessary computational codes, and applications in the field. The book is rooted in the previous work Space Plasma Simulation (Springer, 2003) and includes the latest developments. It is divided into three parts and all chapters start with an introduction motivating the topic and its use in research and ends with a discussion of its applications. The chapters of the first part contain tutorials of the different basic approaches needed to perform space plasma simulations. This part is particularly useful for graduate students to master the subject. The second part presents more advanced materials for students and researchers who already work with pre-existing codes but want to implement the recent progresses made in the field. The last part of the book discusses developments in the area for researchers who are actively working on advanced simulation approaches like higher order schemes and artificial intelligence, agent-based technologies for multiscale and multi-dimensional systems, which represent the recent innovative contributions made in space plasma research.

Application of Adaptive Mesh Refinement to Particle-in-cell Simulations of Plasmas and Beams

Author : A. Friedman
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis Application of Adaptive Mesh Refinement to Particle-in-cell Simulations of Plasmas and Beams by : A. Friedman

Download or read book Application of Adaptive Mesh Refinement to Particle-in-cell Simulations of Plasmas and Beams written by A. Friedman and published by . This book was released on 2003 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasma simulations are often rendered challenging by the disparity of scales in time and in space which must be resolved. When these disparities are in distinctive zones of the simulation domain, a method which has proven to be effective in other areas (e.g. fluid dynamics simulations) is the mesh refinement technique. We briefly discuss the challenges posed by coupling this technique with plasma Particle-In-Cell simulations, and present examples of application in Heavy Ion Fusion and related fields which illustrate the effectiveness of the approach. We also report on the status of a collaboration under way at Lawrence Berkeley National Laboratory between the Applied Numerical Algorithms Group (ANAG) and the Heavy Ion Fusion group to upgrade ANAG's mesh refinement library Chombo to include the tools needed by Particle-In-Cell simulation codes.

OBJECTIVE:Object-Oriented Formulations of Particle-in-Cell (PIC) Plasma Simulations

Author :
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis OBJECTIVE:Object-Oriented Formulations of Particle-in-Cell (PIC) Plasma Simulations by :

Download or read book OBJECTIVE:Object-Oriented Formulations of Particle-in-Cell (PIC) Plasma Simulations written by and published by . This book was released on 1996 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object-oriented paradigm provides an opportunity for advanced PI C modeling, increased flexibility, and extensibility. Particle-in-cell codes for simulating plasmas are traditionally written in structured FORTRAN or C. This has resulted in large legacy codes that are difficult to maintain and extend with new models. In this ongoing research, we apply the object oriented design technique to address these issues. The resulting code architecture, OOPIC (Object-Oriented Particle-in-Cell). is a two-dimensional (x-y, r-z) relativistic electromagnetic/electrostatic PIC-MCC (particle-in-cell, Monte Carlo collisions) plasma simulation. OOPIC includes a growing number of boundary conditions, and can model complicated configurations, including internal structures, without recompilation. it is available to models from DC and RF discharges to high power microwave tubes.

Computer Simulation Using Particles

Author : R.W Hockney
Publisher : CRC Press
ISBN 13 : 9781439822050
Total Pages : 566 pages
Book Rating : 4.8/5 (22 download)

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Book Synopsis Computer Simulation Using Particles by : R.W Hockney

Download or read book Computer Simulation Using Particles written by R.W Hockney and published by CRC Press. This book was released on 2021-03-24 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer simulation of systems has become an important tool in scientific research and engineering design, including the simulation of systems through the motion of their constituent particles. Important examples of this are the motion of stars in galaxies, ions in hot gas plasmas, electrons in semiconductor devices, and atoms in solids and liquids. The behavior of the system is studied by programming into the computer a model of the system and then performing experiments with this model. New scientific insight is obtained by observing such computer experiments, often for controlled conditions that are not accessible in the laboratory. Computer Simulation using Particles deals with the simulation of systems by following the motion of their constituent particles. This book provides an introduction to simulation using particles based on the NGP, CIC, and P3M algorithms and the programming principles that assist with the preparations of large simulation programs based on the OLYMPUS methodology. It also includes case study examples in the fields of astrophysics, plasmas, semiconductors, and ionic solids as well as more detailed mathematical treatment of the models, such as their errors, dispersion, and optimization. This resource will help you understand how engineering design can be assisted by the ability to predict performance using the computer model before embarking on costly and time-consuming manufacture.