An Advanced EM-Plasma simulator based on the DGTD algorithm with dynamic adaptation and multirate time integration techniques

Su Yan, Jiwei Qian, Jianming Jin

Research output: Contribution to journalArticle

Abstract

In a numerical simulation of the interactions between high-intensity electromagnetic (EM) waves and plasma fluids, a good numerical resolution is required for all the physical quantities of interest, especially the plasma density distribution around the edge of the plasma bulk. Since the plasma formation and evolution is a dynamic process, it is difficult to predetermine the appropriate resolution at a given location. In this paper, we describe a discontinuous Galerkin time-domain (DGTD) based dynamic adaptation algorithm, which is able to adjust either the local mesh size or the local polynomial order in real time of a simulation to provide a sufficient numerical resolution of the physics while keeping the total computational cost low. To alleviate the constraint of the time step size of an explicit time integrator, a multirate time integration method is employed to advance the physics in time, which permits the application of different time step sizes in elements with different sizes or polynomial orders. With these techniques, the DGTD simulation of EM-plasma interactions can achieve a good accuracy and high efficiency.

Original languageEnglish (US)
Article number8651513
Pages (from-to)76-87
Number of pages12
JournalIEEE Journal on Multiscale and Multiphysics Computational Techniques
Volume4
DOIs
StatePublished - Jan 1 2019

Fingerprint

Dynamic Adaptation
Discontinuous Galerkin
Time Integration
simulators
Time Domain
Simulator
Plasma
Simulators
electromagnetism
Plasmas
Physics
Polynomials
Plasma interactions
Plasma density
Electromagnetic waves
plasma-electromagnetic interaction
Local Polynomial
Dynamic Process
polynomials
Electromagnetic Wave

Keywords

  • Discontinuous Galerkin time-domain (DGTD) method
  • dynamic adaptation
  • electromagnetic-plasma interaction
  • high-order method
  • high-power microwave (HPM)
  • multirate time integration

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Computational Mathematics

Cite this

@article{64bd8022c4214eccb6030cb035cae44c,
title = "An Advanced EM-Plasma simulator based on the DGTD algorithm with dynamic adaptation and multirate time integration techniques",
abstract = "In a numerical simulation of the interactions between high-intensity electromagnetic (EM) waves and plasma fluids, a good numerical resolution is required for all the physical quantities of interest, especially the plasma density distribution around the edge of the plasma bulk. Since the plasma formation and evolution is a dynamic process, it is difficult to predetermine the appropriate resolution at a given location. In this paper, we describe a discontinuous Galerkin time-domain (DGTD) based dynamic adaptation algorithm, which is able to adjust either the local mesh size or the local polynomial order in real time of a simulation to provide a sufficient numerical resolution of the physics while keeping the total computational cost low. To alleviate the constraint of the time step size of an explicit time integrator, a multirate time integration method is employed to advance the physics in time, which permits the application of different time step sizes in elements with different sizes or polynomial orders. With these techniques, the DGTD simulation of EM-plasma interactions can achieve a good accuracy and high efficiency.",
keywords = "Discontinuous Galerkin time-domain (DGTD) method, dynamic adaptation, electromagnetic-plasma interaction, high-order method, high-power microwave (HPM), multirate time integration",
author = "Su Yan and Jiwei Qian and Jianming Jin",
year = "2019",
month = "1",
day = "1",
doi = "10.1109/JMMCT.2019.2901533",
language = "English (US)",
volume = "4",
pages = "76--87",
journal = "IEEE Journal on Multiscale and Multiphysics Computational Techniques",
issn = "2379-8793",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - An Advanced EM-Plasma simulator based on the DGTD algorithm with dynamic adaptation and multirate time integration techniques

AU - Yan, Su

AU - Qian, Jiwei

AU - Jin, Jianming

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In a numerical simulation of the interactions between high-intensity electromagnetic (EM) waves and plasma fluids, a good numerical resolution is required for all the physical quantities of interest, especially the plasma density distribution around the edge of the plasma bulk. Since the plasma formation and evolution is a dynamic process, it is difficult to predetermine the appropriate resolution at a given location. In this paper, we describe a discontinuous Galerkin time-domain (DGTD) based dynamic adaptation algorithm, which is able to adjust either the local mesh size or the local polynomial order in real time of a simulation to provide a sufficient numerical resolution of the physics while keeping the total computational cost low. To alleviate the constraint of the time step size of an explicit time integrator, a multirate time integration method is employed to advance the physics in time, which permits the application of different time step sizes in elements with different sizes or polynomial orders. With these techniques, the DGTD simulation of EM-plasma interactions can achieve a good accuracy and high efficiency.

AB - In a numerical simulation of the interactions between high-intensity electromagnetic (EM) waves and plasma fluids, a good numerical resolution is required for all the physical quantities of interest, especially the plasma density distribution around the edge of the plasma bulk. Since the plasma formation and evolution is a dynamic process, it is difficult to predetermine the appropriate resolution at a given location. In this paper, we describe a discontinuous Galerkin time-domain (DGTD) based dynamic adaptation algorithm, which is able to adjust either the local mesh size or the local polynomial order in real time of a simulation to provide a sufficient numerical resolution of the physics while keeping the total computational cost low. To alleviate the constraint of the time step size of an explicit time integrator, a multirate time integration method is employed to advance the physics in time, which permits the application of different time step sizes in elements with different sizes or polynomial orders. With these techniques, the DGTD simulation of EM-plasma interactions can achieve a good accuracy and high efficiency.

KW - Discontinuous Galerkin time-domain (DGTD) method

KW - dynamic adaptation

KW - electromagnetic-plasma interaction

KW - high-order method

KW - high-power microwave (HPM)

KW - multirate time integration

UR - http://www.scopus.com/inward/record.url?scp=85062156066&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062156066&partnerID=8YFLogxK

U2 - 10.1109/JMMCT.2019.2901533

DO - 10.1109/JMMCT.2019.2901533

M3 - Article

AN - SCOPUS:85062156066

VL - 4

SP - 76

EP - 87

JO - IEEE Journal on Multiscale and Multiphysics Computational Techniques

JF - IEEE Journal on Multiscale and Multiphysics Computational Techniques

SN - 2379-8793

M1 - 8651513

ER -