NDLI: A New Class of Nonlinear Finite-Volume Methods for Vlasov Simulation

Content Provider	IEEE Xplore Digital Library
Author	Banks, J.W. Hittinger, J.A.F.
Copyright Year	1973
Abstract	Methods for the numerical discretization of the Vlasov equation should efficiently use the phase-space discretization and should introduce only enough numerical dissipation to promote stability and control oscillations. A new high-order nonlinear finite-volume algorithm for the Vlasov equation that discretely conserves particle number and controls oscillations is presented. The method is fourth order in space and time in well-resolved regions but smoothly reduces to a third-order upwind scheme as features become poorly resolved. The new scheme is applied to several standard problems for the Vlasov-Poisson system, and the results are compared with those from other finite-volume approaches, including an artificial viscosity scheme and the piecewise parabolic method. It is shown that the new scheme is able to control oscillations while preserving a higher degree of fidelity of the solution than the other approaches.
Sponsorship	IEEE Nuclear and Plasma Sciences Society
Starting Page	2198
Ending Page	2207
Page Count	10
File Size	1096783
File Format	PDF
ISSN	00933813
Volume Number	38
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite volume methods Computational modeling Adaptive mesh refinement Stability Plasma simulation Nonlinear equations Computational efficiency Computer simulation Viscosity Vlasov equation Finite-volume methods plasma simulation
Content Type	Text
Resource Type	Article
Subject	Nuclear and High Energy Physics Condensed Matter Physics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A New Class of Non-Linear, Finite-Volume Methods for Vlasov Simulation

Six-Dimensional Adaptive Simulation of the Vlasov Equations Using a Hierarchical Basis

An adaptive MHD method for global space weather simulations

Numerical Solution of the Two-Dimensional Vlasov Equation

Comparison of Acceleration Methods in a Radiation Transport Code With Adaptive Mesh Refinement

3-D Simulation of Ion Thruster Plumes Using Octree Adaptive Mesh Refinement

Fuzzy Logic Adaptive Mesh Refinement for 3D Nonlinear Magnetostatic Problems Using Integral Equation Method

Streamer Simulations With Dynamically Adaptive Cartesian Mesh

A Full 3-D Dynamically Adaptive Unstructured Grid Finite-Volume Approach to Simulate Multiple Branching in Streamer Propagation

A New Class of Nonlinear Finite-Volume Methods for Vlasov Simulation

Similar Documents

A New Class of Non-Linear, Finite-Volume Methods for Vlasov Simulation

Six-Dimensional Adaptive Simulation of the Vlasov Equations Using a Hierarchical Basis

An adaptive MHD method for global space weather simulations

Numerical Solution of the Two-Dimensional Vlasov Equation

Comparison of Acceleration Methods in a Radiation Transport Code With Adaptive Mesh Refinement

3-D Simulation of Ion Thruster Plumes Using Octree Adaptive Mesh Refinement

Fuzzy Logic Adaptive Mesh Refinement for 3D Nonlinear Magnetostatic Problems Using Integral Equation Method

Streamer Simulations With Dynamically Adaptive Cartesian Mesh

A Full 3-D Dynamically Adaptive Unstructured Grid Finite-Volume Approach to Simulate Multiple Branching in Streamer Propagation

A New Class of Nonlinear Finite-Volume Methods for Vlasov Simulation