A message passing finite volume algorithm for Maxwell’s equations on parallel machines

Vineet Ahuja, Lyle N. Long

Research output: Contribution to conferencePaper

Abstract

A zonal approach to solving the Maxwell’s equations for generalized body conformal curvilinear grids on parallel computers is presented. The 3-D finite volume algorithm is explicit in nature and is especially suited for the message passing paradigm. It utilizes a four stage Runge-Kutta time integration method. Integration of the Maxwell’s equations is carried out on a dual grid wherein the electric and magnetic field quantities are evaluated on different grids. Each zone is placed on a separate processor and inter-processor communication is carried out using the Message Passing Library (MPL). The algorithm has been successfully tested on the SP-2 in solving scattering problems of electromagnetic waves from various targets. RCS results are presented for the problem of scattering from a perfectly conducting sphere and a perfectly conducting ogive. These results are in extremely good agreement with the exact solution and with results obtained with a standard finite difference time domain code. Qualitative results are also provided for scattering from metallic trapezoidal wing, and an aircraft engine. The formulation used in this case is for the scattered field and the Liao boundary condition is used at the outer non-reflecting boundary. The far zone transformation has also been implemented efficiently to evaluate the far zone scattering results.

Original languageEnglish (US)
StatePublished - Jan 1 1995
Event26th Plasmadynamics and Lasers Conference, 1995 - San Diego, United States
Duration: Jun 19 1995Jun 22 1995

Other

Other26th Plasmadynamics and Lasers Conference, 1995
CountryUnited States
CitySan Diego
Period6/19/956/22/95

Fingerprint

Message passing
Maxwell equations
Scattering
Aircraft engines
Electromagnetic waves
Electric fields
Boundary conditions
Magnetic fields
Communication

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Ahuja, V., & Long, L. N. (1995). A message passing finite volume algorithm for Maxwell’s equations on parallel machines. Paper presented at 26th Plasmadynamics and Lasers Conference, 1995, San Diego, United States.
Ahuja, Vineet ; Long, Lyle N. / A message passing finite volume algorithm for Maxwell’s equations on parallel machines. Paper presented at 26th Plasmadynamics and Lasers Conference, 1995, San Diego, United States.
@conference{770f8e2400c848cf978105376898733b,
title = "A message passing finite volume algorithm for Maxwell’s equations on parallel machines",
abstract = "A zonal approach to solving the Maxwell’s equations for generalized body conformal curvilinear grids on parallel computers is presented. The 3-D finite volume algorithm is explicit in nature and is especially suited for the message passing paradigm. It utilizes a four stage Runge-Kutta time integration method. Integration of the Maxwell’s equations is carried out on a dual grid wherein the electric and magnetic field quantities are evaluated on different grids. Each zone is placed on a separate processor and inter-processor communication is carried out using the Message Passing Library (MPL). The algorithm has been successfully tested on the SP-2 in solving scattering problems of electromagnetic waves from various targets. RCS results are presented for the problem of scattering from a perfectly conducting sphere and a perfectly conducting ogive. These results are in extremely good agreement with the exact solution and with results obtained with a standard finite difference time domain code. Qualitative results are also provided for scattering from metallic trapezoidal wing, and an aircraft engine. The formulation used in this case is for the scattered field and the Liao boundary condition is used at the outer non-reflecting boundary. The far zone transformation has also been implemented efficiently to evaluate the far zone scattering results.",
author = "Vineet Ahuja and Long, {Lyle N.}",
year = "1995",
month = "1",
day = "1",
language = "English (US)",
note = "26th Plasmadynamics and Lasers Conference, 1995 ; Conference date: 19-06-1995 Through 22-06-1995",

}

Ahuja, V & Long, LN 1995, 'A message passing finite volume algorithm for Maxwell’s equations on parallel machines' Paper presented at 26th Plasmadynamics and Lasers Conference, 1995, San Diego, United States, 6/19/95 - 6/22/95, .

A message passing finite volume algorithm for Maxwell’s equations on parallel machines. / Ahuja, Vineet; Long, Lyle N.

1995. Paper presented at 26th Plasmadynamics and Lasers Conference, 1995, San Diego, United States.

Research output: Contribution to conferencePaper

TY - CONF

T1 - A message passing finite volume algorithm for Maxwell’s equations on parallel machines

AU - Ahuja, Vineet

AU - Long, Lyle N.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - A zonal approach to solving the Maxwell’s equations for generalized body conformal curvilinear grids on parallel computers is presented. The 3-D finite volume algorithm is explicit in nature and is especially suited for the message passing paradigm. It utilizes a four stage Runge-Kutta time integration method. Integration of the Maxwell’s equations is carried out on a dual grid wherein the electric and magnetic field quantities are evaluated on different grids. Each zone is placed on a separate processor and inter-processor communication is carried out using the Message Passing Library (MPL). The algorithm has been successfully tested on the SP-2 in solving scattering problems of electromagnetic waves from various targets. RCS results are presented for the problem of scattering from a perfectly conducting sphere and a perfectly conducting ogive. These results are in extremely good agreement with the exact solution and with results obtained with a standard finite difference time domain code. Qualitative results are also provided for scattering from metallic trapezoidal wing, and an aircraft engine. The formulation used in this case is for the scattered field and the Liao boundary condition is used at the outer non-reflecting boundary. The far zone transformation has also been implemented efficiently to evaluate the far zone scattering results.

AB - A zonal approach to solving the Maxwell’s equations for generalized body conformal curvilinear grids on parallel computers is presented. The 3-D finite volume algorithm is explicit in nature and is especially suited for the message passing paradigm. It utilizes a four stage Runge-Kutta time integration method. Integration of the Maxwell’s equations is carried out on a dual grid wherein the electric and magnetic field quantities are evaluated on different grids. Each zone is placed on a separate processor and inter-processor communication is carried out using the Message Passing Library (MPL). The algorithm has been successfully tested on the SP-2 in solving scattering problems of electromagnetic waves from various targets. RCS results are presented for the problem of scattering from a perfectly conducting sphere and a perfectly conducting ogive. These results are in extremely good agreement with the exact solution and with results obtained with a standard finite difference time domain code. Qualitative results are also provided for scattering from metallic trapezoidal wing, and an aircraft engine. The formulation used in this case is for the scattered field and the Liao boundary condition is used at the outer non-reflecting boundary. The far zone transformation has also been implemented efficiently to evaluate the far zone scattering results.

UR - http://www.scopus.com/inward/record.url?scp=84963571349&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963571349&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84963571349

ER -

Ahuja V, Long LN. A message passing finite volume algorithm for Maxwell’s equations on parallel machines. 1995. Paper presented at 26th Plasmadynamics and Lasers Conference, 1995, San Diego, United States.