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NESC0577 FFEARS

FFEARS, Laplace Equation Boundary Value Problems with Dielectrics, X-Y-Z and Axisymmetric Geometry

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1. NAME OR DESIGNATION OF PROGRAM:  FFEARS
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2. COMPUTERS
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Program name Package id Status Status date
FFEARS NESC0577/01 Tested 01-MAY-1977
FFEARS NESC0577/02 Tested 21-JUL-1983

Machines used:

Package ID Orig. computer Test computer
NESC0577/01 IBM 370 series IBM 370 series
NESC0577/02 CDC CYBER 174 CDC CYBER 174
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3. DESCRIPTION OF PROBLEM OR FUNCTION

FFEARS is generally applicable  for the solution of boundary value problems involving the Laplace equation using difference equations in axisymmetric or rectangular coordinates. It will handle virtually any configuration of dielectrics and floating electrodes, producing both equipotential and equifield plots, if desired.
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4. METHOD OF SOLUTION

Basic relaxation techniques are used. The difference equations employed are derived from Laplace's equation for isotropic dielectrics. These are solved iteratively at all points within the electrode configuration except on the interfaces between materials of different dielectric constant. Dielectric interfaces are solved by a technique developed by C. N. Dorny (Letters, Proc. IEEE, Vol. 57, pp. 856-858). Floating electrodes are treated as special dielectrics.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

The program treats any rectangular or axisymmetric configuration of dielectrics and small floating electrodes that can be described by a matrix of up to 201 x 201 points. All electrode and dielectric surfaces must lie on  matrix points.
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6. TYPICAL RUNNING TIME

Solutions with errors of less than five percent are obtained in less than ten minutes.
NESC0577/02
NEA-DB executed the test case on CDC CYBER 174 in 652 CPU seconds.
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7. UNUSUAL FEATURES OF THE PROGRAM

A blowup routine permits the expansion and recomputation of sections of the plot to permit greater resolution.
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8. RELATED AND AUXILIARY PROGRAMS

This package is a modification of ALO-00262, transferred from the ALO-COSMIC collection.
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9. STATUS
Package ID Status date Status
NESC0577/01 01-MAY-1977 Tested at NEADB
NESC0577/02 21-JUL-1983 Tested at NEADB
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10. REFERENCES:
NESC0577/01, included references:
- J.E. Boers:
  FFEARS, A Digital Computer Program for the Simulation of Laplace
  Equation Including Dielectric Interfaces and Small Ungrounded
  Electrodes
  SC-RR-71 0377 (July 1971).
- FFEARS, ACC No. 577.360
  Argonne Code Center Programming Note 77-6 (November 22, 1976).
NESC0577/02, included references:
- J.E. Boers:
  FFEARS, A Digital Computer Program for the Simulation of Laplace
  Equation Including Dielectric Interfaces and Small Ungrounded
  Electrodes
  SC-RR-71 0377 (July 1971).
- Environmental Subroutines Required by FFEARS, ACC No. 577.6600B
  Argonne Code Center Programming Note 74-21, Rev. (November 18,
  1976).
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11. MACHINE REQUIREMENTS

The CDC6600 version requires 122,000 (octal)  words of memory, 12 files on disk storage, and a SC-4020 plotter. The IBM360 version requires 350K bytes to compile, 288K bytes to execute, 11 files on disk storage, and a CalComp plotter.
NESC0577/02
Execution of the test case on CDC CYBER 174 requires 160,000 octal words of main storage.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NESC0577/01 FORTRAN-IV
NESC0577/02 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED

SCOPE 3.3 (CDC6600), SCOPE 2.1 (CDC7600), OS/360 (IBM360), OS/370 (IBM370). NOS 1.4-531 (CDC CYBER 174).
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

Several subroutines and functions necessary to the operation of the plotting portion of the program are not included in the source deck. For the  CDC6600 version, they are a part of the standard SCORS plotter package for the SC-4020 plotter, and must be furnished by the user or replaced by equivalent locally-available subroutines. The IBM360  version uses standard CalComp plotting calls.
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15. NAME AND ESTABLISHMENT OF AUTHOR

   6600          J. E. Boers
                 Division 2354
                 Sandia Laboratories
                 P. O. Box 5800
                 Albuquerque, New Mexico  87115
   360           H. E. Edwards
                 National Energy Software Center
                 Argonne National Laboratory
                 9700 South Cass Avenue
                 Argonne, Illinois  60439
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16. MATERIAL AVAILABLE
NESC0577/01
File name File description Records
NESC0577_01.001 FFEARS SOURCE - FORTRAN IV EBCDIC 1690
NESC0577_01.002 FFEARS SAMPLE PROBLEM INPUT 259
NESC0577_01.003 FFEARS SAMPLE PROBLEM OUTPUT 4660
NESC0577_01.004 JOB CONTROL CARDS AND INFORMATION 45
NESC0577/02
File name File description Records
NESC0577_02.003 FFEARS INFORMATION FILE 18
NESC0577_02.004 FFEARS JCL 8
NESC0577_02.005 FFEARS SOURCE (FORTRAN-4) 1434
NESC0577_02.006 DUMMY SUBROUTINE 81
NESC0577_02.007 FFEARS INPUT FOR TEST CASE 258
NESC0577_02.008 FFEARS OUTPUT OF TEST CASE 4646
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17. CATEGORIES
  • P. General Mathematical and Computing System Routines

Keywords: Laplace equation, dielectric materials, electrodes.