NESC9680 POSSOL.

POSSOL, 2-D Poisson Equation Solver for Nonuniform Grid

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: POSSOL.

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2. COMPUTERS

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Program name	Package id	Status	Status date
POSSOL	NESC9680/01	Tested	27-SEP-1988

Machines used:

Package ID	Orig. computer	Test computer
NESC9680/01	CRAY 1	CRAY X-MP

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3. DESCRIPTION OF PROGRAM OR FUNCTION

POSSOL is a two-dimensional Poisson equation solver for problems with arbitrary non-uniform gridding in Cartesian coordinates. It is an adaptation of the uniform grid PWSCRT routine developed by Schwarztrauber and Sweet at the National Center for Atmospheric Research (NCAR).

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4. METHOD OF SOLUTION

POSSOL will solve the Helmholtz equation on an arbitrary, non-uniform grid on a rectangular domain allowing only one type of boundary condition on any one side. It can also be used to handle more than one type of boundary condition on a side by means of a capacitance matrix technique. There are three types of boundary conditions that can be applied: fixed, derivative, or periodic.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:

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6. TYPICAL RUNNING TIME:

NESC9680/01

The test programs included in this package have been executed at the NEA-DB on a CRAY-XMP/2800 computer in 2 minutes of CPU time.

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7. UNUSUAL FEATURES OF THE PROGRAM:

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8. RELATED AND AUXILIARY PROGRAMS

The two sample problems call some library routines unique to the LLNL computing environment; these are not included. LINPACK routines are used in place of the author's original DEC/SOL combination to solve the capacitance matrix equation.

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9. STATUS

Package ID	Status date	Status
NESC9680/01	27-SEP-1988	Tested at NEADB

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10. REFERENCES

- P. Schwarztrauber and R. Sweet
Efficient FORTRAN Subprograms for the Solution of Elliptic Partial    Differential Equations,
  NCAR/TN-109+IA, July 1975.
- N.K. Madsen
  An Application of a Capacitance Matrix Technique to Expand the
  Usefulness of a PDE Software Package, Technical Memorandum 77-3,
  Numerical Mathematics Group,
  Lawrence Livermore National Laboratory, February 1977.

NESC9680/01, included references:

- William J. Orvis:
POSSOL Poisson Equation Solver
UCID-20539 (August 1985)

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11. MACHINE REQUIREMENTS:

NESC9680/01

Main storage requirements on CRAY-XMP/2800: 154,000 words.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NESC9680/01	FORTRAN

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:

NESC9680/01

COS 1.15 with compiler CFT 1.14 (CRAY-XMP/2800).

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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15. NAME AND ESTABLISHMENT OF AUTHORS

          W.J. Orvis
          Lawrence Livermore National Laboratory
          P.O. Box 808
          Livermore, California

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16. MATERIAL AVAILABLE

NESC9680/01

File name	File description	Records
NESC9680_01.001	Information file	51
NESC9680_01.002	JCL and control information	28
NESC9680_01.003	POSSOL FORTRAN source	2203
NESC9680_01.004	Dummy routines	9
NESC9680_01.005	Sample problem 1 FORTRAN source	117
NESC9680_01.006	Sample problem 2 FORTRAN source	735
NESC9680_01.007	Sample problem 1 output	5736
NESC9680_01.008	Sample problem 2 output	4264

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17. CATEGORIES

P. General Mathematical and Computing System Routines

Keywords: nonlinear problems, poisson equation, two-dimensional.