Three-dimensional tensor-product, spline interpolation code (TPSIC). [In FORTRAN for CDC 7600 computer]

Technical Report · Mon Jan 19 04:00:00 EST 1976

OSTI ID:7285145

Anderson, D V

The one-dimensional, mth-order B-spline interpolation method originated by Schoenberg and developed by deBoor has been adapted for interpolation on multidimensional domains by Dickinson. A vector space of basis functions for the multidimensional domain is constructed by simple tensor product from the one-dimensional case. Use of the tensor product permits the efficient calculation of the interpolation coefficients that would otherwise be impracticable to perform. A very flexible data format is allowed in which derivatives or functional values may be used alternatively. Boundary conditions are not separately considered but are part of the general data supplied to the code. Results from the three-dimensional (3D) cubic spline interpolation of a known 5th-degree multinomial function on a grid are presented. The spline method used here is limited to orthogonal coordinate systems. One application of the code has been to interpolate the magnetic field (from a 3D grid) for various CTR plasma confinement applications. 2 figures

• Research Organization: California Univ., Livermore (USA). Lawrence Livermore Lab.
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7285145
• Report Number(s): UCRL-51958
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700202 -- Fusion Power Plant Technology-- Magnet Coils & Fields
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
CDC COMPUTERS
COMPUTER CODES
COMPUTERS
FORTRAN
INTERPOLATION
MAGNETIC FIELDS
NUMERICAL SOLUTION
PROGRAMMING LANGUAGES
T CODES
TENSORS
THERMONUCLEAR REACTORS
THREE-DIMENSIONAL CALCULATIONS