Exact integrations of polynomials and high-order quadratures for finite-volume methods with arbitrary polyhedral grids

13th Computational Fluid Dynamics Conference

Volumn , Issue , 1997, Pages 506-516

  Liu, Yen ^a   Vinokur, Marcel ^a  

^a NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FINITE VOLUME METHOD; FLUID DYNAMICS; FUNCTIONS; GEOMETRY; TENSORS;

CARTESIAN COORDINATE; DEGREE OF PRECISION; FUNDAMENTAL DOMAIN; POLYNOMIAL BASIS FUNCTIONS; QUADRATURE APPROXIMATIONS; RELATIVE EFFICIENCY; SPATIAL DISCRETIZATIONS; STRAIGHT-LINE SEGMENTS;

POLYNOMIALS;

EID: 84982318055     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (7)

1. A. H. Stroud, Approximate Calculation of Multiple Integrals, (Prentice-Hall, New Jersey, 1971)
2. A. Grundmann and H. M. Möller, “Invariant Integration Formulas for the n-Simplex by Combinatorial Methods,” SIAM J. Numer. Anal. 15(2), 282 (1978)
3. G. R. Cowper, “Gaussian Quadrature Formulas for Triangle,” Int. J. Num. Meth. Eng. 7, 405 (1973)
4. J. N. Lyness and D. Jespersen, “Moderate Degree Symmetric Quadrature Rules for the Triangle,” J. Inst. Maths. Applies 15, 19 (1975)
5. J. Yu, “Symmetric Gaussian Quadrature Formulae for Tetrahedronal Regions”, Comput. Meth. Appl. Mech. Eng. 43, 349 (1984)
6. P. Keast, “Moderate-Degree Tetrahedral Quadrature Formulas,” Comput. Meth. Appl. Mech. Eng. 55, 339 (1986)
7. Y. Liu and M. Vinokur, “Exact Integrations of Polynomials and Symmetric Quadrature Formulas over Arbitrary Polyhedral Grids,” NASA TM (to appear), (1997)