A tensor product B-spline method for numerical grid generation

Journal Article · Wed Sep 01 04:00:00 EDT 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1159· OSTI ID:7283529

Manke, J W ^[1]

---

1. Boeing Computer Services Co., Seattle, WA (United States)

The author presents a numerical grid generation method in which the Cartesian coordinate functions are expanded in tensor product B-spline basis functions and collocation is used to solve the elliptic grid generation equations. The efficiency of the method derives from the fact that the smoothness of the basis functions is exploited to compute fine grids in the physical domain over a coarse set of knots in the computational domain. The author formulates the tensor product B-spline method, investigate its computational complexity and compare its performance to the finite difference method for several 2D grids. The author shows that for comparable grids the computational cost of the tensor product B-spline method is less than the cost of the finite difference method. 4 refs., 14 figs.

• OSTI ID: 7283529
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 108:1; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
EVALUATION
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
MESH GENERATION
NUMERICAL SOLUTION
SIMULATION