This paper is concerned with analysis and applications of geometry-grid generation methodologies for internal flow configurations. Weighted transfinite interpolation technique is combined with cubic splines and Bezier...
This paper is concerned with analysis and applications of geometry-grid generation methodologies for internal flow configurations. Weighted transfinite interpolation technique is combined with cubic splines and Bezier curves to accomplish well-distributed zonal grids. The concept of surface distribution mesh and volume distribution mesh is presented and its natural application to adaptive grids is developed. Grid refinement algorithms are developed using applications of elliptic grid systems. Various computational examples of practical interest are presented.
Discusses a householder factorization algorithm for a special type of matrix arising from the application of the Tikhnov regularization method to an ill-conditioned least square problem. The matrix involved is half de...
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Discusses a householder factorization algorithm for a special type of matrix arising from the application of the Tikhnov regularization method to an ill-conditioned least square problem. The matrix involved is half dense and half sparse. The algorithm has been implemented on iPSC/860 hypercubes. By overlapping communications with computations, the code has been optimized to take advantage of the special structure of the matrix and minimize inter-node communications. Super-linear speed-up was observed in the numerical experiment for large problems. The algorithm has been used as a core routine in the program solving parameter identification problems in reservoir simulations.< >
A straightforward and effective procedure for the conversion of any CFD flow code that operates on a block-structured grid (or single-block grid) into a dynamically adaptive code is presented. The development and appl...
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