In this paper, a new algorithm of approximating rational triangular B-B surfaces using polynomial triangular B-B surfaces is presented. This algorithm has a simple expression and insured convergence. The core idea of the algorithm is to yield a polynomial triangular B-B surface, which has the same degree and new control vertices of the degree-elevated rational triangular B-B surface, to approxi...

Abstract Improvement of the operating range compressors will help power and energy plant to work more flexibly integrate with other generation systems. The stall, rotating resulting surge are most dominant limiting phenomenon in axial compressor envelop. Several active passive methods have been employed eliminate occurring these phenomena extend compressors’ stable range. Among these, casing tr...

the star-mesh transformation allows the reduction of nodes in an electrical circuit. the gauss elimination method allows the reduction of unknowns in a system of linear equations . triangular decomposition can be used to find the inverse of a matrix. in this paper the coherence between these methods are discussed. it is shown that the gauss elimination method gives the same formula for star-mes...

Multi-shift triangular solves are basic linear algebra calculations with applications in eigenvector and pseudospectra computation. We propose blocked algorithms that efficiently exploit Level 3 BLAS to perform multishift triangular solves and safe multi-shift triangular solves. Numerical experiments indicate that computing triangular eigenvectors with a safe multi-shift triangular solve achiev...

Numerical investigation was performed on a semi-model (one stay vane, two guide vanes, one runner passage inclusive of main and splitter blade, the draft tube) high-head Francis turbine model with adjustable vanes in tube. The motive present study is to investigate possibility mitigate rotating vortex rope (RVR) formed at part load operating condition. Each vane tube consists hydrofoils. upper ...