This article explains a new method for the estimation of curvature of plane curves and compares it with a method which has been presented in [2]. Both methods are based on global approximations of tangents by digital straight line segments. Experimental studies show that a replacement of global by local approximation results in errors which, in contrast to the global approximation, converge to ...

The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator.

Flows around an axisymmetric body of revolution at a zero yaw angle were studied using hybrid Reynolds-averaged Navier–Stokes (RANS)/large eddy simulation (LES) approach, which employed full Reynolds stress model (RSM) in the RANS branch with aim accounting for anisotropy, streamline curvature, and flow separations boundary layer. The SUBOFF without appendages was applied to conduct simulations...

For the preliminary design and the off-design performance analysis of axial flow turbines, a pair of intermediate level-of-fidelity computer codes, TD2-2 (design; reference 1) and AXOD (off-design; reference 2), are being evaluated for use in turbine design and performance prediction of the modern high performance aircraft engines. TD2-2 employs a streamline curvature method for design, while A...

The work in this paper concerns an analytical model for quantitatively describing the bending behaviour of aluminium profiles produced a novel extrusion process: differential velocity sideways (DVSE), which two opposing rams with v1 and v2 were employed, respectively. was built on basis upper bound theorem utilising general streamline equation controlled by shape factor n, curvature calculated ...

In this article, we analyze the fractional-step θ method for the time-dependent convectiondiffusion equation. In our implementation, we completely separate the convection operator from the diffusion operator, and stabilize the convective solve using a streamline upwinded PetrovGalerkin (SUPG) method. We establish a priori error estimates and show that optimal values of θ yield a scheme that is ...

The discrete convection-diffusion equations obtained from streamline diffusion finite element discretization are solved on both uniform meshes and adaptive meshes. The performance of geometric multigrid method (GMG) and algebraic multigrid method (AMG), both as a solver and as a preconditioner of the generalized minimal residual method (GMRES), are evaluated. Our numerical results show that GMR...