Abstract In this paper we consider generalized monomial functions $$f, g:{\mathbb {F}}\rightarrow {\mathbb {C}}$$ f , g : F → C (of possibly different degree) that also fulfill $$\begin...

In this paper, the effect of normal impact on the mathematical modeling of flexible multiple links is investigated. The response of such a system can be fully determined by two distinct solution procedures. Highly nonlinear differential equations are exploited to model the falling phase of the system prior to normal impact; and algebraic equations are used to model the normal collision of this ...

The index of matrix A in Cn.n is equivalent to the dimension of largest Jor-dan block corresponding to the zero eigenvalue of A. In this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

The stationary Navier-Stokes equations are solved in 2D with semi-implicit Runge-Kutta schemes, where explicit time-integration in the streamwise direction is combined with implicit integration in the body-normal direction. For model problems stability restrictions and convergence properties are studied. Numerical experiments for the ow over a at plate show that the number of iterations for the...

Capillary instability of a viscous fluid cylinder of diameter D surrounded by another fluid is determined by a Reynolds number J = V D `= `, a viscosity ratio m = a= ` and a density ratio ` = a= `. Here V = = ` is the capillary collapse velocity based on the more viscous liquid which may be inside or outside the fluid cylinder. Results of linearized analysis based on potential flow of a viscous...

Abstract. The linearized Navier–Stokes equations are solved in two space dimensions using a multigrid method where a semiimplicit Runge–Kutta scheme is the smoother. Explicit time-integration in the streamwise direction is combined with implicit integration in the body-normal direction. Thereby the stiffness of the equations due to the disparate scales in the boundary layer is removed. Reynolds...

The stability of the axisymmetric Burgers vortex solution of the Navier-Stokes equations to two-dimensional perturbations is studied numerically up to Reynolds numbers, R = 1’/2 VU, of order 10”. No unstable eigenmodes for azimuthal mode numbers n= I ,..., 10 are found in this range of Reynolds numbers. Increasing the Reynolds number has a stabilizing effect on the vortex. 0 199.5 American Inst...