Multiple Precision, Multiple Processor Vortex Sheet Roll-Up Computation

نویسندگان

  • David H. Bailey
  • Robert Krasny
  • Richard B. Pelz
چکیده

This paper describes a vortex sheet roll-up computation implemented using multiple precision arithmetic on a highly parallel computer (an Intel iPSC/860). Bailey: NAS Applied Research Branch, NASA Ames Research Center, Mo ett Field, CA 94035-1000; email: [email protected]. Computer time was provided by the NAS Systems Division at NASA Ames. Krasny: Dept. of Mathematics, University of Michigan, Ann Arbor, MI 48109; email: [email protected]. This work was supported in part by NSF grant DMS9204271 and a computer allocation at the NSF San Diego Supercomputer Center. Pelz: Dept. of Mechanical and Aerospace Eng., Rutgers University, P.O. 909, Piscataway, NJ 08855-0909; email: [email protected].

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Computation of Vortex Sheet Roll-up

In this article we shall review some recent developments for computing vortex sheet roll-up. A vortex sheet is an asymptotic model of a free shear layer in which the transition region between the two fluid streams is approximated by a surface across which the tangential velocity component is discontinuous. A common theme in fluid dynamics is that the vortex sheet model can be useful in understa...

متن کامل

Desingularization of Periodic Vortex Sheet Roll-up*

The equations governing periodic vortex sheet roll-up from analytic initial data are desingularized. Linear stability analysis shows that this diminishes the vortex sheet model’s short wavelength instability. yielding a numerically more tractable set of equations. Computational evidence is presented which indicates that this approximation converges, beyond the critical time of singularity forma...

متن کامل

Vortex Sheet Computations: Roll-Up, Wakes, Separation

Chorin's vortex blob method has been proposed as a way to extend vortex sheet motion past the singularity formation time, into the physically important roll-up regime. Basic questions are: 1. Does the vortex blob method converge to an infinite spiral as the smoothing parameter tends to zero? 2. Do vortex blob computations approximate real fluid motion? This paper will present and discuss three ...

متن کامل

Vortex Sheet Roll-up Due to the Motion of a Flat Plate

The vortex-blob method is extended to compute vortex sheet separation at a sharp edge. A smoothing parameter con­ trols the amount of detail occuring in the rolled-up spiral. Cal­ culations are presented for the case of vortex sheet roll-up due to an impulsively started flat plate.

متن کامل

Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger

This article reviews some recent simulations of vortex sheet roll-up using the vortex blob method. In planar and axisymmetric flow, the roll-up is initially smooth but irregular small-scale features develop later in time due to the onset of chaos. A numerically generated Poincaré section shows that the vortex sheet flow resembles a chaotic Hamiltonian system with resonance bands and a heterocli...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1993