A discrete geometric approach for simulating the dynamics of thin viscous threads

Details A discrete geometric approach for simulating the dynamics of thin viscous threads A discrete geometric approach for simulating the dynamics of thin viscous threads

2012-02-22

arxiv.org/abs/1202.4971v2

Physics

Fluid Dynamics

Scientific paper

We present a numerical model for the dynamics of thin viscous threads based on a discrete, Lagrangian formulation of the smooth equations. The model makes use of a condensed set of coordinates, called the centerline/spin representation: the kinematical constraints linking the centerline's tangent to the orientation of the material frame is used to eliminate two out of three degrees of freedom associated with rotations. Based on a description of twist inspired from discrete differential geometry and from variational principles, we build a full-fledged discrete viscous thread model, which includes in particular a discrete representation of the internal viscous stress. Consistency of the discrete model with the classical, smooth equations is established formally in the limit of a vanishing discretization length. The discrete models lends itself naturally to numerical implementation. Our numerical method is validated against reference solutions for steady coiling. The method makes it possible to simulate the unsteady behavior of thin viscous jets in a robust and efficient way, including the combined effects of inertia, stretching, bending, twisting, large rotations and surface tension.

Affiliated with

Also associated with

No associations

Rating

A discrete geometric approach for simulating the dynamics of thin viscous threads does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A discrete geometric approach for simulating the dynamics of thin viscous threads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A discrete geometric approach for simulating the dynamics of thin viscous threads will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415702