A Galerkin least squares approach to viscoelastic flow.

Technical Report · Thu Oct 01 00:00:00 EDT 2015

DOI:https://doi.org/10.2172/1223166· OSTI ID:1223166

Rao, Rekha R. ^[1]; Schunk, Peter Randall ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

A Galerkin/least-squares stabilization technique is applied to a discrete Elastic Viscous Stress Splitting formulation of for viscoelastic flow. From this, a possible viscoelastic stabilization method is proposed. This method is tested with the flow of an Oldroyd-B fluid past a rigid cylinder, where it is found to produce inaccurate drag coefficients. Furthermore, it fails for relatively low Weissenberg number indicating it is not suited for use as a general algorithm. In addition, a decoupled approach is used as a way separating the constitutive equation from the rest of the system. A Pressure Poisson equation is used when the velocity and pressure are sought to be decoupled, but this fails to produce a solution when inflow/outflow boundaries are considered. However, a coupled pressure-velocity equation with a decoupled constitutive equation is successful for the flow past a rigid cylinder and seems to be suitable as a general-use algorithm.

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 1223166
• Report Number(s): SAND2015-8653R; 607404
• Country of Publication: United States
• Language: English