Authors Chatzidai N., Giannousakis A., Dimakopoulos Y., Tsamopoulos J. Abstract We present an improved method to generate a sequence of structured meshes even when the physical domain contains deforming inclusions. This method belongs to the class of Arbitrary Lagrangian-Eulerian (ALE) methods for solving moving boundary problems. Its tools are either […]
2009
5 posts
Authors Dimakopoulos Y., Tsamopoulos J. Abstract We examine the pressure-driven coating of a straight, long tube with a finite amount of viscoelastic liquid. This combines the formation and elongation of an open bubble pushing the liquid downstream with the motion of the advancing liquid front and the deposition of a […]
Authors Pavlidis M., Dimakopoulos Y., Tsamopoulos J. Abstract The one-dimensional, gravity-driven film flow of a linear (l) or exponential (e) Phan-Thien and Tanner (PTT) liquid, flowing either on the outer or on the inner surface of a vertical cylinder or over a planar wall, is analyzed. Numerical solution of the […]
Authors Papaioannou J., Karapetsas G., Dimakopoulos Y., Tsamopoulos J. Abstract The injection of a viscoplastic material, driven by a constant pressure drop, inside a pipe or between two parallel coaxial disks under creeping flow conditions is examined. The transient nature of both flow arrangements requires solving a time-dependent problem and […]
Authors Karapetsas G., Tsamopoulos J. Abstract The steady planar and cylindrical stick-slip flows for a viscoelastic fluid are computed using the Phan-Thien and Tanner (PTT) constitutive model. The mixed finite element method is used in combination with the elastic-viscous stress-splitting technique and the streamline upwind Petrov-Galerkin discretization for the constitutive […]