Authors Tsouka S., Dimakopoulos Y., Tsamopoulos J. Abstract We consider the two dimensional, steady flow of a dilute polymer solution over a solid substrate with periodic topography under the action of a body force. We examine how the distribution of polymer is affected by flow conditions, physical properties and substrate […]
Finite element method
8 posts
Authors Talaslidis D.G., Manolis G.D., Paraskevopoulos E., Panagiotopoulos C., Pelekasis N., Tsamopoulos J.A. Abstract A modular analysis package is assembled for assessing risk in typical industrial structural units such as steel storage tanks, due to extreme transient loads that are produced either as a result of chemical explosions in the […]
Authors Dimakopoulos Y., Tsamopoulos J. Abstract We examine the transient displacement of viscoelastic fluids by a gas in straight cylindrical tubes of finite length. For the simulation of the processes, the mixed finite element method is combined with a quasi-elliptic grid generation scheme for discretizing the highly deforming domain of […]
Authors Foteinopoulou K., Mavrantzas V.G., Tsamopoulos J. Abstract Numerical results are presented concerning bubble growth in Newtonian and viscoelastic filaments undergoing stretching. In practice, such bubbles or cavities develop in materials (either in their bulk or at their interface with a substrate) such as the pressure sensitive adhesives. The problem […]
Authors Dimakopoulos Y., Tsamopoulos J. Abstract We examine the transient displacement of a viscoplastic material from straight or suddenly constricted cylindrical tubes of finite length. Our general goal is to develop accurate and efficient numerical methods for the fundamental study of processes in which a gas is displacing a liquid […]
Authors Kouris C., Dimakopoulos Y., Georgiou G., Tsamopoulos J. Abstract A Galerkin/finite element and a pseudo-spectral method, in conjunction with the primitive (velocity-pressure) and streamfunction-vorticity formulations, are tested for solving the two-phase flow in a tube, which has a periodically varying, circular cross section. Two immiscible, incompressible, Newtonian fluids are […]
Authors Dimakopoulos Y., Tsamopoulos J. Abstract We have developed a quasi-elliptic set of equations for generating a discretization mesh that optimally conforms to an entire domain that undergoes large deformations in primarily one direction. We have applied this method to the axisymmetric problem of the transient displacement of a viscous […]
Authors Georgiou G.C., Tsamopoulos J., Schultz W.W. Abstract We use finite elements and the full Newton iteration method to solve the steady, two-dimensional flow of a Newtonian planar film, issuing from a slit under a pressure difference between the two free surfaces, in the presence of gravity and surface tension. […]