Abstract Two different methods of artificial diffusion stabilization the numerical simulations steady Oldroyd-B fluids flows are presented. They based on idea vanishing in time added terms which only present during initial stage time-marching process towards state solution. These extra naturally vanish and do not affect final result. The built a simple 2D case fluid flow symmetrical corrugated ...

The velocity field and the shear stress corresponding to motion of an Oldroyd-B fluid between two infinite coaxial circular cylinders are established by means of the Hankel transforms. The flow of the fluid is produced due to the time dependent axial shear stress applied on the boundary of the inner cylinder. The exact solutions, presented under a series form, can easily be specialized to give ...

OF THE DISSERTATION The Material Point Method for the Physics-Based Simulation of Solids and Fluids by Chenfanfu Jiang Doctor of Philosophy in Computer Science University of California, Los Angeles, 2015 Professor Demetri Terzopoulos, Co-chair Professor Joseph M. Teran, Co-chair Simulating fluids and solid materials undergoing large deformation remains an important and challenging problem in Co...

Exact and approximate expressions are established for dissipation, the power of the shear stress at the wall and the boundary layer thickness corresponding to the motion of an Oldroyd-B fluid induced by a constantly accelerating plate. The similar expressions for Maxwell, Newtonian and second grade fluids, performing the same motion, are obtained as limiting cases of our general results. The sp...

The motion of a rotating helical body in a viscoelastic fluid is considered. In the case of force-free swimming, the introduction of viscoelasticity can either enhance or retard the swimming speed and locomotive efficiency, depending on the body geometry, fluid properties, and the body rotation rate. Numerical solutions of the Oldroyd-B equations show how previous theoretical predictions break ...

This communication is concerned with the nonlinear flows of an Oldroyd 8-constant fluid when the no-slip condition is not valid. Due to slip effects in terms of shear stress, the arising slip conditions are nonlinear. The resulting mathematical problems involves nonlinear differential equations and nonlinear boundary conditions. To the best of my knowledge, no such analysis for the flows of an ...