Several algorithmic extensions to the Lattice Boltzmann method (LBM) that permits its application to rarefied gas flows are presented. The accuracy of the new method is first demonstrated by validating the desired power-law viscosity-temperature relationship over the range of power-law exponents typically found in single component fluids. Next, the plane Poiseuille flow scenario is simulated fo...

This article considers transient, planar Poiseuille flows for viscoelastic fluids. We propose a novel time-dependent hybrid finite volume (fv)/finite element (fe) algorithm. This approach combines a Taylor-Galerkin fe-treatment for mass and momentum conservation equations, with a cell-vertex fv-discretisation of the hyperbolic stress constitutive equation. A consistent formulation for the const...

We study transient growth in inertialess plane Couette and Poiseuille flows of viscoelastic fluids. For streamwise-constant three-dimensional fluctuations, we demonstrate analytically the existence of initial conditions that lead to quadratic scaling of both the kinetic energy density and the elastic energy with the Weissenberg number, We. This shows that in strongly elastic channel flows of vi...

Multiscale simulations of fluids such as blood represent a major computational challenge of coupling the disparate spatiotemporal scales between molecular and macroscopic transport phenomena characterizing such complex fluids. In this paper, a coarse-grained (CG) particle model is developed for simulating blood flow by modifying the Morse potential, traditionally used in Molecular Dynamics for ...

This paper presents the numerical resolution of non-linear yield stress phenomena by using a new mixed anisotropic auto-adaptive finite element method. The Poiseuille flow of a Bingham fluid with slip yield boundary condition at the wall is considered. Despite its practical interest, for instance for pipeline flows of yield stress fluids such as concrete and cements, this problem was not yet ad...

The lateral migration of a neutrally buoyant rigid sphere suspended in a secondorder fluid is studied theoretically for unidirectional two-dimensional flows. The results demonstrate the existence of migration induced by normal stresses whenever there is a lateral variation of the shear rate in the undisturbed flow. The migration occurs in the direction of decreasing absolute shear rate, which i...

• DNS of PRB flow for low Prandtl number fluid. The influence Pr in has been studied with varying Pr. Turbulence is enhanced decreasing number. Extensive results and temperature statistics are analyzed presented. Direct numerical simulation (DNS) performed to study turbulent heat transfer Poiseuille-Rayleigh-Bénard (PRB) flows numbers this article. mesh Cartesian a highly accurate finite differ...

We present a dynamic network model to investigate the effects of capillary number and viscosity ratio on displacement patterns and fractional flow in primary drainage. This model predicts the events that are observed in the micro-model experiments, such as swelling of the wetting layers and the meniscus oscillation. Interfaces are tracked through the pore elements using a modified Poiseuille eq...