Direct simulation of flows with suspended paramagnetic particles using one-stage smoothed profile method

2011 ◽  
Vol 27 (2) ◽  
pp. 266-282 ◽  
Author(s):  
S. Kang ◽  
Y.K. Suh
Keyword(s):  
Direct Simulation ◽  
Profile Method ◽  
One Stage ◽  
Smoothed Profile Method

Smoothed Profile Method for Particulate Two-Phase Flow

2008 ◽  
Author(s):  
Xian Luo ◽  
Martin R. Maxey ◽  
George E. Karniadakis
Keyword(s):  
Numerical Simulations ◽  
Stokes Equations ◽  
Integration Scheme ◽  
Force Density ◽  
Step Size ◽  
Time Step ◽  
Element Discretization ◽  
Profile Method ◽  
Time Step Size ◽  
Smoothed Profile Method

We re-formulate and demonstrate a new method for particulate flows, the so-called “Smoothed Profile” method (SPM) first proposed in [1]. The method uses a fixed computational mesh, which does not conform to the geometry of the particles. The particles are represented by certain smoothed indicator profiles to construct a smooth body force density term added into the Navier-Stokes equations. The SPM imposes accurately and efficiently the rigid-body constraint inside the particles. In particular, while the original method employs a fully-explicit time-integration scheme, we develop a high-order semi-implicit splitting scheme, which we implement in the context of spectral/hp element discretization. We show that the modeling error of SPM has a non-monotonic dependence on the time step size Δt. The optimum time step size balances the thickness of the Stokes layer and that of the profile interface. Subsequently, we present several numerical simulations, including flow past three-dimensional complex-shaped particles and two interacting microspheres, which are compared against full direct numerical simulations and the force coupling method (FCM).

A smoothed profile method for simulating charged colloidal dispersions

2005 ◽  
Vol 169 (1-3) ◽  
pp. 104-106 ◽  
Author(s):  
Kang Kim ◽  
Yasuya Nakayama ◽  
Ryoichi Yamamoto
Keyword(s):  
Colloidal Dispersions ◽  
Profile Method ◽  
Smoothed Profile Method

scholarly journals Effects of viscoelasticity on shear-thickening in dilute suspensions in a viscoelastic fluid

Soft Matter ◽  
2020 ◽  
Vol 16 (3) ◽  
pp. 728-737
Author(s):  
Yuki Matsuoka ◽  
Yasuya Nakayama ◽  
Toshihisa Kajiwara
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Viscoelastic Fluid ◽  
Shear Thickening ◽  
Profile Method ◽  
Fluid Elasticity ◽  
Simulation Based ◽  
Dilute Suspensions ◽  
Smoothed Profile Method

We investigate previously unclarified effects of fluid elasticity on shear-thickening in dilute suspensions in an Oldroyd-B viscoelastic fluid using a novel direct numerical simulation based on the smoothed profile method.

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