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A robust finite volume model to simulate granular flows
, Article Computers and Geotechnics ; Volume 66 , May , 2015 , Pages 96-112 ; 0266352X (ISSN) ; Ataie Ashtiani, B ; Sanders, B. F ; Sharif University of Technology
Elsevier Ltd
2015
Abstract
This paper introduces a well-balanced second-order finite volume scheme, based on the Q-scheme of Roe, for simulating granular type flows. The proposed method is applied to solve the incompressible Euler equations under Savage-Hutter assumptions. The model is derived in a local coordinate system along a non-erodible bed to take its curvature into account. Moreover, simultaneous appearance of flowing/static regions is simulated by considering a basal friction resistance which keeps the granular flow from moving when the angle of granular flow is less than the angle of repose. The proposed scheme preserves stationary solutions up to second order and deals with different situations of wet/dry...
Compressive modulus and deformation mechanisms of 3DG foams: Experimental investigation and multiscale modeling
, Article Nanotechnology ; Volume 32, Issue 48 , 2021 ; 09574484 (ISSN) ; Adibnazari, S ; Del Monte, F ; Gutiérrez, M. C ; Sharif University of Technology
IOP Publishing Ltd
2021
Abstract
Due to the wide applications of three-dimensional graphene (3DG) foam in bio-sensors, stretchable electronics, and conductive polymer composites, predicting its mechanical behavior is of paramount importance. In this paper, a novel multiscale finite element model is proposed to predict the compressive modulus of 3DG foams with various densities. It considers the effects of pore size and structure and the thickness of graphene walls on 3DG foams' overall behavior. According to the scanning electron microscope images, a unit cell is selected in the microscale step to represent the incidental arrangement of graphene sheets in 3DG foams. After derivation of equivalent elastic constants of the...
A discretized analytical solution for fully coupled non-linear simulation of heat and mass transfer in poroelastic unsaturated media
, Article International Journal for Numerical and Analytical Methods in Geomechanics ; Volume 33, Issue 13 , 2009 , Pages 1589-1611 ; 03639061 (ISSN) ; Pak, A ; Sharif University of Technology
2009
Abstract
Mathematical simulation of non-isothermal multiphase flow in deformable unsaturated porous media is a complicated issue because of the need to employ multiple partial differential equations, the need to take into account mass and energy transfer between phases and because of the non-linear nature of the governing partial differential equations. In this paper, an analytical solution for analyzing a fully coupled problem is presented for the one-dimensional case where the coefficients of the system of equations are assumed to be constant for the entire domain. A major issue is the non-linearity of the governing equations, which is not considered in the analytical solution. In order to...