NDLI: Smoothed Profile Method for Particulate Two-Phase Flow

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Luo, Xian Martin, R. Maxey George, E. Karniadakis
Copyright Year	2008
Abstract	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).
Sponsorship	Fluids Engineering Division
Starting Page	11
Ending Page	21
Page Count	11
File Format	PDF
ISBN	9780791848401
DOI	10.1115/FEDSM2008-55033
e-ISBN	0791838323
Volume Number	Volume 1: Symposia, Parts A and B
Conference Proceedings	ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
Language	English
Publisher Date	2008-08-10
Publisher Place	Jacksonville, Florida, USA
Access Restriction	Subscribed
Subject Keyword	Two-phase flow Spm Time-splitting scheme Geometry Errors Navier-stokes equations Scanning probe microscopy Computer simulation Particulate matter Flow (dynamics) Density Modeling
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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