A new approach to the numerical modeling of the viscoelastic Rayleigh-Benard convection

Xin Zheng, Dennis A. Siginer, M'hamed Boutaous, Fouad Hagani, Shihe Xin, Ronnie Knikker

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new approach to the numerical simulation of incompressible viscoelastic Rayleigh-Bénard convection in a cavity is presented. Due to the fact that the governing equations are of elliptic-hyperbolic type, a quasi-linear treatment of the hyperbolic part of the equations is proposed to overcome the strong instabilities that can be induced and is handled explicitly in time. The elliptic part related to the mass conservation and the diffusion is treated implicitly in time. The time scheme used is semi-implicit and of second order. Second-order central differencing is used throughout except for the quasi-linear part treated by third order space scheme HOUC. Incompressibility is handled by a projection method. The numerical approach is validated first through comparison with a Newtonian benchmark of Rayleigh-Bénard convection and then by comparing the results related to the convection set-up in a 2: 1 cavity filled with an Oldroyd-B fluid. A preliminary study is also conducted for a PTT fluid and shows that PTT fluid is slightly more unstable than Oldroyd-B fluid in the configuration of Rayleigh-Bénard convection.

Original languageEnglish
Title of host publicationFluids Engineering
PublisherAmerican Society of Mechanical Engineers(ASME)
ISBN (Electronic)9780791859445
DOIs
Publication statusPublished - 2019
Externally publishedYes
EventASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019 - Salt Lake City, United States
Duration: Nov 11 2019Nov 14 2019

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume7

Conference

ConferenceASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019
CountryUnited States
CitySalt Lake City
Period11/11/1911/14/19

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Fingerprint Dive into the research topics of 'A new approach to the numerical modeling of the viscoelastic Rayleigh-Benard convection'. Together they form a unique fingerprint.

  • Cite this

    Zheng, X., Siginer, D. A., Boutaous, M., Hagani, F., Xin, S., & Knikker, R. (2019). A new approach to the numerical modeling of the viscoelastic Rayleigh-Benard convection. In Fluids Engineering [IMECE2019-11675] (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 7). American Society of Mechanical Engineers(ASME). https://doi.org/10.1115/IMECE2019-11675