TY - GEN
T1 - BENCHMARK BOUNDARY ELEMENT SOLUTIONS FOR SOME PROBLEMS GOVERNED BY THE BOUSSINESQ EQUATIONS
AU - Grigoriev, Mikhail M.
AU - Dargush, Gary F.
N1 - Publisher Copyright:
© 1999 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1999
Y1 - 1999
N2 - The boundary element formulation developed previously by the authors for incompressible isothermal viscous fluid flows is extended for non-isothermal flows governed by Boussinesq equations. The new boundary element method is applied to the classical Rayleigh-Benard problem and to a stratified flow over a backward-facing step. In all cases, the boundary element results are in good agreement with published finite element solutions. However, in some instances, the boundary element solutions are more accurate, particularly in terms of resolving surface tractions and heat fluxes.
AB - The boundary element formulation developed previously by the authors for incompressible isothermal viscous fluid flows is extended for non-isothermal flows governed by Boussinesq equations. The new boundary element method is applied to the classical Rayleigh-Benard problem and to a stratified flow over a backward-facing step. In all cases, the boundary element results are in good agreement with published finite element solutions. However, in some instances, the boundary element solutions are more accurate, particularly in terms of resolving surface tractions and heat fluxes.
KW - Boundary element method
KW - Rayleigh-Benard problem
KW - Stratified flow
UR - https://www.scopus.com/pages/publications/85122685866
U2 - 10.1115/imece1999-1090
DO - 10.1115/imece1999-1090
M3 - Conference contribution
AN - SCOPUS:85122685866
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 331
EP - 336
BT - Heat Transfer
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1999 International Mechanical Engineering Congress and Exposition, IMECE 1999
Y2 - 14 November 1999 through 19 November 1999
ER -