TY - GEN
T1 - Benchmark boundary element solutions for some problems governed by the Boussinesq equations
AU - Grigoriev, Mikhail M.
AU - Dargush, Gary F.
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.
UR - https://www.scopus.com/pages/publications/0033338755
M3 - Conference contribution
AN - SCOPUS:0033338755
SN - 0791816567
T3 - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
SP - 331
EP - 336
BT - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
PB - ASME
T2 - Heat Transfer Division - 1999 ((The ASME International Mechanical Engineering Congress and Exposition)
Y2 - 14 November 1999 through 19 November 1999
ER -