%0 Book Section %1 dyne1992backwardfacing %A Dyne, B. R. %A Heinrich, J. C. %B Benchmark Problems for Heat Transfer Codes %C New York %D 1992 %E Blackwell, Ben %E Pepper, Darrell W. %I ASME %K 76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics 76r05-forced-convection 80m10-heat-transfer-finite-element-methods %N HTD-222 %P 73–76 %T Flow over a backward-facing step: A benchmark problem for laminar flow with heat transfer %X The problem of two-dimensional laminar flow over a backward-facing step, with cooling of the upper and lower walls, is solved using the finite element method. The incompressibility constraint is imposed via the penalty approximation and convective stability is maintained through the use of a Petrov–Galerkin method. Several grid refinements are studied, and profiles of temperature and velocity are provided at four axial locations.

@incollection{dyne1992backwardfacing, abstract = {The problem of two-dimensional laminar flow over a backward-facing step, with cooling of the upper and lower walls, is solved using the finite element method. The incompressibility constraint is imposed via the penalty approximation and convective stability is maintained through the use of a Petrov–Galerkin method. Several grid refinements are studied, and profiles of temperature and velocity are provided at four axial locations.}, added-at = {2019-03-29T01:38:10.000+0100}, address = {New York}, author = {Dyne, B. R. and Heinrich, J. C.}, biburl = {https://www.bibsonomy.org/bibtex/2e7e4fa2c829b6606be2a00f82bf3166a/gdmcbain}, booktitle = {Benchmark Problems for Heat Transfer Codes}, editor = {Blackwell, Ben and Pepper, Darrell W.}, interhash = {edf03dc196f6579bc42f92ea3a90a645}, intrahash = {e7e4fa2c829b6606be2a00f82bf3166a}, keywords = {76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics 76r05-forced-convection 80m10-heat-transfer-finite-element-methods}, number = {HTD-222}, pages = {73–76}, publisher = {ASME}, timestamp = {2019-03-29T01:38:10.000+0100}, title = {Flow over a backward-facing step: A benchmark problem for laminar flow with heat transfer}, year = 1992 }