Unstructured pressure-correction solver based on a consistent discretization of the Poisson equation Export

@article{citeulike:2138449, abstract = {A finite volume incompressible flow solver is presented for three-dimensional unsteady flows based on an unstructured tetrahedral mesh, with collocation of the flow variables at the cell vertices. The solver is based on the pressure-correction method, with an explicit prediction step of the momentum equations followed by a Poisson equation for the correction step to enforce continuity. A consistent discretization of the Poisson equation was found to be essential in obtaining a solution. The correction step was solved with the biconjugate gradient stabilized (Bi-CGSTAB) algorithm coupled with incomplete lower-upper (ILU) preconditioning. Artificial dissipation is used to prevent the formation of instabilities. Flow solutions are presented for a stalling airfoil, vortex shedding past a bridge deck and flow in model alveoli. Copyright {\copyright} 2000 John Wiley \& Sons, Ltd.}, address = {Department of Engineering, University of Cambridge, Trumpington Street, Cambridge, U.K.}, author = {de Foy, Benjamin and Dawes, William}, citeulike-article-id = {2138449}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/1097-0363(20001130)34:6%3C463::AID-FLD59%3E3.0.CO;2-T}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/75500308/ABSTRACT}, doi = {10.1002/1097-0363(20001130)34:6%3C463::AID-FLD59%3E3.0.CO;2-T}, journal = {International Journal for Numerical Methods in Fluids}, keywords = {incompressible}, number = {6}, pages = {463--478}, posted-at = {2007-12-17 22:04:02}, priority = {2}, title = {Unstructured pressure-correction solver based on a consistent discretization of the Poisson equation}, url = {http://dx.doi.org/10.1002/1097-0363(20001130)34:6%3C463::AID-FLD59%3E3.0.CO;2-T}, volume = {34}, year = {2000} }

TY - JOUR ID - citeulike:2138449 L3 - citeulike-article-id:2138449 N2 - A finite volume incompressible flow solver is presented for three-dimensional unsteady flows based on an unstructured tetrahedral mesh, with collocation of the flow variables at the cell vertices. The solver is based on the pressure-correction method, with an explicit prediction step of the momentum equations followed by a Poisson equation for the correction step to enforce continuity. A consistent discretization of the Poisson equation was found to be essential in obtaining a solution. The correction step was solved with the biconjugate gradient stabilized (Bi-CGSTAB) algorithm coupled with incomplete lower-upper (ILU) preconditioning. Artificial dissipation is used to prevent the formation of instabilities. Flow solutions are presented for a stalling airfoil, vortex shedding past a bridge deck and flow in model alveoli. Copyright © 2000 John Wiley & Sons, Ltd. IS - 6 JF - International Journal for Numerical Methods in Fluids AD - Department of Engineering, University of Cambridge, Trumpington Street, Cambridge, U.K. EP - 478 TI - Unstructured pressure-correction solver based on a consistent discretization of the Poisson equation VL - 34 SP - 463 KW - incompressible AU - de Foy, Benjamin AU - Dawes, William PY - 2000/// UR - http://dx.doi.org/10.1002/1097-0363(20001130)34:6%3C463::AID-FLD59%3E3.0.CO;2-T ER -