%0 Book Section %1 Glowinski2019 %A Glowinski, Roland %A Pan, Tsorng-Whay %B Contributions to Partial Differential Equations and Applications %C Cham %D 2019 %E Chetverushkin, B. N. %E Fitzgibbon, W. %E Kuznetsov, Y.A. %E Neittaanmäki, P. %E Periaux, J. %E Pironneau, O. %I Springer %K 01a60-20th-century 01a61-21st-century 35-03-pdes-history 35q30-navier-stokes-equations 35q35-pdes-in-connection-with-fluid-mechanics 76-03-fluid-mechanics-history 76m10-finite-element-methods-in-fluid-mechanics %P 221--250 %R 10.1007/978-3-319-78325-3_13 %T Two Decades of Wave-Like Equation for the Numerical Simulation of Incompressible Viscous Flow: A Review %U https://doi.org/10.1007/978-3-319-78325-3_13 %V 47 %X A wave-like equation based method for the numerical solution of the Navier-Stokes equations modeling incompressible viscous flow was introduced nearly twenty years ago. From its inception to nowadays it has been applied successfully to the numerical solution of two and three dimensional flow problems for incompressible Newtonian and non-Newtonian viscous fluids, in flow regions with fixed or moving boundaries. The main goals of this article are: (i) To recall the foundations of the wave-like equation methodology, and (ii) to review some typical viscous flow problems where it has been applied successfully. %@ 978-3-319-78325-3

@inbook{Glowinski2019, abstract = {A wave-like equation based method for the numerical solution of the Navier-Stokes equations modeling incompressible viscous flow was introduced nearly twenty years ago. From its inception to nowadays it has been applied successfully to the numerical solution of two and three dimensional flow problems for incompressible Newtonian and non-Newtonian viscous fluids, in flow regions with fixed or moving boundaries. The main goals of this article are: (i) To recall the foundations of the wave-like equation methodology, and (ii) to review some typical viscous flow problems where it has been applied successfully.}, added-at = {2021-08-02T01:46:17.000+0200}, address = {Cham}, author = {Glowinski, Roland and Pan, Tsorng-Whay}, biburl = {https://www.bibsonomy.org/bibtex/264e7428907b1b678fb3f7d87294fca5d/gdmcbain}, booktitle = {Contributions to Partial Differential Equations and Applications}, doi = {10.1007/978-3-319-78325-3_13}, editor = {Chetverushkin, B. N. and Fitzgibbon, W. and Kuznetsov, Y.A. and Neittaanm{\"a}ki, P. and Periaux, J. and Pironneau, O.}, interhash = {073ca7fe8c891b081f907739c3890213}, intrahash = {64e7428907b1b678fb3f7d87294fca5d}, isbn = {978-3-319-78325-3}, keywords = {01a60-20th-century 01a61-21st-century 35-03-pdes-history 35q30-navier-stokes-equations 35q35-pdes-in-connection-with-fluid-mechanics 76-03-fluid-mechanics-history 76m10-finite-element-methods-in-fluid-mechanics}, pages = {221--250}, publisher = {Springer}, timestamp = {2021-08-02T01:51:30.000+0200}, title = {Two Decades of Wave-Like Equation for the Numerical Simulation of Incompressible Viscous Flow: A Review}, url = {https://doi.org/10.1007/978-3-319-78325-3_13}, volume = 47, year = 2019 }