%0 Journal Article %1 popinet03:JCP-190-572 %A Popinet, Stéphane %D 2003 %J Journal of Computational Physics %K usyd 76d05-incompressible-navier-stokes-equations 76m12-finite-volume-methods-in-fluid-mechanics 65n55-pdes-bvps-multigrid-methods-domain-decomposition 76-04-fluid-mechanics-explicit-machine-computation-and-programs 65m55-pdes-ibvps-multigrid-methods-domain-decomposition 65m06-pdes-ibvps-finite-differences 65m08-pdes-ibvps-finite-volumes 65n08-pdes-bvps-finite-volumes %P 572--600 %R 10.1016/S0021-9991(03)00298-5 %T Gerris: A Tree-Based Adaptive Solver for the Incompressible Euler Equations in Complex Geometries %U http://gfs.sf.net/gerris.pdf %V 190 %X An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented. The domain is spatially discretised using quad/octrees and a multilevel Poisson solver is used to obtain the pressure. Complex solid boundaries are represented using a volume-of-fluid approach. Second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids. The quad/octree discretisation proves to be very flexible and allows accurate and efficient tracking of flow features. The source code of the method implementation is freely available.

@article{popinet03:JCP-190-572, abstract = {{An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented. The domain is spatially discretised using quad/octrees and a multilevel Poisson solver is used to obtain the pressure. Complex solid boundaries are represented using a volume-of-fluid approach. Second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids. The quad/octree discretisation proves to be very flexible and allows accurate and efficient tracking of flow features. The source code of the method implementation is freely available.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Popinet, St\'{e}phane}, biburl = {https://www.bibsonomy.org/bibtex/24fc94ff721effa6ef5576a0f2e7c0552/gdmcbain}, citeulike-article-id = {2442354}, citeulike-attachment-1 = {gerris.pdf; /pdf/user/gdmcbain/article/2442354/651586/gerris.pdf; c3fe748222d7ce71969bd5d583aaece971fd3abc}, citeulike-attachment-2 = {popinet_03_gerris_816481.pdf; /pdf/user/gdmcbain/article/2442354/816481/popinet_03_gerris_816481.pdf; c4c225160c445fe7a64825d16bdc1cdf3200b54a}, citeulike-linkout-0 = {http://gfs.sf.net/gerris.pdf}, citeulike-linkout-1 = {http://dx.doi.org/10.1016/S0021-9991(03)00298-5}, doi = {10.1016/S0021-9991(03)00298-5}, interhash = {95615a4496aba984a8375322a4ff2fc6}, intrahash = {4fc94ff721effa6ef5576a0f2e7c0552}, journal = {Journal of Computational Physics}, keywords = {usyd 76d05-incompressible-navier-stokes-equations 76m12-finite-volume-methods-in-fluid-mechanics 65n55-pdes-bvps-multigrid-methods-domain-decomposition 76-04-fluid-mechanics-explicit-machine-computation-and-programs 65m55-pdes-ibvps-multigrid-methods-domain-decomposition 65m06-pdes-ibvps-finite-differences 65m08-pdes-ibvps-finite-volumes 65n08-pdes-bvps-finite-volumes}, pages = {572--600}, posted-at = {2008-02-28 10:11:13}, priority = {0}, timestamp = {2019-04-17T01:37:09.000+0200}, title = {Gerris: A Tree-Based Adaptive Solver for the Incompressible {Euler} Equations in Complex Geometries}, url = {http://gfs.sf.net/gerris.pdf}, volume = 190, year = 2003 }