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.
%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},
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doi = {10.1016/S0021-9991(03)00298-5},
interhash = {95615a4496aba984a8375322a4ff2fc6},
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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
}