Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

By Stéphane Popinet. 2003

1,263 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c3fe748222d7ce71969bd5d583aaece971fd3abc

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In Computational Mechanics

Citations in the corpus

The granular column collapse as a continuum: validity of a two-dimensional Navier–Stokes model with a μ(I)-rheology (2011, methodology): “The Gerris flow solver Gerris is an open-source solver for the solution of incompressible fluid motion using the finite-volume approach (Popinet 2003, 2009).”
Simulating water and smoke with an octree data structure (2004, methodology): “We extend the work of [Popinet 2003] in two ways.”
Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability (2016, methodology): “The numerical simulations were performed with the GERRIS flow solver open software [30].”
Spatially adaptive techniques for level set methods and incompressible flow (2006, methodology): “Octree based spatial discretization schemes are nearly optimal, and recent work by [74], [56] and others have demonstrated that efficient octree based incompressible flow solvers are feasible, even in the context of complex objects and free surface flows.”
An accurate adaptive solver for surface-tension-driven interfacial flows (2009, methodology): “Details regarding the quad/octree spatial discretisation, multilevel Poisson solver, approximate projection and momentum advection scheme can be found in [35].”
A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies (2005, methodology): “Cut-cell formulations applicable to three-dimensional problems with stationary immersed boundaries have been proposed in [16–18] and [19].”
An Octree-Based Approach towards Efficient Variational Range Data Fusion (2016, background): “The authors of [20] claim to have the first single-pass hierarchical-based approach for incompressible Euler equations based on multi-grids, although earlier works (e.”
Height functions for applying contact angles to 2D VOF simulations (2008, methodology): “Numerical model The basis for the numerical model is an early version of Gerris [26, 27], at the time a variable density incompressible Euler solver based on the work of Almgren et al.”
Capillary effects on wave breaking (2015, methodology): “Gerris flow solver The open source flow solver Gerris described in Popinet (2003, 2009) is used is this study.”
A cartesian grid embedded boundary method for the heat equation and poisson's equation in three dimensions (2004, result): “There have been a number of other investigators using similar approaches working in two dimensions [17] or in the context of specific applications problems in three dimensions [9,14].”
Secondary breakup of a drop at moderate Weber numbers (2015, neutral): “The discretized equations are written as [43]”
A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations (2015, background): “This draws on previous work by the author [37] but is the first generalisation of the approach to coupled vector unknowns.”