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Gerris: A Tree-Based Adaptive Solver For The Incompressible Euler Equations In Complex Geometries (2003)
| Venue: | J. Comp. Phys |
| Citations: | 100 - 16 self |
BibTeX
@ARTICLE{Popinet03gerris:a,
author = {Stéphane Popinet},
title = {Gerris: A Tree-Based Adaptive Solver For The Incompressible Euler Equations In Complex Geometries},
journal = {J. Comp. Phys},
year = {2003},
volume = {190},
pages = {572--600}
}
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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.
Keyphrases
complex geometry incompressible euler equation tree-based adaptive solver source code complex solid boundary adaptive mesh projection method quad octree discretisation volume-of-fluid approach multilevel poisson solver flow feature quad octrees time-dependent incompressible euler equation refined grid efficient tracking second-order convergence method implementation
