Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 190, Issue 2, Pages 572-600Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0021-9991(03)00298-5
Keywords
incompressible flow; adaptive mesh refinement; approximate projection method; complex geometry
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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. (C) 2003 Elsevier Science B.V. All rights reserved.
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