An octree structured finite volume based solver

The present work describes the development of a parallel distributed-memory implementation, of an octree data structure, linked to an adaptive cartesian mesh to solve the Navier–Stokes equations. The finite volume method was used in the spatial discretization where the advective and diffusive terms...

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Bibliographic Details
Published in:Applied mathematics and computation 2020-01, Vol.365, p.124721, Article 124721
Main Authors: Lourenço, Marcos Antonio de Souza, Padilla, Elie Luis Martínez
Format: Article
Language:English
Subjects:
Adaptive mesh refinement
Incompressible fluid flow
Mesh generation
Navier–Stokes equations
Octree structure
Parallel simulation
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Summary:The present work describes the development of a parallel distributed-memory implementation, of an octree data structure, linked to an adaptive cartesian mesh to solve the Navier–Stokes equations. The finite volume method was used in the spatial discretization where the advective and diffusive terms were approximated by the central differences method. The temporal discretization was accomplished using the Adams–Bashforth method. The velocity-pressure coupling is done using the fractional-step method of two steps. Moreover, all simulated results were obtained using a external solver for the Poisson equation, from the pressure correction, in the fractional step method. Results are presented both for adaptive octree mesh and for a mesh without refinement. These were determined in the verification and validation processes for the present computational code. Finally, we consider the simulations for the problems of a laminar jet and the lid-driven cavity flow. Numerical results are compared with numerical and experimental data.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.124721