 An octree structured finite volume based solverMarcos Antonio de Souza Lourenço and Elie Luis Martínez Padilla Applied Mathematics and Computation, 2020, vol. 365, issue C Abstract: 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. Keywords: Navier–Stokes equations; Mesh generation; Adaptive mesh refinement; Incompressible fluid flow; Octree structure; Parallel simulation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:365:y:2020:i:c:s0096300319307131 DOI: 10.1016/j.amc.2019.124721 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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