Improved spectral volume method (SV+ method) for hybrid unstructured mesh

Yuta Sawaki, Takanori Haga, Yousuke Ogino, Soshi Kawai, Keisuke Sawada

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The conventional spectral volume (SV) method for three-dimensional tetrahedral unstructured meshes is extended to use hybrid unstructured meshes comprised of tetrahedral, prismatic and hexahedral cells. This extended SV method is named as SV+ method. In the test calculation of turbulent boundary layer flow over a flat plate, the computational time per one time step using the hybrid mesh is found to be almost halved. In addition, the convergence rate is drastically improved because skewed tetrahedral cells no longer exist in the boundary layer region. Furthermore, a hierarchical subdivision of hexahedral cells enables to incorporate adaptive mesh refinement (AMR) and h-multigrid approach into the present SV+ method. In order to show the capability of the present SV+ method in AMR mode, typical test problems of the steady flowfield over a OAT15A airfoil and also the unsteady vortical transport problem are solved. It is shown that the spatial accuracy of the present SV+ method is well retained for these test problems even when hanging nodes appear in the computational mesh. It is also shown that the convergence rate for solving a diffusion equation is drastically improved by utilizing hp-multigrid in the present SV+ method.

Original languageEnglish
Title of host publication54th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624103933
Publication statusPublished - 2016
Event54th AIAA Aerospace Sciences Meeting, 2016 - San Diego, United States
Duration: 2016 Jan 42016 Jan 8

Publication series

Name54th AIAA Aerospace Sciences Meeting


Conference54th AIAA Aerospace Sciences Meeting, 2016
Country/TerritoryUnited States
CitySan Diego


Dive into the research topics of 'Improved spectral volume method (SV+ method) for hybrid unstructured mesh'. Together they form a unique fingerprint.

Cite this