2026-09-18T23:39:02Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1070182022-01-13T07:53:53Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
David L. Darmofal.
Hu, Yixuan, S.M. Massachusetts Institute of Technology
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics.
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
2017-02-22T15:59:13Z
2017-02-22T15:59:13Z
2016
2016
http://hdl.handle.net/1721.1/107018
971022007
Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2016.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 113-125).
The problem of large computational costs for achieving high accuracy uid dynamics simulations remains challenging. This thesis investigates an unstructured spacetime adaptive framework for unsteady ow simulations of the compressible Navier-Stokes equations. A fully-unstructured discretization of space and time is used: for d-dimensional spatial problems, (d + 1)-dimensional meshes are generated, where time is treated as an additional dimension. A high-order discontinuous Galerkin discretization is combined with an output-based anisotropic mesh adaptation framework for numerical approximations on simplex meshes with arbitrary orientation and anisotropy. This framework has been applied to study (2 + 1)d unsteady flows around a single circular cylinder and two cylinders in tandem arrangements at Re = 100. High-order solutions with sucient degrees of freedom are able to capture ow unsteadiness, shown as a von Karman vortex street formed behind the cylinders. The adapted results are compared with time-marching solutions to determine the eciency and reliability of this method.
by Yixuan Hu.
S.M.
125 pages
eng
Massachusetts Institute of Technology
MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
http://dspace.mit.edu/handle/1721.1/7582
Aeronautics and Astronautics.
Investigation of a space-time adaptive method for bluff body flows
Thesis
application/pdf
Publication
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<Abstract>The problem of large computational costs for achieving high accuracy uid dynamics simulations remains challenging. This thesis investigates an unstructured spacetime adaptive framework for unsteady ow simulations of the compressible Navier-Stokes equations. A fully-unstructured discretization of space and time is used: for d-dimensional spatial problems, (d + 1)-dimensional meshes are generated, where time is treated as an additional dimension. A high-order discontinuous Galerkin discretization is combined with an output-based anisotropic mesh adaptation framework for numerical approximations on simplex meshes with arbitrary orientation and anisotropy. This framework has been applied to study (2 + 1)d unsteady flows around a single circular cylinder and two cylinders in tandem arrangements at Re = 100. High-order solutions with sucient degrees of freedom are able to capture ow unsteadiness, shown as a von Karman vortex street formed behind the cylinders. The adapted results are compared with time-marching solutions to determine the eciency and reliability of this method.</Abstract>
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