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Adaptive Mesh Generation for Solution of Incompressible Fluid Flows using High Order Gradients


Abstract A new method of adaptive mesh generation for the computation of fluid flows is investigated. The method utilizes gradients of the flow solution to adapt the size and stretching of elements or volumes in the computational mesh as is commonly done in the conventional Hessian approach. However, in the new method, higher-order gradients are used in place of the Hessian. The method is applied to the finite element solution of the incompressible Navier-Stokes equations on model problems. Results indicate that a significant efficiency benefit is realized.
Created Date 2011
Contributor Shortridge, Randall Raymond (Author) / Chen, Kang Ping (Advisor) / Herrmann, Marcus (Advisor) / Wells, Valana (Committee member) / Huang, Huei-Ping (Committee member) / Mittelmann, Hans (Committee member) / Arizona State University (Publisher)
Subject Aerospace Engineering / Mechanical Engineering / Applied Mathematics
Type Doctoral Dissertation
Extent 92 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note Ph.D. Aerospace Engineering 2011
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis