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Conforming to interface structured adaptive mesh refinement technique for modeling moving boundary problems

Chen, Yuhao
http://rave.ohiolink.edu/etdc/view?acc_num=osu1492428866626613

Abstract Details

2017, Master of Science, Ohio State University, Mechanical Engineering.
This thesis introduces a new computational framework relying on a non-iterative mesh generation algorithm for modeling moving boundary transient diffusion problems. In particular, we focus on simulating the activation-diffusion-controlled pitting corrosion phenomenon, which is a specific class of such problems. In order to locally adapt the FE mesh to the evolving domain morphology, we employ the Conforming to Interface Structured Adaptive Mesh Refinement (CISAMR) technique. CISAMR combines customized versions of the h-adaptivity, r-adaptivity, and sub-triangulation algorithms to transform a structured grid into a conforming mesh. One of the key advantages of this technique for modeling problems with evolving geometries is that only the elements located along the moving boundary must be modified to regenerate a conforming mesh at each time step. This feature not only facilitates the remeshing process but also reduces the error associated with projecting the solution to the nodes of the new mesh. A detailed discussion is provided on different aspect of the CISAMR implementation for modeling moving boundary problems, including the nodal projection procedure and evaluating the moving interface velocity. After presenting a detailed convergence study, we verify the accuracy of this method for modeling pitting corrosion problems by comparing results with analytical solutions and phase field simulations. Additional example problems are also presented to demonstrate the application of CISAMR for simulating corrosion problems with intricate morphologies.
Soheil Soghrati (Advisor)
Rebecca Dupaix (Committee Member)
61 p.
Mechanical Engineering
non-iterative mesh generation algorithm; modeling moving boundary transient diffusion problems

Recommended Citations

Citations

  • Chen, Y. (2017). Conforming to interface structured adaptive mesh refinement technique for modeling moving boundary problems [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492428866626613

    APA Style (7th edition)

  • Chen, Yuhao. Conforming to interface structured adaptive mesh refinement technique for modeling moving boundary problems. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1492428866626613.

    MLA Style (8th edition)

  • Chen, Yuhao. "Conforming to interface structured adaptive mesh refinement technique for modeling moving boundary problems." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492428866626613

    Chicago Manual of Style (17th edition)

osu1492428866626613
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© 2017, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.