Hinge method for immersed boundary problems and micro-scale carbon fiber material response

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations


A new method developed for immersed boundary problems is presented. With this method, the fluxes through the computational faces are controlled using a so-called “hinge” matrix. The method is simple to implement, and is comparable in accuracy to other immersed boundary methods, such as the Cartesian grid method. However, by using the hinge matrix to control the fluxes, complex interpolations are avoided. The hinge method is verified by solving the energy conservation and the solid mechanics equations over an irregular geometry. The results shows that spatial accuracy is maintained even when a coarse mesh is used. The method is then applied to carbon fiber modeling, where pits are formed due to oxidation. Results show that the pits will slightly re-distribute the temperature under the condition where no heat flux is imposed on the pitted surfaces.

Original languageEnglish
Number of pages19
StatePublished - Jan 6 2020
EventAIAA Scitech Forum, 2020 - Orlando, United States
Duration: Jan 6 2020Jan 10 2020


ConferenceAIAA Scitech Forum, 2020
Country/TerritoryUnited States

Bibliographical note

Funding Information:
The authors would like to thank T. Schwartzentruber from the University of Minnesota for facilitating this work. The authors would also acknowledge E. Stern (NASA Ames), together with B. Bagley in the X-ray Computed Tomography lab at the University of Minnesota, for obtaining the SEM images of oxidized fibers. Support for this work was provided by NASA SpaceTechREDDI2017 ESI 80NSSC18K0261.

Publisher Copyright:
© 2020, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

ASJC Scopus subject areas

  • Aerospace Engineering


Dive into the research topics of 'Hinge method for immersed boundary problems and micro-scale carbon fiber material response'. Together they form a unique fingerprint.

Cite this