Adaptive mesh refinement for a sharp immersed boundary method

John C. Higgins, Oliver M.F. Browne, Christoph Brehm

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

2 Scopus citations


Advancements to an adaptive mesh refinement (AMR) method for sharp immersed boundary (IB) methods within a block-structured Cartesian mesh are presented. The block-structured Cartesian mesh is organized by a refinement level-based quad/octree data structure. The guard cell filling and prolongation-restriction operators that are used to transfer data between the different refinement levels rely on the use of guard cells which extend beyond the block boundary. In the presence of refinement jumps at the immersed boundary, the regular guard cell filling and prolongation-restriction operators fail. In this work, irregular operators are obtained which purely rely on the availability of valid solution data in the fluid domain. The method was implemented and tested within a higher-order immersed boundary method (IBM) Cartesian framework for solving the compressible Navier-Stokes equations (CNS). Error convergence studies were performed employing the method of manufactured solutions (MMS). Various test cases which utilize this method to solve different flow problems are also presented.

Original languageEnglish
Title of host publicationAIAA Scitech 2021 Forum
Number of pages21
StatePublished - 2021
EventAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2021 - Virtual, Online
Duration: Jan 11 2021Jan 15 2021

Publication series

NameAIAA Scitech 2021 Forum


ConferenceAIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2021
CityVirtual, Online

Bibliographical note

Funding Information:
This research was performed under appointment to the Rickover Fellowship Program in Nuclear Engineering sponsored by Naval Reactors Division of the National Nuclear Security Administration. Funding support was provided by the Office of Naval Research under contract N00014-19-1-2223 with Dr. Eric Marineau as program manager is gratefully acknowledged. This work was supported by the U.S. Air Force under a Phase 2 SBIR contract (FA9101-18-C-0018), with John Lafferty serving as the Technical Point of Contact. The views and conclusions contained herein are those of the authors and should not be interpreted as representing the official policies or endorsements, either expressed or implied, of the U.S. Air Force, Department of Energy, U.S. Navy, or the U.S. Government.

Publisher Copyright:
© 2021, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

ASJC Scopus subject areas

  • Aerospace Engineering


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