A high-order 3D immersed interface finite difference method for the advection-diffusion equation
Name
final_AIAA_SciTech2023_James[15].pdf
Description
Accepted version
Size
1.72 MB
Format
Adobe PDF
Checksum (MD5)
c1432c9530a9e9c596fffe081e6c6907
Author(s)
Gabbard, James
van Rees, Wim M.
Date Issued
January 19, 2023
Publisher
American Institute of Aeronautics and Astronautics|AIAA SCITECH 2023 Forum
Citation
Gabbard, James and van Rees, Wim M. 2023. "A high-order 3D immersed interface finite difference method for the advection-diffusion equation."
Version
Author's final manuscript
Abstract
We present a finite-difference based immersed interface method for the high-order discretization of 3D advection-diffusion problems on regular Cartesian grids. Our approach efficiently handles convex and non-convex geometries using a weighted least squares polynomial reconstruction algorithm. We analyze the stability of the approach for 2D and 3D parabolic and hyperbolic problems and demonstrate stable convergence results at third-order for advection and at fourth and sixth order for diffusion problems. Our immersed interface approach naturally handles one-sided Dirichlet or Neumann boundary conditions as well as two-sided jump boundary conditions within the same framework, opening the door to high-order treatment of 3D interface-coupled multiphysics problems. We demonstrate the capability of our approach using a 3D conjugate heat transfer problem resolved with third-order accuracy on a multi-resolution adaptive grid.
Description
AIAA SCITECH 2023 Forum 23-27 January 2023 National Harbor, MD & Online
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-ShareAlike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.2514/6.2023-2480
