Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session L13: CFD: General I
8:00 AM–10:36 AM,
Monday, November 20, 2023
Room: 143C
Chair: Peter Brady, Los Alamos National Laboratory
Abstract: L13.00011 : Verification of a hybrid discrete exterior calculus and finite difference solver for density stratified convection in spherical shells*
10:10 AM–10:23 AM
Presenter:
Hamid H Khan
(King Abdullah Univ of Sci & Tech (KAUST))
Authors:
Hamid H Khan
(King Abdullah Univ of Sci & Tech (KAUST))
Pankaj Jagad
(King Abdullah Univ of Sci & Tech (KAUST))
Matteo Parsani
(King Abdullah Univ of Sci & Tech (KAUST))
The present work utilizes a hybrid discrete exterior calculus and finite difference (DEC-FD) solver to investigate density-stratified convection in spherical shells. The discrete exterior calculus (DEC) is employed here to compute the spherical surface flow, and the finite difference (FD) is used to calculate the radial flow, following Mantravadi et al. (arXiv preprint arXiv:2210.00861) for Boussinesq convection. The discretization of governing equations is carried out through the DEC and FD methods. Our in-house developed (DEC-FD) solver is verified using the method of manufactured solution (MMS), a conventional and classical method to test a solver. The MMS approach is well-accepted for quantifying numerical methods within complex physical systems. This methodology ensures a rigorous and convincing verification of numerical accuracy through systematic grid convergence tests. By using the MMS procedure, this work verifies the order of accuracy of DEC-FD discretized equations, which is in good agreement with theoretical order. Furthermore, simulations at different density ratios demonstrate the hybrid DEC-FD solver assessment for stratified convection in a basally heated spherical shell.
Acknowledgements
This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award URF/1/4342-01. For computer time, this research used the Cray XC40, Shaheen II, of the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.
*This publication is based upon work supported by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award URF/1/4342-01.
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