Abstract
A numerical algorithm has been developed to solve the incompressible magnetohydrodynamics (MHD) equations in a fully coupled form in two- and three-dimensions. The numerical approach is based on the side centered unstructured nite volume approximation where the velocity and magnetic led vector components are defined at the edge/face midpoints, meanwhile the pressure term is defined at the element centroids. In order to enforce a divergence free magnetic eld, a magnetic pressure is introduced to the induction equation. The resulting large-scale algebraic linear equations are solved using a one-level restricted additive Schwarz preconditioner with a block-incomplete factorization within each partitioned sub-domains. The parallel implementation of the present fully coupled unstructured MHD solver is based on the PETSc library for improving the e ciency of the parallel algorithm. The numerical algorithm is validated for 2D and 3D lid-driven cavity ows with insulating walls.
| Original language | English |
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| Publication status | Published - 2018 |
| Event | 10th International Conference on Computational Fluid Dynamics, ICCFD 2018 - Barcelona, Spain Duration: 9 Jul 2018 → 13 Jul 2018 |
Conference
| Conference | 10th International Conference on Computational Fluid Dynamics, ICCFD 2018 |
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| Country/Territory | Spain |
| City | Barcelona |
| Period | 9/07/18 → 13/07/18 |
Bibliographical note
Publisher Copyright:© ICCFD 2018.
Keywords
- Incompressible magnetohydrodynamics
- Lid-driven cavity
- Monolithic approach
- Semi-staggered finite volume method