| Title: |
Lower-order refined preconditioning for the spectral/hp element method for complex, 3D geometries |
| Authors: |
Khurana, Parv; Sherwin, Spencer J.; Hoessler, Julien; Moxey, David; Chatzopoulos, Athanasios |
| Source: |
Khurana, P, Sherwin, S J, Hoessler, J, Moxey, D & Chatzopoulos, A 2024, 'Lower-order refined preconditioning for the spectral/hp element method for complex, 3D geometries', World Congress in Computational Mechanics and ECCOMAS Congress, vol. 2024. https://doi.org/10.23967/eccomas.2024.280 |
| Publication Year: |
2024 |
| Collection: |
King's College, London: Research Portal |
| Subject Terms: |
Incompressible Navier-Stokes; Lower-order refined; Preconditioning; Pressure Poisson; Spectral hp/element methods |
| Description: |
The current work presents the incorporation of the Lower-Order Refined (LOR) precondi- tioner within the incompressible Navier-Stokes equations solver of the open-source spectral/hp element method framework Nektar++. This preconditioner is constructed on a low-order (P=1) finite element discretisation spectrally equivalent to a given high-order discretisation. The LOR preconditioner pro- vides advantages like low cost operator evaluations, constant memory requirement per degree of freedom, minimal sensitivity to high aspect-ratio elements and controlled iterative condition number with increasing problem size. The contribution extends to developing a functional LOR preconditioner tailored for mixed-element 3D mesh configurations, encompassing both prismatic and tetrahedral elements, allowing usage for complex geometries requiring unstructured 3D meshes with boundary layers. Notably, the Nektar++ implementation is the first instance of using the LOR preconditioner with a modal expansion basis function. This study presents the iterative performance and scaling of the proposed preconditioner to solve the pressure Poisson system arising from the incompressible Navier-Stokes equations solver for industrial test cases relevant to the context of race-car aerodynamics. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.23967/eccomas.2024.280 |
| Availability: |
https://kclpure.kcl.ac.uk/portal/en/publications/4fd495d6-efd5-49eb-895a-d2fe864fe545; https://doi.org/10.23967/eccomas.2024.280; https://www.scopus.com/pages/publications/105012424996 |
| Rights: |
info:eu-repo/semantics/openAccess |
| Accession Number: |
edsbas.C4BABE6A |
| Database: |
BASE |