A p-multigrid compact gas-kinetic scheme for steady-state acceleration. (15th June 2022)
- Record Type:
- Journal Article
- Title:
- A p-multigrid compact gas-kinetic scheme for steady-state acceleration. (15th June 2022)
- Main Title:
- A p-multigrid compact gas-kinetic scheme for steady-state acceleration
- Authors:
- Ji, Xing
Shyy, Wei
Xu, Kun - Abstract:
- Abstract: In this paper, the high-order compact gas-kinetic scheme (CGKS) on three-dimensional hybrid unstructured mesh is further developed with the p-multigrid technique for steady-state solution acceleration. The p-multigrid strategy is a two-level algorithm. On the high-order level, the CGKS with high-order compact initial reconstruction is used to evolve both cell-averaged conservative flow variables and their gradients at the beginning of next time step. On the low-order level, starting from the high-order level solution the cell-averaged conservative flow variables is evolved by a first-order scheme, where implicit backward Euler smoother is adopted for accelerating the convergence of steady-state solution. The final iterative updating scheme becomes numerically simple and computationally efficient. The effectiveness of the p-multigrid method is validated in both subsonic and supersonic flow simulations in two- and three-dimensional space with hybrid unstructured mesh. One order of magnitude speedup in the convergence rate has been achieved by the approach in comparison with the explicit counterpart. Highlights: The p-multigrid technique is firstly adopted to the compact gas-kinetic scheme. One order of magnitude speedup is achieved compared with the explicit counterpart. The resulting two-level p-multigrid compact gas-kinetic scheme is simple and robust. The effectiveness of the proposed method is validated in 2-D and 3-D flow simulations.
- Is Part Of:
- Computers & fluids. Volume 241(2022)
- Journal:
- Computers & fluids
- Issue:
- Volume 241(2022)
- Issue Display:
- Volume 241, Issue 2022 (2022)
- Year:
- 2022
- Volume:
- 241
- Issue:
- 2022
- Issue Sort Value:
- 2022-0241-2022-0000
- Page Start:
- Page End:
- Publication Date:
- 2022-06-15
- Subjects:
- Compact gas-kinetic scheme -- p-multigrid -- Navier–Stokes solution -- Hybrid mesh
Fluid dynamics -- Data processing -- Periodicals
532.050285 - Journal URLs:
- http://www.journals.elsevier.com/computers-and-fluids/ ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.compfluid.2022.105489 ↗
- Languages:
- English
- ISSNs:
- 0045-7930
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3394.690000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 21587.xml