A conservative overlap method for multi-block parallelization of compact finite-volume schemes
A conservative approach for MPI-based parallelization of tridiagonal compact schemes is developed in the context of multi-block finite-volume methods. For each block, an enlarged linear system is solved by overlapping a certain number of neighbour cells from adjacent sub-domains. The values at block...
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/365484 |
| Online Access: | https://hdl.handle.net/2117/365484 https://dx.doi.org/10.1016/j.compfluid.2017.10.017 |
| Access Level: | Open access |
| Keyword: | Fluid mechanics Turbulence Compact schemes Finite-volume method Local conservation MPI Parallel computing Turbulent flows Mecànica de fluids Turbulència Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids |
| Summary: | A conservative approach for MPI-based parallelization of tridiagonal compact schemes is developed in the context of multi-block finite-volume methods. For each block, an enlarged linear system is solved by overlapping a certain number of neighbour cells from adjacent sub-domains. The values at block-to-block boundary faces are evaluated by a high-order centered approximation formula. Unlike previous methods, conservation is retained by properly re-computing the common interface value between two neighbouring blocks. Numerical tests show that parallelization artifacts decrease significantly as the number of overlapping cells is increased, at some expense of parallel efficiency. A reasonable trade-off between accuracy and performances is discussed in the paper with reference to both the spectral properties of the method and the results of fully turbulent numerical simulations. |
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