Abstract
We report on our efforts towards the design of efficient parallel hierarchical iterative methods for the solution of sparse and irregularly structured linear systems resulting from CFD applications. The solution strategies considered here share a central numerical kernel which consists in a linear multigrid by volume agglomeration method. Starting from this method, we study two parallel solution strategies. The first variant results from a direct intra-grid parallelization of multigrid operations on coarse grids. The second variant is based on an additive Schwarz domain decomposition algorithm which is formulated at the continuous level through the introduction of specific interface conditions. In this variant, the linear multigrid by volume agglomeration method is used to approximately solve the local systems obtained at each iteration of the Schwarz algorithm. As a result, the proposed hybrid domain decomposition/multigrid method can be viewed as a particular form of parallel multigrid in which multigrid acceleration is applied on a subdomain basis, these local calculations being coordinated by an appropriate domain decomposition iteration at the global level. The parallel performances of these two parallel multigrid methods are evaluated through numerical experiments that are performed on several clusters of PCs with different computational nodes and interconnection networks.
| Language | English |
|---|---|
| Pages | 503-525 |
| Number of pages | 23 |
| Journal | Parallel Computing |
| Volume | 30 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 30 Apr 2004 |
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Keywords
- computational fluid dynamics (CFD)
- domain decomposition method
- multigrid method
- parallel computing
- triangular meshes
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Parallel multigrid methods for the calculation of unsteady flows on unstructured grids : algorithmic aspects and parallel performances on clusters of PCs. / Dolean, V.; Lanteri, S.
In: Parallel Computing, Vol. 30, No. 4, 30.04.2004, p. 503-525.Research output: Contribution to journal › Article
TY - JOUR
T1 - Parallel multigrid methods for the calculation of unsteady flows on unstructured grids
T2 - Parallel Computing
AU - Dolean, V.
AU - Lanteri, S.
PY - 2004/4/30
Y1 - 2004/4/30
N2 - We report on our efforts towards the design of efficient parallel hierarchical iterative methods for the solution of sparse and irregularly structured linear systems resulting from CFD applications. The solution strategies considered here share a central numerical kernel which consists in a linear multigrid by volume agglomeration method. Starting from this method, we study two parallel solution strategies. The first variant results from a direct intra-grid parallelization of multigrid operations on coarse grids. The second variant is based on an additive Schwarz domain decomposition algorithm which is formulated at the continuous level through the introduction of specific interface conditions. In this variant, the linear multigrid by volume agglomeration method is used to approximately solve the local systems obtained at each iteration of the Schwarz algorithm. As a result, the proposed hybrid domain decomposition/multigrid method can be viewed as a particular form of parallel multigrid in which multigrid acceleration is applied on a subdomain basis, these local calculations being coordinated by an appropriate domain decomposition iteration at the global level. The parallel performances of these two parallel multigrid methods are evaluated through numerical experiments that are performed on several clusters of PCs with different computational nodes and interconnection networks.
AB - We report on our efforts towards the design of efficient parallel hierarchical iterative methods for the solution of sparse and irregularly structured linear systems resulting from CFD applications. The solution strategies considered here share a central numerical kernel which consists in a linear multigrid by volume agglomeration method. Starting from this method, we study two parallel solution strategies. The first variant results from a direct intra-grid parallelization of multigrid operations on coarse grids. The second variant is based on an additive Schwarz domain decomposition algorithm which is formulated at the continuous level through the introduction of specific interface conditions. In this variant, the linear multigrid by volume agglomeration method is used to approximately solve the local systems obtained at each iteration of the Schwarz algorithm. As a result, the proposed hybrid domain decomposition/multigrid method can be viewed as a particular form of parallel multigrid in which multigrid acceleration is applied on a subdomain basis, these local calculations being coordinated by an appropriate domain decomposition iteration at the global level. The parallel performances of these two parallel multigrid methods are evaluated through numerical experiments that are performed on several clusters of PCs with different computational nodes and interconnection networks.
KW - computational fluid dynamics (CFD)
KW - domain decomposition method
KW - multigrid method
KW - parallel computing
KW - triangular meshes
UR - http://www.scopus.com/inward/record.url?scp=2442648022&partnerID=8YFLogxK
UR - https://www.sciencedirect.com/journal/parallel-computing
U2 - 10.1016/j.parco.2004.03.002
DO - 10.1016/j.parco.2004.03.002
M3 - Article
VL - 30
SP - 503
EP - 525
JO - Parallel Computing
JF - Parallel Computing
SN - 0167-8191
IS - 4
ER -