A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows

2004 ◽  
Vol 46 (1) ◽  
pp. 59-84 ◽  
Author(s):  
Chin Hoe Tai ◽  
Yong Zhao
Keyword(s):  
Finite Volume ◽  
Multigrid Method ◽  
Viscous Flows ◽  
Efficient Computation ◽  
Incompressible Viscous Flows

Parallel Computation of Unsteady Incompressible Viscous Flows Using an Unstructured Multigrid Method

2002 ◽  
Author(s):  
Yong Zhao ◽  
Chin Hoe Tai
Keyword(s):  
Unsteady Flow ◽  
Message Passing ◽  
Message Passing Interface ◽  
Multigrid Method ◽  
Numerical Solutions ◽  
Viscous Flows ◽  
Finite Volume Scheme ◽  
Decomposition Approach ◽  
Incompressible Viscous Flows ◽  
Multigrid Solvers

The development and validation of a parallel unstructured non-nested multigrid method for simulation of unsteady incompressible viscous flow is presented. The Navier-Stokes solver is based on the artificial compressibility method (ACM) [10] and a higher-order characteristics-based finite-volume scheme [8] on unstructured multigrids. Unsteady flow is calculated with an implicit dual time stepping scheme. The parallelization of the solver is achieved by a multigrid domain decomposition approach (MG-DD), using the Single Program Multiple Data (SPMD) programming paradigm and Message-Passing Interface (MPI) for communication of data. The parallel codes using single grids and multigrids are used to simulate steady and unsteady incompressible viscous flows over a circular cylinder for validation and performance evaluation purposes. Speedups and parallel efficiencies obtained by both the parallel single-grid and multigrid solvers are reasonably good for both test cases, using up to 32 processors on the SGI Origin 2000. A maximum speedup of 12 could be achieved on 16 processors for the unsteady flow. The parallel results obtained agree well with those of serial solvers and with numerical solutions obtained by other researchers, as well as experimental measurements.

A local adaptive remeshing procedure for unsteady incompressible viscous flows

2020 ◽  
Author(s):  
Etienne Muller ◽  
Yohann Vautrin ◽  
Dominique Pelletier ◽  
Andre Garon
Keyword(s):  
Viscous Flows ◽  
Adaptive Remeshing ◽  
Incompressible Viscous Flows

Explicit and semi-implicit CBS procedures for incompressible viscous flows

2006 ◽  
Vol 66 (10) ◽  
pp. 1618-1640 ◽  
Author(s):  
N. Massarotti ◽  
F. Arpino ◽  
R. W. Lewis ◽  
P. Nithiarasu
Keyword(s):  
Viscous Flows ◽  
Incompressible Viscous Flows

scholarly journals A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies

2010 ◽  
Vol 3 (2) ◽  
pp. 237-253 ◽  
Author(s):  
Paul Deuring ◽  
◽  
Stanislav Kračmar ◽  
Šárka Nečasová ◽  
◽  
...  
Keyword(s):  
Viscous Flows ◽  
Representation Formula ◽  
Incompressible Viscous Flows
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