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Parallel direction splitting for 3D incompressible Navier-Stokes equations

University of British Columbia

In this work, an efficient direction splitting algorithm for solving incompressible Navier-Stokes equations is implemented. The main feature of this method involves using the operator $A=(1-\parital_{xx})(1-\parital_{yy})(1-\parital_{zz})$ for approximately solving the pressure correction step instead of the Poisson operator used in the standard projection methods. The complexity of the algorithm is much lower as compared to the standard projection methods and it is shown to have similar convergence properties as Poisson based pressure-correction techniques. The algorithm is validated on multiple test cases, both in two and three dimensions, respectively. The method is suitable for parallel implementation and tests show excellent performance on a distributed memory cluster of up to 1,000 processors. Scalability results are reported on a three-dimensional lid-driven cavity flow for a range of processors on a large number of grid points.

Text

2019-08-26

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/71440

Mathematics

University of British Columbia

UBCV

http://creativecommons.org/licenses/by-nc-nd/4.0/