Open AccessPARALLEL COMPUTATION OF ROTATING FLOWS
Author(s) -
Lars Lundin,
Vincent A. Barker,
Jens Nørkær Sørensen
Publication year - 1999
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.1999.9637117
Subject(s) - vorticity , discretization , computation , navier–stokes equations , finite difference , finite difference method , range (aeronautics) , mathematics , computer science , mathematical analysis , vortex , physics , algorithm , mechanics , engineering , aerospace engineering , compressibility
This paper deals with the simulation of 3‐D rotating flows based on the velocity‐vorticity formulation of the Navier‐Stokes equations in cylindrical coordinates. The governing equations are discretized by a finite difference method. The solution is advanced to a new time level by a two‐step process. In the first step, the vorticity at the new time level is computed using the velocity at the previous time level. In the second step, the velocity at the new time level is computed using the new vorticity. We discuss here the second part which is by far the most time‐consuming. The numerical problem is that of solving a singular, large, sparse, over‐determined linear system of equations, and the iterative method CGLS is applied for this purpose. We discuss some of the mathematical and numerical aspects of this procedure and report on the performance of our software on a wide range of parallel computers.