Pseudospectral algorithms for Navier-Stokes simulation of turbulent flows in cylindrical geometry with coordinate singularities
- Institute for Mathematical Modeling, Moscow (Russian Federation)
We present a new family of algorithms for incompressible 3D Navier-Stokes equations in cylindrical geometry. A model problem of turbulent flow calculation in an infinite circular pipe [(r, {var_phi}, z): 0 {le} r {le} R, 0 {le} {var_phi} < 2{pi}, {vert_bar}z{vert_bar} < {infinity}] is considered and used for accuracy, stability, and efficiency estimations. Algorithms are based on Galerkin trigonometric approximation for uniform variables {var_phi}, z, on pseudospectral polynomial approximation in the r-direction (with different sets of collocation nodes) and on implicit and predictor-corrector time advancement schemes. In all cases high (infinite order) spatial accuracy is retained despite the presence of coordinate singularity at r = 0. To achieve this we exploit the behaviour of analytic functions of variables r, {var_phi}, z in the vicinity of r = 0. We analyze the advantages and disadvantages of four Navier-Stokes algorithms. 34 refs., 4 tabs.
- OSTI ID:
- 102669
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 118; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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