Numerical treatment of cylindrical coordinate singularities for fluid flow simulations.

Autor: Khan, Hamid Hassan, Anwer, Syed Fahad, Sanghi, Sanjeev
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2863 Issue 1, p1-8, 8p
Abstrakt: Finite-difference collocated schemes are employed to solve incompressible flow in cylindrical coordinates. Pressure Poisson equation for a cylindrical coordinate is derived using predictor-corrector step similar to Simplified Marker and Cell (SMAC) method. The central theme of the present work is to solve cylindrical coordinate fluid flow problems using the SMAC scheme and the treatment of singularity at the pole. The robustness of the developed code is checked through different numerical problems. The unsteady incompressible flow simulation is performed. The cylindrical coordinate numerical schemes are assessed through the benchmark problem of the lid-driven polar cavity. Rotating annuli is the perfect problem to check the periodic condition in the theta direction. Subsequently, the singularity at the pole is checked through a rotating disk problem and flows through the pipe. It is observed that the SMAC scheme and node-based collocated grid pole-treatment solves the flow in rotating disk and pipe. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index