Author(s)

Kei Ito, Tomoaki Kunugi, Hiroyuki Ohshima

Advanced Nuclear System Research and Development Directorate, Japan Atomic Energy Agency, Ibaraki, Japan.
Department of Nuclear Engineering, Kyoto University, Kyoto, Japan.
dvanced Nuclear System Research and Development Directorate, Japan Atomic Energy Agency, Ibaraki, Japan.

In this study, a new high-precision numerical simulation scheme for vortical flows (vortex-based scheme) is proposed. This scheme identifies a vortical flow in each computational cell, and then, reconstructs a vortical velocity distribution based on the Burgers vortex model. In addition, a pressure distribution in the vicinity of the vortex center is also reconstructed. The momentum transfer is calculated with the reconstructed velocity and pressure distributions, and therefore, the vortex-based scheme can simulate vortical flows more accurately than the conventional schemes. In fact, as the simulation result of inviscid vortex attenuation problem, the vortex-based scheme shows lower simulation error compared to the conventional discretization schemes. Moreover, also in the numerical simulation of the quasi-steady vortical flow, the simulation accuracy of the vortex-based scheme is superior to those of the conventional schemes.

Computational Fluid Dynamics; Numerical Scheme; Vortex Cavitation; Burgers Vortex Theory

K. Ito, T. Kunugi and H. Ohshima, "High-Precision Numerical Scheme for Vortical Flow," Applied Mathematics, Vol. 4 No. 10A, 2013, pp. 17-25. doi: 10.4236/am.2013.410A1004.