Abstract
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.
Highlights
Vortex cavitation can be observed in various engineering scenes, e.g. pump sump
A new high-precision numerical simulation scheme for vortical flows is proposed. This scheme identifies a vortical flow in each computational cell, and reconstructs a vortical velocity distribution based on the Burgers vortex model
A fundamental experiment is conducted to investigate the influence of the dynamic viscosity on the onset condition [2], and some scale model tests are conducted to check the dependency on the local structural geometry and the effect of countermeasure obstacles [3]
Summary
Vortex cavitation can be observed in various engineering scenes, e.g. pump sump. in usual, the occurrence of the vortex cavitation is not favorable because the vibration of structural components and/or the noise can be induced by the vortex cavitation. In the numerical study, a high-precision simulation algorithm for sub-surface vortex flows is under development, in which a unstructured mesh scheme is employed to model accurately. It is very difficult to reproduce the velocity distribution at the vicinity of the core of the sub-surface vortex In this case, a very fine mesh at the vicinity of the vortex core and/or a high-precision numerical simulation scheme should be employed to simulate the sub-surface vortex accurately. In our new high-precision scheme, a vortical flow is identified in each cell and the vortical velocity distribution at the vicinity of the vortex center is reconstructed locally based on the Burgers vortex theory [8]. Formulation of High-Precision Numerical Scheme for Vortical Flow (Vortex-Based Scheme)
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