Subgrid-Scale Modeling of Turbulent Flow Around Circular Cylinder by Mesh-Free Vortex Method

Abstract

This paper proposes a numerical model for the two-dimensional, incompressible, unsteady, turbulent flow applied to an impulsively started flow around a circular cylinder in the Reynolds number range from 110 4 to 610 5 . A Lagrangian mesh-free vortex method blended with the Large Eddy Simulation theory is employed to simulate the large-scale motion, whereas the turbulent subgrid-scale motion is modeled with an eddy viscosity coefficient, expressed in terms of the Second-Order Velocity Structure Function. The filtered vorticity field is calculated by a superposition of Lamb vortices that are generated near the body surface such that circulation is conserved and the no-slip boundary condition is explicitly imposed at a finite number of points on the cylinder. The no-penetration boundary condition is satisfied exactly on the entire cylinder surface through the application of the circle theorem. The vorticity transport equation is solved using the convective-diffusive operator-splitting algorithm, where vorticity diffusion is simulated with the random walk method and the convective motion of the vortices is integrated in time using the second-order Adams-Bashforth scheme. Numerous simulations for high Reynolds numbers are carried out to determine the numerical parameters of the model. Results for the drag coefficient and the Strouhal number as a function of the Reynolds number present satisfactory agreement with other results from the literature.

Hydrodynamic Analysis of Fluid Obstruction Around Different Geometric Bodies

“…Kozlov et al (2011) [12] simulated 2D flow on circular cylindrical objects for Re ranging from 5 to 200 by applying fast Fourier transforms used to solve the Poisson equation for rectangular networks with complex geometries. Mustto and Bodstien (2011) [13] proposed a numerical model to predict the flow characteristics around a circular cylinder for Re between 10 4 and 6*10 5 using the Lagrangian vortex technique without network in combination with the LES model to simulate motion. Wornom et al (2011) [14] conducted a computational analysis of the flow on a circular cylinder at a subcritical regime with Re up to 2*10 5 using a variational-multiscale LES method.…”

Numerical simulation of flow past a triangular prism with fluid–structure interaction

“…The problem of flow around the objects is one of the classical problems in fluid mechanics (Graf & Yulistiyanto, 1998). Under certain conditions, the boundary layer is separated from the surface of the object, which forms the wake region (Mustto & Bodstein, 2011). At lower values of Reynolds number (Re), this wake region is stably enclosed between the separated streamlines of the free stream (Camarri, Salvetti, & Buresti, 2006).…”

“…A large number of numerical simulations has also been completed (Ghalandari, Mirzadeh Koohshahi, Mohamadian, Shamshirband, & Chau, 2019;Mosavi, Shamshirband, Salwana, Chau, & Tah, 2019;Ramezanizadeh, Alhuyi Nazari, Ahmadi, & Chau, 2019), mainly focusing on the development of the flow around the object. Even though the existing research publications have rigorously demonstrated various distinctions of flow over circular and square cylinders, the scenario with respect to triangular structures seems to have been less explored (Hines, Thompson, & Lien, 2009;Mustto & Bodstein, 2011;Prasath et al, 2014). There is often a phenomenon in which the fluid flows around a pointed object in the thermal system of nuclear power plants or other engineering applications, which can be regarded as the model of the flow around a triangular prism.…”

Numerical simulation of flow past stationary and oscillating deformable circles with fluid-structure interaction

“…Guidoboni et al (2009) used modern techniques such as laser speed measurement and digital imaging to observe the periodic vortex shedding of the cylinder with Reynolds number Re = 3000-9000, and obtained the vortex shedding frequency. Mustto and Bodstein (2011) proposed a numerical model of two-dimensional incompressible unsteady turbulence applied to a pulsed starting flow around a cylinder with Re from 1×10 4 to 6×10 5 . Rajani et al (2009) simulated the flows around two-dimensional and three-dimensional cylinders.…”