Theoretical and Computational Fluid Dynamics
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Numerical simulation of the divergent flow regime in a circular contraction flow of a viscoelastic fluid
Theoretical and Computational Fluid Dynamics - Tập 5 - Trang 33-48 - 1993
A numerical method is used to study the influence of inertia and elongational properties on the vortex growth in the flow of a viscoelastic fluid through a four-to-one contraction. It appears that the vortex growth regime and the divergent flow regime, which are observed in experiments for some fluids, can be found for a choice of the material parameters where both the elongational stresses and th......
An experimental and numerical study of the influence of viscosity on the behavior of dam-break flow
Theoretical and Computational Fluid Dynamics - Tập 35 - Trang 345-362 - 2021
In this paper, experimental and numerical methods are presented to investigate the dam-break flow in a horizontal rectangular section flume. In the experimental part of the research, different configurations have been tested: dry flume and the presence of shallow ambient water downstream with varied depth. In addition, experiments with viscosity changes in the fluid have been conducted. Numericall......
Time-dependent modeling of oscillatory instability of three-dimensional natural convection of air in a laterally heated cubic box
Theoretical and Computational Fluid Dynamics - Tập 31 - Trang 447-469 - 2017
Transition from steady to oscillatory buoyancy convection of air in a laterally heated cubic box is studied numerically by straight-forward time integration of Boussinesq equations using a series of gradually refined finite volume grids. Horizontal and spanwise cube boundaries are assumed to be either perfectly thermally conducting or perfectly thermally insulated, which results in four different ......
Exact transport equation for eddy diffusivity in turbulent shear flow
Theoretical and Computational Fluid Dynamics - Tập 27 - Trang 651-664 - 2012
Two-equation models that treat the transport equations for two variables are typical models for the Reynolds-averaged Navier–Stokes equation. Compared to the equation for the turbulent kinetic energy, the equation for the second variable such as the dissipation rate does not have a theoretical analogue. In this work, the exact transport equation for the eddy diffusivity was derived and examined fo......
A characteristic dynamic mode decomposition
Theoretical and Computational Fluid Dynamics - Tập 33 - Trang 281-305 - 2019
Temporal or spatial structures are readily extracted from complex data by modal decompositions like proper orthogonal decomposition (POD) or dynamic mode decomposition (DMD). Subspaces of such decompositions serve as reduced order models and define either spatial structures in time or temporal structures in space. On the contrary, convecting phenomena pose a major problem to those decompositions. ......
Explosive instability of geostrophic vortices. Part 1: baroclinic instability
Theoretical and Computational Fluid Dynamics - Tập 24 - Trang 125-130 - 2009
In a quasi-geostrophic model, we study the baroclinic instability of a two-layer vortex. The singular unstable modes for potential vorticity anomalies are compared with the classical normal modes. Short-time singular modes are explosively unstable and, at short times, depend only on the baroclinic component of the flow. As time progresses, they evolve towards the normal modes and their sensitivity......
Rayleigh Conductivity and Self-Sustained Oscillations
Theoretical and Computational Fluid Dynamics - Tập 10 - Trang 187-200 - 1998
The theory of self-sustaining oscillations of low Mach number, high Reynolds number shear layers, and jets impinging on edges and corners is discussed. Such oscillations generate narrow band sound, and are usually attributed to the formation of discrete vortices whose interactions with the edge or corner produce impulsive pressures that trigger the cyclic formation of new vorticity. A linearized ......
Collision of a Solid with an Incompressible Fluid
Theoretical and Computational Fluid Dynamics - Tập 16 Số 6 - Trang 405-420 - 2003
The effect of numerical methods on the simulation of mid-ocean ridge hydrothermal models
Theoretical and Computational Fluid Dynamics - Tập 26 - Trang 225-243 - 2011
This work considers the effect of the numerical method on the simulation of a 2D model of hydrothermal systems located in the high-permeability axial plane of mid-ocean ridges. The behavior of hot plumes, formed in a porous medium between volcanic lava and the ocean floor, is very irregular due to convective instabilities. Therefore, we discuss and compare two different numerical methods for solvi......
Linear stability analysis in compressible, flat-plate boundary-layers
Theoretical and Computational Fluid Dynamics - Tập 22 - Trang 1-20 - 2007
The stability problem of two-dimensional compressible flat-plate boundary layers is handled using the linear stability theory. The stability equations obtained from three-dimensional compressible Navier–Stokes equations are solved simultaneously with two-dimensional mean flow equations, using an efficient shoot-search technique for adiabatic wall condition. In the analysis, a wide range of Mach nu......
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