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......
Correction to: Alignment dynamics of diffusive scalar gradient in a two-dimensional model flow
Theoretical and Computational Fluid Dynamics - Tập 32 - Trang 535-535 - 2018
In the original publication, the inline equations under the section ‘5.1.1 Prevailing strain’ are incorrect. They have been identified as follows.
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......
Convectively coupled wave–environment interactions
Theoretical and Computational Fluid Dynamics - Tập 27 - Trang 513-532 - 2012
In the tropical atmosphere, waves can couple with water vapor and convection to form large-scale coherent structures called convectively coupled waves (CCWs). The effects of water vapor and convection lead to CCW–mean flow interactions that are different from traditional wave–mean flow interactions in many ways. CCW–mean flow interactions are studied here in two types of models: a multiscale model......
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. ......
Numerical realization of helical vortices: application to vortex instability
Theoretical and Computational Fluid Dynamics - Tập 34 - Trang 1-20 - 2019
The need to numerically represent a free vortex system arises frequently in fundamental and applied research. Many possible techniques for realizing this vortex system exist but most tend to prioritize accuracy either inside or outside of the vortex core, which therefore makes them unsuitable for a stability analysis considering the entire flow field. In this article, a simple method is presented ......
A locally induced homoclinic motion of a vortex filament
Theoretical and Computational Fluid Dynamics - Tập 24 - Trang 383-387 - 2009
An exact homoclinic solution of the Da Rios–Betchov equation is derived using the Hirota bilinear equation. This solution describes unsteady motions of a linearly unstable helical or wound closed filament under the localized induction approximation.
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......
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