Comparison of Finite Volume and Spectral/Hp Methods on Navier-Stokes Equations for Unsteady Incompressible Flow

Pech, Jan; Louda, Petr

doi:10.14311/tpfm.2018.030

Cited by 4 publications

(4 citation statements)

References 7 publications

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“…This may be a consequence of low level of numerical noise produced in spatial coordinates if high order approximation is used. Similar observation was reported also in 2D study comparing spectral/hp element method with the finite volumes in [8]. Therefore we imposed a small disturbance to velocity field in z-coordinate to speed up development of the final structures.…”

Section: Transient Flowsupporting

confidence: 80%

Advances in simulations of heat exchange in fluid flows by high-order methods

Pech

2022

EPJ Web Conf.

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The article presents high-order simulations of heat transfer in fluid flow. Heat induced changes in material properties (density, viscosity and heat conductivity) substantially influence flow structures. The change of fluid density implies naturally the thermal expansion what results in non-homogeneous divergence of velocity and the model of evolutionary Navier-Stokes-Fourier equations is not strictly incompressible in this case. Proposed algorithm treats the model as a fully coupled system of equations. Applied method of operator splitting is promissing to become a more general concept for numerical modelling of active quantities advected by incompressible fluids. This work follows the 2D results presented during EFM 2019 and extends to 3D together with advances of the code reimplementation to current version of the Nektar++ library (open-source framework for spectral/hp finite elements). Results for various settings for both the forced/mixed and natural convection are shown.

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Section: Transient Flowsupporting

confidence: 80%

Advances in simulations of heat exchange in fluid flows by high-order methods

Pech

2022

EPJ Web Conf.

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“…The spectral/hp approach was chosen as it is promising in sense of fast/spectral convergence in comparison to finite volumes, see e.g. [7]. High order approximation in space lowers the numerical diffusion and dispersion.…”

Section: Nektar++mentioning

confidence: 99%

Numerical Investigation of Aeroelastic Flutter in Two-Dimensional Cascade of Compressor Blades

et al. 2020

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Following contribution presents numerical study of aeroelastic flutter in two-dimensional section of flat wing cascade in wind tunnel. The investigation is conducted as a parametric study of varying pitch angle of one (middle) blade in the cascade with each computational case performed on fixed computational grid. This approach can be viewed as an approximation of fluid-structure interaction realized on moving mesh. Numerical predictions were carried by means of CFD open-source codes OpenFOAM® and Nektar++. The particular aim was focused on assessment of numerical performance and accuracy of the numerical solvers as well as several turbulence models.

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“…Higher accuracy in spatial coordinates causes later onset of wake oscillation (observable around t > 120 in Figure 4, c.f. [6]). For 47 Re evolution of positions P1-P4 exhibit periodic motion, which can be described as a functional dependence on time.…”

Section: Resultsmentioning

confidence: 99%

Laminar-Turbulent Transition in View of Flow Separation from Isothermal and Heated Cylinder

Pech¹

2020

Topical Problems of Fluid Mechanics 2020

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This work presents insight to the laminar-turbulent transition in flow around cylinder through a numerical simulation, both in isothermal and heated case. The flow is modelled directly as a solution to the Navier-Stokes and Navier-Stokes-Fourier system. Reynolds numbers are considered in range 100-20000, ratio of cylinder-wall and upstream temperature is up to 1.5. Curves representing evolution of separation positions in time provide novel insight to vortex formation. Various regimes are recognized and some of them can be assigned to phenomenons described formerly in experiment.

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Comparison of Finite Volume and Spectral/Hp Methods on Navier-Stokes Equations for Unsteady Incompressible Flow

Cited by 4 publications

References 7 publications

Advances in simulations of heat exchange in fluid flows by high-order methods

Advances in simulations of heat exchange in fluid flows by high-order methods

Numerical Investigation of Aeroelastic Flutter in Two-Dimensional Cascade of Compressor Blades

Laminar-Turbulent Transition in View of Flow Separation from Isothermal and Heated Cylinder

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