A hermitian-fourier numerical method for solving the incompressible navier-stokes equations

Schiestel, Roland; Viazzo, Stéphane

doi:10.1016/0045-7930(95)00007-y

Cited by 26 publications

(26 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Indeed, the skew-symmetric form proved to possess nice conservation properties, even on shifted grids [12,1] …”

Section: Navier-stokes Equationsmentioning

confidence: 99%

“…Recently, compact di erencing approximations have been applied to DNS and LES. In particular, applications of such methods for simulation of turbulence are reported by Kral and Zang [9], Guo and Adams [10] and Schiestel and Viazzo [1].…”

Section: Introductionmentioning

confidence: 96%

“…This is the case for instance for numerous developing ows that are two-dimensional in the mean such as jets and boundary layer ows. This extension developed in the present work is not just an outgrowth of the Schiestel and Viazzo [1] method, but it embodies several important new aspects corresponding to a di erent computer code.…”

Section: Introductionmentioning

confidence: 96%

“…The basic concepts were originally developed by Schiestel and Viazzo [1] and applied to compute ows involving two directions with periodic boundary conditions and a third one with non-periodic boundary conditions. The new extension proposed here enables to deal with more complex situations and especially ows involving two non-homogeneous directions, thus enlarging the ÿeld of applications.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A high‐order finite difference method for incompressible fluid turbulence simulations

Vedy¹,

Viazzo²,

Schiestel³

2003

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYA Hermitian-Fourier numerical method for solving the Navier-Stokes equations with one non-homogeneous direction had been presented by Schiestel and Viazzo (Internat. J. Comput. Fluids 1995; 24(6):739). In the present paper, an extension of the method is devised for solving problems with two non-homogeneous directions. This extension is indeed not trivial since new algorithms will be necessary, in particular for pressure calculation. The method uses Hermitian ÿnite di erences in the non-periodic directions whereas Fourier pseudo-spectral developments are used in the remaining periodic direction. Pressure-velocity coupling is solved by a simpliÿed Poisson equation for the pressure correction using direct method of solution that preserves Hermitian accuracy for pressure. The turbulent ow after a backward facing step has been used as a test case to show the capabilities of the method. The applications in view are mainly concerning the numerical simulation of turbulent and transitional ows.

show abstract

“…Indeed, the skew-symmetric form proved to possess nice conservation properties, even on shifted grids [12,1] …”

Section: Navier-stokes Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A high‐order finite difference method for incompressible fluid turbulence simulations

Vedy¹,

Viazzo²,

Schiestel³

2003

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

“…The compact finite difference code employs the internal iterations technique. 27 This method uses operator splitting for the time advancement of the Navier-Stokes equations, but the pressure correction step is performed iteratively. Otherwise, using a standard pressure correction step with compact finite difference discretization would result in a rather complicated discrete Poisson operator.…”

Section: Numerical Methods and Model Implementation A Decaying mentioning

confidence: 99%

A physical-space version of the stretched-vortex subgrid-stress model for large-eddy simulation

2000

View full text Add to dashboard Cite

A physical-space version of the stretched-vortex subgrid-stress model is presented and applied to large-eddy simulations of incompressible flows. This version estimates the subgrid-kinetic energy required for evaluation of the subgrid-stress tensor using local second-order structure-function information of the resolved velocity field at separations of order the local cell size. A relation between the structure function and the energy spectrum is derived using the kinematic assumptions of the stretched-vortex model for locally homogeneous anisotropic turbulence. Results of large-eddy simulations using this model are compared to experimental and direct numerical simulation data. Comparisons are shown for the decay of kinetic energy and energy spectra of decaying isotropic turbulence and for mean velocities, root-mean-square velocity fluctuations and turbulence-kinetic energy balances of channel flow at three different Reynolds numbers.

show abstract

Bibliography

2008

Modeling and Simulation of Turbulent Flows

View full text Add to dashboard Cite

A hermitian-fourier numerical method for solving the incompressible navier-stokes equations

Cited by 26 publications

References 8 publications

A high‐order finite difference method for incompressible fluid turbulence simulations

A high‐order finite difference method for incompressible fluid turbulence simulations

A physical-space version of the stretched-vortex subgrid-stress model for large-eddy simulation

Bibliography

Contact Info

Product

Resources

About