Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence

Tetsuya Kobara; Takayuki Aoki; Mamoru Tanahashi

doi:10.1299/kikaib.70.2791

Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence

Tetsuya Kobara, Takayuki Aoki, Mamoru Tanahashi

Tokyo Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Direct Numerical Simulation (DNS) of two-dimensional homogeneous Isotropic turbulence is conducted using the Interpolated Differential Operator (IDO) scheme, which is highly accurate numerical scheme based on spatial discretization. Fifth-order Hermite interpolation and four stage Runge-Kutta time integration methods are employed. The incompressible Navier-Stokes equation is solved by the SMAC algoritim under the same conditions (initial and boundary conditions, comparable grid number, and time step) as the spectral method. It is found that the present IDO scheme has almost comparable accuracy with that of the spectral method in all the statistical quantities and the energy spectrum.

Original language	English
Pages (from-to)	2791-2797
Number of pages	7
Journal	Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Volume	70
Issue number	699
DOIs	https://doi.org/10.1299/kikaib.70.2791
State	Published - Nov 2004
Externally published	Yes

Keywords

Computational Fluid Dynamics
Direct Numerical Simulation
Interpolated Differential Operator
Turbulent Flow

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10.1299/kikaib.70.2791

Cite this

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title = "Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence",

abstract = "Direct Numerical Simulation (DNS) of two-dimensional homogeneous Isotropic turbulence is conducted using the Interpolated Differential Operator (IDO) scheme, which is highly accurate numerical scheme based on spatial discretization. Fifth-order Hermite interpolation and four stage Runge-Kutta time integration methods are employed. The incompressible Navier-Stokes equation is solved by the SMAC algoritim under the same conditions (initial and boundary conditions, comparable grid number, and time step) as the spectral method. It is found that the present IDO scheme has almost comparable accuracy with that of the spectral method in all the statistical quantities and the energy spectrum.",

keywords = "Computational Fluid Dynamics, Direct Numerical Simulation, Interpolated Differential Operator, Turbulent Flow",

author = "Tetsuya Kobara and Takayuki Aoki and Mamoru Tanahashi",

year = "2004",

month = nov,

doi = "10.1299/kikaib.70.2791",

language = "English",

volume = "70",

pages = "2791--2797",

journal = "Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B",

issn = "0387-5016",

publisher = "Japan Society of Mechanical Engineers",

number = "699",

}

Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence. / Kobara, Tetsuya; Aoki, Takayuki; Tanahashi, Mamoru.
In: Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, Vol. 70, No. 699, 11.2004, p. 2791-2797.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence

AU - Kobara, Tetsuya

AU - Aoki, Takayuki

AU - Tanahashi, Mamoru

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Y1 - 2004/11

N2 - Direct Numerical Simulation (DNS) of two-dimensional homogeneous Isotropic turbulence is conducted using the Interpolated Differential Operator (IDO) scheme, which is highly accurate numerical scheme based on spatial discretization. Fifth-order Hermite interpolation and four stage Runge-Kutta time integration methods are employed. The incompressible Navier-Stokes equation is solved by the SMAC algoritim under the same conditions (initial and boundary conditions, comparable grid number, and time step) as the spectral method. It is found that the present IDO scheme has almost comparable accuracy with that of the spectral method in all the statistical quantities and the energy spectrum.

AB - Direct Numerical Simulation (DNS) of two-dimensional homogeneous Isotropic turbulence is conducted using the Interpolated Differential Operator (IDO) scheme, which is highly accurate numerical scheme based on spatial discretization. Fifth-order Hermite interpolation and four stage Runge-Kutta time integration methods are employed. The incompressible Navier-Stokes equation is solved by the SMAC algoritim under the same conditions (initial and boundary conditions, comparable grid number, and time step) as the spectral method. It is found that the present IDO scheme has almost comparable accuracy with that of the spectral method in all the statistical quantities and the energy spectrum.

KW - Computational Fluid Dynamics

KW - Direct Numerical Simulation

KW - Interpolated Differential Operator

KW - Turbulent Flow

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JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

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ER -

Interpolated Differential Operator (IDO) scheme for direct numerical simulation of two-dimensional homogeneous isotropic turbulence

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Keywords

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