Interpolated Differential Operator (IDO) Scheme for Direct Numerical Simulation of Two-Dimensional Homogeneous Isotropic Turbulence

Kobara, Tetsuya; Aoki, Takayuki; Tanahashi, Mamoru

doi:10.1299/kikaib.70.2791

Cited by 2 publications

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“…The approximately comparable result has been achieved to that of spectral methods for DNS of homogeneous isotropic turbulence [16]. However, the detailed accuracy and stability of the IDO scheme still remains unclear.…”

Section: Introductionmentioning

confidence: 73%

Accuracy study of the IDO scheme by Fourier analysis

Imai

Aoki

2006

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 73%

Accuracy study of the IDO scheme by Fourier analysis

Imai

Aoki

2006

Journal of Computational Physics

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“…It was reported that DNS for two-dimensional homogeneous isotropic turbulence using the original IDO scheme has almost comparable accuracy with that of the spectral method in all the statistical quantities and the energy spectrum (19) . The governing equations are given by the incompressible Navier-Stokes equation,…”

Section: Numerical Experiments For Two-dimensional Homogeneous Isotropmentioning

confidence: 99%

“…With sufficiently high-resolution grids, the center interpolation gives a more accurate result for the advection equation (19) . The two-dimensional advection equation with the constant velocities u = 1.0 and v = 1.0 and its differentiated equations are…”

Section: Advection Equationmentioning

confidence: 99%

“…The equations are solved using the SMAC algorithm (19), (22) . Equation (59) includes the advection term and the diffusion term, and the pressure is solved semi-implicitly by the Poisson equation.…”

Section: Numerical Experiments For Two-dimensional Homogeneous Isotropmentioning

confidence: 99%

“…We have developed the Interpolated Differential Operator (IDO) scheme (12) - (19) for solving various types of partial differential equation with high accuracy and stability. The IDO scheme is also categorized as a multimoment scheme, because it uses Hermite interpolation similar to that of the CIP scheme.…”

Section: Introductionmentioning

confidence: 99%

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Fourth-Order Accurate IDO Scheme Using Gradient-Staggered Interpolation

Imai

Aoki

2004

JSME international journal. Ser. B, Fluids and thermal engineer

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An Interpolated Differential Operator (IDO) scheme using a new interpolation function is proposed. The gradient of the dependent variable is calculated at the position shifted by a half grid size from that of the physical value. A fourth-order Hermite-interpolation function is constructed locally using both the value and the gradient defined at staggered positions. The numerical solutions for the Poisson, diffusion, advection and wave equations have fourthorder accuracy in space. In particular, for the Poisson and diffusion equations, the GradientStaggered (G-S) IDO scheme shows better accuracy than the original IDO scheme. As a practical application, the Direct Numerical Simulation (DNS) for two-dimensional isotropic homogeneous turbulence is examined and a comparable result with that of the original IDO scheme is obtained. The G-S IDO scheme clearly contributes to high-accurate computations for solving partial differential equations in computational mechanics.

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Interpolated Differential Operator (IDO) Scheme for Direct Numerical Simulation of Two-Dimensional Homogeneous Isotropic Turbulence

Cited by 2 publications

References 0 publications

Accuracy study of the IDO scheme by Fourier analysis

Accuracy study of the IDO scheme by Fourier analysis

Fourth-Order Accurate IDO Scheme Using Gradient-Staggered Interpolation

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