Stability and accuracy of the Cubic Interpolated Propagation scheme

Utsumi, Takayuki; Kunugi, Tomoaki; Aoki, Takayuki

doi:10.1016/s0010-4655(96)00153-1

Cited by 60 publications

(32 citation statements)

References 7 publications

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“…It is interesting to examine the phase error of various schemes using the method proposed by Purnell [34] and Utsumi et al [46]. Figure 3 summarizes those results.…”

Section: Mathematical Analysis Of Cipmentioning

confidence: 99%

The Constrained Interpolation Profile Method for Multiphase Analysis

Yabe

Xiao

Utsumi

2001

Journal of Computational Physics

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625

359

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“…It is interesting to examine the phase error of various schemes using the method proposed by Purnell [34] and Utsumi et al [46]. Figure 3 summarizes those results.…”

Section: Mathematical Analysis Of Cipmentioning

confidence: 99%

The Constrained Interpolation Profile Method for Multiphase Analysis

Yabe

Xiao

Utsumi

2001

Journal of Computational Physics

Self Cite

625

359

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“…In solving the Maxwell's equations, the cubic interpolated propagation (CIP) method [14][15][16][17] is used. Although the CIP method has been applied successfully to various kinds of fluid simulation, there are not so many examples of application to electromagnetic field analysis.…”

Section: Hemispherical Emission Modelmentioning

confidence: 99%

Spectral Control of Thermal Radiation using Rectangular Micro-Cavities on Emitter-Surface for Thermophotovoltaic Generation of Electricity

Hanamura

Kameya

2008

JTST

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Spectral control of thermal radiation emitted from rectangular micro-cavities made on a metal surface was investigated through numerical simulation and experiment. In the numerical simulation, thermal radiation from solid surface was dealt as hemispherical emission from point sources, and the Maxwell's equations were solved using the cubic interpolated propagation method. It was demonstrated that spherical waves emitted from inside of a cavity were spectrally selected, and that the emittance could be increased around the wavelength corresponding to the standard mode of cavity resonance. Furthermore, in experiment using rectangular micro-cavities (0.5x0.5x0.5 µm 3 ) made periodically on Ni specularly-polished surface, spectral emittance was measured in the near-infrared region. The experimental results disclosed that the emissive power only in the range of shorter wavelength than 1.2 µm was increased by the micro-cavities that played a role of a wave guide to produce cutoff effect clearly.

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“…The CIP scheme is a low-diffusive and stable scheme, and can solve hyperbolic equations of the 3rd-order accuracy in space (11), (12) . In our previous work (13) , we paid attention to the excellent features of the CIP scheme and proposed a new numerical approach to solving a water flow with a free water surface using a simple rectangular mesh system.…”

Section: Introductionmentioning

confidence: 99%

Development of CIP-Reversed Weighted Residual Method for Water Flow with Free Water Surface and Arbitrary Topography (Algorithmic Improvements and Applications)

Nakamura

Kudo

Ishikawa

2004

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

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A new numerical method for solving a flow with a free water surface and an arbitrary topography is described. The method is based on the constrained interpolation profile (CIP) scheme and the finite-element method (FEM). Although advection terms are accurately solved using the conventional CIP scheme, nonadvection terms are solved by FEM. To solve nonadvection terms, the reversed weighted residual method (RWRM) based on FEM is proposed. Using the RWRM, surface boundary conditions can be imposed on an arbitrarily curved water surface appropriately even if a simple Cartesian mesh system is employed and the surface is not fitted to the boundaries of a computational mesh. Furthermore, in this paper, an algorithmic improvement in the pressure acceleration phase is proposed. By using the improved numerical procedure, the computational cost due to a matrix-solution can be reduced efficiently. The improved CIP-RWRM solver is applied to 2-D solutions to examine its efficiency and accuracy. The computational results show good agreements with the results calculated by other numerical methods for a multiphase flow.

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Stability and accuracy of the Cubic Interpolated Propagation scheme

Cited by 60 publications

References 7 publications

The Constrained Interpolation Profile Method for Multiphase Analysis

The Constrained Interpolation Profile Method for Multiphase Analysis

Spectral Control of Thermal Radiation using Rectangular Micro-Cavities on Emitter-Surface for Thermophotovoltaic Generation of Electricity

Development of CIP-Reversed Weighted Residual Method for Water Flow with Free Water Surface and Arbitrary Topography (Algorithmic Improvements and Applications)

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