• 한국시뮬레이션학회논문지
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• 제25권3호
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• pp.15-28
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• 2016

수중환경에서 운영되는 무기체계 획득을 위한 설계/개발을 진행하기 위해 수중음향채널 모델링 및 시뮬레이션을 통한 분석은 필수적이다. 일반적으로 수중음향채널 분석을 위해 사용되는 수중음향 전파 수치해석 모델은 음선이론 법, 정규방식 법, 포물선방정식 법, 파수적분 법이 있으나 다중 주파수 분석일 경우 유효성과 신호처리 및 분석에 제한적이다. 본 논문은 단일 및 다중 주파수 분석 및 신호처리 및 분석이 용이한 기존 의사 스펙트럼 시간영역 법 수중음향 수치해석 모델에 수중환경 소음 모델을 적용하여 실제 수중환경과 유사한 합성환경 수중음향채널을 모델링 하였다. 이렇게 구현된 합성환경 수중음향채널 모델의 유효성을 확인하기 위해 단일 주파수 신호 시나리오 4가지 다중 주파수 신호 시나리오 4가지 및 잠수함 기동에 따른 방사소음 분석 시나리오 시뮬레이션을 통해 의사 스펙트럼 시간영역 법 합성환경 수중음향채널 모델 유효성을 확인하였다.

• Journal of applied mathematics & informatics
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• 제7권2호
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• pp.439-451
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• 2000

To compute derivatives using matrix vector multiplication method, new algorithms were introduced in [1.2]n By these algorithms, we reduced roundoff error in computing derivative using Chebyshev collocation methods (CCM). In this paper, some applications of these algorithms ar presented.

• 한국대기환경학회지
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• 제7권3호
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• pp.189-196
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• 1991

In recent years spectral methods have been found to be a powerful tool for the numerical solution of hynamic differential equations. The main attraction of spectral method is accuracy even though it is generally difficult to implement and solve the complex problems using spectral method. We introduced diffusion equations describing the state of air pollution and solved by pseutospectral method in dimensionless form. The results were compared with both those of other numerical methods and analytical solutions. Comparing with finite difference method and finite element method, spectral method shows the highest accuracy for one dimension problem in this study. Also, the results of two dimensional diffusion problems show good agreement with analytical solutions.

• 한국대기환경학회지
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• 제8권3호
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• pp.162-168
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• 1992

Numerical solutions to the advection equations used for long-range transport air pollution models are calculated using three numerical methods; Antidiffusion correction method(Smolarkiewicz, 1983), Positive definite advecton scheme obtained by nonlinear renormalization of the advective fluxes(Bott, 1989), and Positive definite pseudospectral method(Bartnicki, 1989). Accuracy, numerical diffusion and computational time requirement are compared for two-dimensional transport calculations in a uniform rotational flow field. The solutions from three methods are positive definite. Bartnicki(1989)'s method is most conservative but requires approximately 10 times as much computational time as Smolarkiewicz(1983)'s method of which numerical diffusion is the largest. All three methods are more conservative for a cone shape initial condition than for a rectangular block initial condition with a steep gradient.

• International Journal of Aeronautical and Space Sciences
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• 제15권2호
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• pp.183-189
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• 2014

Pseudo-spectral method typically converges at an exponential rate. However, it requires a special set of fixed collocation points (CPs) to get highly accurate formulas for partial integration and differentiation. In this study, computational nodes for defining the discrete variables of states and controls are built independently of the CPs. The state and control variables at each CP, which are required to transcribe an NOCP into the corresponding NLP, are interpolated, using those variables allocated at each node. Additionally, Lagrange interpolation and spline interpolation are investigated, to provide a guideline for selecting a favorable interpolation method. The proposed techniques are applied to the solution of an NOCP using equally spaced nodes, and the computed results are compared to those using the standard PS approach, to validate the usefulness of the proposed methods.

• 대한기계학회논문집B
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• 제27권6호
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• pp.766-772
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• 2003

The pseudospectral method for stability analysis was used to find the most influential disturbance mode for transition of plane channel flows and Blasius flow at their critical Reynolds numbers. A number of various oblique disturbance waves were investigated for their pseudospectra and resolvent norm contours in each flow, and an exhaustive search method was employed to find the disturbing waves to which the flows become most unstable. In plane Poiseuille flow an oblique disturbance with a wavelength of 3.59h (where h is the half channel width) at an angle $28.7^{\circ}$ was found to be the most influential for the flow transition to turbulence, and in plane Couette flow it is an oblique wave with a wavelength of 3.49h at an angle of $19.4^{\circ}$. But in Blasius flow it was found that the most influential mode is a normal wave with a wavelength of $3.44{\delta}_{999}$. These results imply that the most influential disturbance mode is closely related to the fundamental acoustic wave with a certain shear sheltering in the respective flow geometry.