• 대한기계학회논문집B
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• 제27권7호
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• pp.995-1006
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• 2003

The suitability of high-order accurate, centered and upwind-biased compact difference schemes for large eddy simulation is evaluated by a dynamic analysis. Large eddy simulation of isotropic turbulence is performed with various dissipative and non-dissipative schemes to investigate the effect of numerical dissipation on the resolved solutions. It is shown by the present dynamic analysis that upwind schemes reduce the aliasing error and increase the finite differencing error. The existence of optimal upwind scheme that minimizes total numerical error is verified. It is also shown that the finite differencing error from numerical dissipation is the leading source of numerical errors by upwind schemes. Simulations of a turbulent channel flow are conducted to show the existence of the optimal upwind scheme.

• 한국수자원학회논문집
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• 제38권2호
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• pp.155-166
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• 2005

상류이송기법은 불연속 흐름을 해석할 수 있기 때문에 댐붕괴류, 천이류 등의 해석에 많이 이용되고 있다. 그러나 상류이송기법은 생성항 처리과정에서 발생하는 오차로 인해 불균일한 단면을 가진 자연하천에는 거의 적용되지 못하고 단순화된 하도에만 주로 적용되어 왔다. 본 논문에서는 생성항의 차분화를 위해서 정규화된 Jacobian을 사용하는 상류이송형 생성항 처리기법을 개발하였다. 적용 결과 본 연구에서 제안된 생성항 처리기법이 정확하면서 효율적인 것으로 나타났다. 본 연구에서 제안한 방법은 단순한 형태를 지니고 있으며 다른 상류이송기법에도 다양하게 적용될 수 있을 것으로 판단된다.

• Journal of applied mathematics & informatics
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• 제41권1호
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• pp.181-192
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• 2023

This work deals with the numerical modeling of dam-break flow over erodible bed. The mathematical model consists of the shallow water equations, the transport diffusion and the bed morphology change equations. The system is solved by central upwind scheme. The obtained results of the resolution of dam-beak problem is presented in order to show the performance of the numerical scheme. Also a comparison of central upwind and Roe schemes is presented.

• 대한기계학회논문집B
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• 제24권2호
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• pp.224-232
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• 2000

Four turbulent $k-{\varepsilon}$ models (i.e., standard model, modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the turbulent flow of wall-attaching offset jet. For numerical convergence, this paper develops a method of slowly increasing the convective effect induced by skew-velocity in skew-upwind scheme (hereafter called Partial Skewupwind Scheme). Even though the method was simple, it was efficient in view of convergent speed, computer memory storage, programming, etc. The numerical results of all models show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show some deviations in ·second order (i.e., kinetic energy and its dissipation rate). Like the previous results obtained by upwind scheme, the streamline curvature modification results in better prediction, while the preferential dissipation modification does not.

• 천문학회보
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• 제39권2호
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• pp.119.2-119.2
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• 2014

Many astrophysical phenomena involve processes of magnetohydrodynamics (MHD) and relativistic magnetohydrodynamics (RMHD). A number of numerical schemes have been developed to solve the equations of ideal MHD and RMHD. Recent codes are based on upwind schemes which solve hyperbolic systems of equations following the characteristics of the systems. Upwind schemes stand out by their robustness, clarity of the underlying physical model, and ability of achieving high resolution. We present MHD and RMHD codes based on the total variation diminishing (TVD) and weighted essentially non-oscillatory (WENO) schemes, which are second and higher order accurate extensions of upwind schemes. We demonstrate the ability and limitation of codes based on upwind schemes through a series of tests.

• 대한기계학회논문집
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• 제12권4호
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• pp.865-875
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• 1988

본 연구에서는 부정숙 등에 의한 실험결과를 토대로 하여, 단이 진 2차원 벽 면분류에 대한 수치해석으로 표준 K-.epsilon.모델과 LRM 그리고 PAM을 적용하고, upwind 및 skew-upwind scheme을 적용하여 그 결과를 검토하고자 한다.

• 한국항공우주학회지
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• 제32권3호
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• pp.1-9
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• 2004

본 연구에서는 다중 격지 Navier-Stokes 방정식 해석의 수렴성 향상을 위하여 상류 차분 기법들의 주파수 영역에서의 특생 해석을 수행하였다. 1차 상류 차분 기법에 기반한 내재적 연산자의 예조건화 특성 향상을 위하여 다차원적인 효과를 갖는 2차 상류 차분 기법이 전통적인 2차 상류 차분 기법에 비하여 우수한 예조건화 특성을 가지는 이유를 제시하였다. 주파수 영역에서의 해석 결과에 대한 검증을 위하여 완전 성김 다중 격자 기법과 예 조건화된 다단계 시간 전진 기법을 적용하였다. 비 점성 유동장 및 Spalart-Allmaras 난류 모델을 이용한 난류 유동장 해석을 수행하였으며, 주파수 영역해석의 결과와 일치하는 우수한 수렴 특성을 가짐을 확인하였다.

• 한국해양학회지
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• 제21권4호
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• pp.203-210
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• 1986

선형, 평행 수송모델을 세우고 이상적인 항해에 적용하였다. 이 간단한 해석 모델로서 지금 까지 예지되어 온 황해 남부의 역풍류 현상을 적절히 설명할 수 있 다. 수심이 임계수심(본모델 바다에서는 Hc=53m임)보다 깊은 해역에서는 압력 경도 력이 바람응력보다 우세하여 역풍류를 야기시킨다. 추정된 역풍류 속도는 풍속과 함께 증가하며 최대 역풍류는 황해의 깊은 골을 따라나타난다. 하계의 전형적인 남 풍속도 5-10노트에 대해서 황해골을 따른 역풍류(남향류)속도는 1-5cm s$^{-1}$로 추정된다. 반면에 동계의 전형적인 북풍속도 10-15노트에 대해서는 역풍류(북향류) 속도는 5-12cm s$^{-1}$ 이다. 이와 같은 속도 범위는 각각 하계의 황해 저층냉수 와 동계의 황해난류의 잠입속도에 대한 개략적인 추정치로서 사용될 수 있다.

• 대한기계학회논문집B
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• 제24권9호
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• pp.1227-1238
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• 2000

This study examines the effects of the discretization schemes on numerical solutions of viscoelastic fluid flows. For this purpose, a temporally evolving mixing layer, a two-dimensional vortex pair interacting with a wall, and a turbulent channel flow are selected as the test cases. We adopt a fourth-order compact scheme (COM4) for polymeric stress derivatives in the momentum equations. For convective derivatives in the constitutive equations, the first-order upwind difference scheme (UD) and artificial diffusion scheme (AD), which are commonly used in the literature, show most stable and smooth solutions even for highly extensional flows. However, the stress fields are smeared too much and the flow fields are quite different from those obtained by higher-order upwind difference schemes for the same flow parameters. Among higher-order upwind difference schemes, a third-order compact upwind difference scheme (CUD3) shows most stable and accurate solutions. Therefore, a combination of CUD3 for the convective derivatives in the constitutive equations and COM4 for the polymeric stress derivatives in the momentum equations is recommended to be used for numerical simulation of highly extensional flows.

• Asian Journal of Atmospheric Environment
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• 제4권2호
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• pp.89-96
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• 2010

To identify the domains that have the greatest impacts on air quality at the surface, both the upwind and downwind areas of Seoul were determined by season using refined wind fields. Four consecutive days were selected as the study period typical of each season. The mesoscale meteorology of the study period was reproduced by using the MM5 prognostic meteorological model (PSU/NCAR Mesoscale Model) with horizontally nested grids. The gridded meteorological field, which was used on the study area of $242\;km{\times}226\;km$ with grid spacing of 2 km, was generated by using the CALMET diagnostic meteorological model. Upwind and downwind areas of Seoul were determined by calculating 24-hour backward and forward air parcel trajectories, respectively, with u, v, and w velocity vectors. The results showed that the upwind and downwind areas were extended far to the northwest and the southeast as a result of high wind speeds in the spring and winter, while they were restricted on the fringe of Seoul in the summer and fall.