• 한국환경과학회지
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• 제6권4호
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• pp.323-333
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• 1997

본 연구는 해양에서 비규칙적으로 관측된 유속자료를 이용 속도유선함수를 객관적해석을 통하여 산출하였다. 이를 위하여 헬름흘쯔(Helmholtz)정리를 응용 2차원 유속장의 비발산 부분만 나타내는 유선함수와 와도와의 관계를 규정하는 포이송(Poisson)방정식을 도출하고, 혼합경계조건과 관측치로부터 산출된 와도장을 이용 유선함수를 구하였다. 위의 방법을 실현하기 위하여 텍사스-루이지아나 대륙붕 순환 및 수송 연구(LATEX측 일환으로 텍사스-루이지아나 대륙붕의 31개 정점에서 32개월(1992년 4월 SIM 1994년 11월)간 관측된 해류계자료를 이용하였다. 본 방법으로 산출된 텍사스-루이지아나 대륙붕의 속도유선함수는 관측치와 잘 일치하였다. 본 연구에서 산출된 유선함수는 특정 해역의 저주파 운동의 이해뿐만 아니라 기름유출, 영양염 및 플랑크톤 수송과 관련한 환경유동모델의 초기화 및 검증에 응용될 것으로 기대된다.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2006년도 PARALLEL CFD 2006
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• pp.367-367
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• 2006

• 한국환경과학회지
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• 제6권5호
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• pp.541-550
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• 1997

해양의 몇몇 정점에서 관측된 유속자료로부터 속도 유선함수를 최소자승 회귀분석법을 응용하여 산출하였다. 유선함수는 삼각함수의 합으로 표현되며 이들 함수의 상수들은 2차원 유속장의 비발산 부분을 최소화하여 구하였다. 위의 방법은 기존의 방법들이 요구하는 관측치의 보강이 필요치 않으며 관측 및 흐름장의 발산에 기인하는 오차를 계산할 수 있는 장점이 있다. 연안역의 복잡한 해안경계 문제를 쉽게 표현하기 위하여 연안을 경계로 하는 곡선직교좌표를 도입하여 유선함수를 구하였다. 텍사스-루이지아나 대륙붕 순환 및 수송 연구(LATEX)를 위하여 31개 정점에서 관측된 해류계자료를 이용 텍사스-루이지아나 대륙붕상의 속도유선함수를 성공적으로 산출하였다. 위의 해역에서 유선함수 산출오차는 비교적 적게 나타나 유선함수가 표층 유속장을 잘 나타냄을 알 수 있다.

• Fisheries and Aquatic Sciences
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• 제1권1호
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• pp.48-62
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• 1998

Seasonal volume transport on the Texas-Louisiana continental shelf is investigated in terms of objectively fitted transport streamfunction fields based on the current meter data of the Texas­Louisiana Shelf Circulation and Transport Processes Study. Adopted here for the objective mapping is a method employing a two-dimensional truncated Fourier representation of the streamfunction over a domain, with the amplitudes determined by least square fit of the observation. The fitting was done with depth-averaged flow rather than depth-integrated flow to reduce the root-mean-square error. The fitting process filters out $11\%$ of the kinetic energy in the monthly mean transport fields. The shelf-wide pattern of streamfunction fields is similar to that of near-surface velocity fields over the region. The nearshore transport, about 0.1 to 0.3 Sv $(1 Sv= 10^6\;m^3/sec)$, is well correlated with the seasonal signal of along-shelf wind stress. The spring transport is weak compared to other seasons in the inner shelf region. The transport along the shelf break is large and variable. In the southwestern shelf break, transport amounts up to 4.7 Sv, which is associated with the activities of the encroaching of energetic anticyclonic eddies originated in Loop Current of the eastern Gulf of Mexico. The first empirical orthogonal function (EOF) of streamfunction variability contains $67.3\%$ of the variance and shows a simple, shelf-wide, along-shelf pattern of transport. The amplitude evolution of the first EOF is highly correlated (correlation coefficient: 0.88) with the evolution of the along-shelf wind stress. This provides strong evidence that the large portion of seasonal variation of the shelf transport is wind-forced. The second EOF contains $23.7\%$ of the variance and shows eddy activities at the southwestern shelf break. The correlation coefficient between the amplitudes of the second EOF and wind stress is 0.42. We assume that this mode is coupled a periodic inner shelf process with a non-periodic eddy process on the shelf break. The third EOF (accounting for $7.2\% of the variance) shows several cell structures near the shelf break associated with the variability of the Loop Current Eddies. The amplitude time series of the third EOF show little correlation with the along-shelf wind.

• 한국환경과학회:학술대회논문집
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• 한국환경과학회 1997년도 정기총회 및 봄 학술발표회 초록집
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• pp.80-80
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• 1997

• 항공우주시스템공학회지
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• 제10권1호
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• pp.1-7
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• 2016

During flight of the aircraft, the vortex merging phenomenon appears under the certain condition between co-rotating vortices which were generated at the wing tip and lifting-surface. And then these merged vortices at both sides show counter-rotating pattern to affect on the downstream of the aircraft. In this paper, the numerical simulations are conducted assuming this phenomenon in two-dimensional co-rotating or counter-rotating vortices pairs. Two-dimensional incompressible Navier-Stokes equations were converted into Vorticity-Streamfunction form and the Galerkin spectral method was adopted. The third order Runge-Kutta method was used for time integration. The effects on the vortex merger and degree of vortex merger were investigated according to time, Reynolds number, and changes in the distance between two vortices.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제3권2호
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• pp.51-67
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• 1999

The numerical solution of the Navier-Stokes equations in a constricted stepped channel problem has been obtained using a fourth order numerical method. Transformations are made to have a fine grid near the sharp corner and a long channel downstream. The derivatives in the Navier-Stokes equations are replaced by fourth order central differences which result a 29-point computational stencil. A procedure is used to avoid extra numerical boundary conditions near the solid walls. Results have been obtained for Reynolds numbers up to 1000.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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• pp.131-133
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• 2003

The streamfunction-vorticity equations for two-dimentional cavity flow are solved by a new finite element method which uses finite spectral basis functions as interpolation functions for rectangular elements. Results for several cases with different Renold's number are compared with benchmark solutions and found to be in well agreement.

• 대기
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• 제25권3호
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• pp.543-557
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• 2015

The present study examines an interaction between the eddy and mean meridional circulation (MMC) comparing the results in three reanalysis data sets including ERA-Interim, NCEP2, and JRA-55 during the boreal winter in the Northern Hemisphere. It is noteworthy that the JRA-55 tends to produce stronger MMC compared to those of others, which is mainly due to the weak eddy flux. ERA-Interim represents the ensemble averages of MMC. The MMC-eddy interaction equation was adopted to investigate the scale interaction of the eddy momentum flux (EMF), eddy heat flux (EHF), and diabatic heating (DHT) with MMC. The EMF (EHF) shows a significant correlation coefficient with streamfunction under (above) 200 hPa-level. The perturbation (time mean) part of each eddy is dominant compared to another part in the EMF (EHF). The DHT is strongly interacted with streamfunction in the region between the equator and extra-tropical latitude over whole vertical column. Thus, the dominant term in each significant region modulates interannual variability of MMC. The inverse (proportional) relationship between MMC and pressure (meridional) derivative of the momentum (heat) divergence contributions is well represented in the three reanalysis data sets. The region modulated interannual variability of MMC by both EMF and DHT (EHF) is similar in ERA-Interim and JRA-55 (ERA-Interim and NCEP2). JRA-55 shows a lack of significant region of EHF due to the high resolution, compared to other data sets.

• 대한기계학회논문집B
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• 제24권9호
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• pp.1210-1218
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• 2000

Thermal convection in a horizontal annulus is considered, and the bifurcation phenomena of flows from time-periodic to chaotic convection are numerically investigated. The unsteady two-dimensional streamfunction-vorticity equation is solved with finite difference method. As Rayleigh number is increased, the steady flow bifurcates to a time-periodic flow with a fundamental frequency, and afterwards a period-tripling bifurcation occurs with further increase of the Rayleigh number. Chaotic convection is established after a period-doubling bifurcation. A periodic convection with period 4 appears after the first chaotic convection. At still higher Rayleigh numbers, chaotic flows reappear.