• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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• pp.68-74
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• 1998

A finite element analysis for physical phenomenon which are governed by parabolic equation, has some inefficiencies caused by much computational time and large storage space. In this paper, a comparative study is performed to suggest the best efficient transient analysis algorithms for parabolic equations. First, the general finite element analysis techniques are summarized in views of formulation procedures, treatments of convection terms. and time stepping methods. Results of several combinations applied to one dimensional convection-diffusion equation and Burger equation are represented and compared using some criteria such as accuracy, stability, and computational time. Through the results, some guidelines to select a algorithm for solving parabolic equations are proposed for diffusion dominant and convection dominant cases. Finally applicability of two dimensional extension of the result is also discussed.

• 호남수학학술지
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• 제37권3호
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• pp.299-315
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• 2015

In this paper, we study the first-order system least-squares (FOSLS) spectral method for parabolic partial differential equations. There were lots of least-squares approaches to solve elliptic partial differential equations using finite element approximation. Also, some approaches using spectral methods have been studied in recent. In order to solve the parabolic partial differential equations in parallel, we consider a parallel numerical method based on a hybrid method of the frequency-domain method and first-order system least-squares method. First, we transform the parabolic problem in the space-time domain to the elliptic problems in the space-frequency domain. Second, we solve each elliptic problem in parallel for some frequencies using the first-order system least-squares method. And then we take the discrete inverse Fourier transforms in order to obtain the approximate solution in the space-time domain. We will introduce such a hybrid method and then present a numerical experiment.

• Advances in Energy Research
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• 제8권3호
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• pp.155-163
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• 2022

The current study presents experimental research on a parabolic trough collector with tube and cavity receivers. The primary concentrating parabolic reflector is designed for an aperture area of 2×2 m² with mirror-polished stainless steel sheet reflectors. The cavity receiver consists of a compound parabolic secondary reflector and a copper tube. Both the conventional tube receiver and the cavity receiver tube are coated with black powder. The experiments are carried out to compare the efficiency of the cavity receiver with the tube receiver for fluid temperature rise, thermal efficiency, and overall losses. The experiments showed significantly higher fluid temperature rise and overall efficiency and lower thermal losses for the cavity receiver compared to the tube receiver within the parameters explored in this study.

• 한국인터넷방송통신학회논문지
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• 제18권4호
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• pp.49-53
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• 2018

파라볼라 오프셋 안테나는 여러 통신 신호 송수신을 위하여 사용된다. 파라볼라 오프셋 안테나의 기본적인 구조는 급전혼을 지지하기 위한 지지대 및 RF 장치들이 파라볼라 안테나 하단에 위치한다. 하지만 지지대 및 RF 장치들로 인하여 안테나 이득 패턴 상에서 부엽이 증가하게 된다. 지지대 및 RF 장치와 같은 부속 장치의 위치에 따라서 부엽 왜곡이 일어나는 각도가 달라진다. 본 논문에서는 이를 광선 추적 기법을 이용하여, 이득 패턴 부엽 왜곡 증가하지 않는 회피 구역을 지정하는 방법을 소개한다. 광선 추적 기법을 이용해 회피구역에 대한 벡터를 생성하며, 생성한 벡터를 이용하여 3D로 이루어진 구역을 지정한다. 또한 회피 구역 내에 부속 장치가 존재할 때와 아니할 때를 시뮬레이션을 통하여 비교한다. 이러한 비교를 통하여 부엽에 대한 목표 각도를 설정한 뒤 목표 각도 이내의 부엽을 조절할 수 있는 방법을 소개한다.

• Current Optics and Photonics
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• 제6권6호
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• pp.627-633
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• 2022

To realize uniform side pumping of solar lasers and improve their output power, a solar concentrating system based on off-axis parabolic mirrors is proposed. Four identical off-axis parabolic mirrors with focal length of 1,000 mm are toroidally arranged as the primary concentrator. Four two-dimensional compound parabolic concentrators (2D-CPCs) are designed as a secondary concentrator to further compress the focused spot induced by the parabolic mirrors, and the focused light is then homogenized by four rectangular diffusers and provides uniform pumping for a laser-crystal rod to achieve solar laser emission. Simulation results show that the solar power received by the laser rod, uniformity of the light spot, and output power of the solar laser are 7,872.7 W, 98%, and 351.8 W respectively. This uniform pumping configuration and concentrator design thus provide a new means for developing high-power side-pumped solid-state solar lasers.

• 한국전산구조공학회논문집
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• 제20권1호
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• pp.1-7
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• 2007

본 연구에서는 케이블구조의 초기형상해석을 위한 새로운 탄성포물선 케이블요소(elastic parabolic cable element)를 제시한다. 이를 위하여 먼저 탄성현수선 케이블요소(elastic catenary cable element)에 대한 적합조건과 접선강도행렬 유도과정을 간략히 한다. 이를 토대로 장력이 충분히 도입되어 자중에 의한 처짐 형상이 포물선에 가깝다는 가정 하에서 무응력길이를 포함하는 탄성포물선 케이블요소의 비선형 힘-변형관계식과 접선강도행렬을 유도한다. 또한 현(chord) 방향으로 두 케이블요소의 등가 장력식을 정의한다. 본 요소의 정확성을 확인하기 위하여, 탄성현수선과 탄성포물선 케이블요소를 각각 적용하여 고정하중을 받는 사장교의 초기형상해석을 수행하고 무응력길이, 등가장력, 그리고 최대장력 결과를 비교, 분석한다.

• 한국재료학회지
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• 제28권6호
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• pp.361-364
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• 2018

Binary Ti-Al alloys below 51.0 mass%Al content exhibit a breakaway, transferring from parabolic to linear rate law. The second $Al_2O_3$ layer might have some protectiveness before breakaway. Ti-63.1 mass%Al oxidized at 1173 K under parabolic law. Breakaway oxidation is observed in every alloy, except for Ti-63.1 mass%Al. After breakaway, oxidation rates of the binary TiAl alloys below 34.5 mass%Al obey almost linear kinetics. The corrosion rate of Ti-63.1 mass%Al appears to be almost parabolic. As content greater than 63.0 mass% is found to be necessary to form a protective alumina film. Addition of Mo improves the oxidation resistance dramatically. No breakaway is observed at 1123 K, and breakaway is delayed by Mo addition at 1173 K. At 1123 K, no breakaway, but a parabolic increase in mass gain, are observed in the Mo-added TiAl alloys. The binary Ti-34.5 mass%Al exhibits a transfer from parabolic to linear kinetics. At 1173 K, the binary alloys show vary fast linear oxidation and even the Mo-added alloys exhibit breakaway oxidation. The 2.0 mass%Mo-added TiAl exhibits a slope between linear and parabolic. At values of 4.0 and 6.0 mass% added TiAl alloys, slightly larger rates are observed than those for the parabolic rate law, even after breakaway. On those alloys, the second $Al_2O_3$ layer appears to be persistently continuous. Oxidation resistance is considerably degraded by the addition of Mn. Mn appears to have the effect of breaking the continuity of the second $Al_2O_3$ layer.

• 한국해안해양공학회지
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• 제10권1호
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• pp.1-9
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• 1998

수치모형이 파랑변형 중에서 회절을 어느 정도로 정확히 해석할 수 있는 지에 대한 연구는 매우 중요한 일이다. 세가지 포물선형 방정식민 단순 포물선형, 광각 포물선형, 삼변수 포물선형 방정식에 대하여 파의 회절의 관점에서 비교하였다. 단순 포물선형 방정식에 대해서는 측면경계에서 불필요한 반사를 피하기 위하여 Dalrymple and Martin(1992)이 제안한 완전경계조건을 적용하였다. 반무한 방파제의 경우에 Penney and Price(1952)의 해석해와 각 모형의 결과를 비교하였다. 입사각이 방파제에 대하여 직각일 때는 모두 좋은 결과를 보여주었으나, 입사각이 직각에서 편향됨에 따라 단순 보물선형 방정식에 의한 해의 오차가 가장 컸고 삼변수 포물선형 방정식에 의한 해의 오차가 가장 작았다

• Korean Journal of Mathematics
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• 제7권2호
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• pp.139-150
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• 1999

In this paper we establish some bounds for solutions of parabolic one dimensional $p$-Laplacian equation.

• 호남수학학술지
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• 제20권1호
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• pp.67-78
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• 1998