• 제목/요약/키워드: Spherical Earth

검색결과 106건 처리시간 0.024초

이중 푸리에 급수 분광법 역학코어의 정확도와 계산 효율성 평가 (Evaluation of Accuracy and Efficiency of Double Fourier Series (DFS) Spectral Dynamical Core)

  • 김범석;구명서;손석우
    • 대기
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    • 제33권4호
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    • pp.387-398
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    • 2023
  • The double Fourier series (DFS) spectral dynamical core is evaluated for the two idealized test cases in comparison with the spherical harmonics (SPH) spectral dynamical core. A new approach in calculating the meridional expansion coefficients of DFS, which was recently developed to alleviate a computational error but only applied to the 2D spherical shallow water equation, is also tested. In the 3D deformational tracer transport test, the difference is not conspicuous between SPH and DFS simulations, with a slight outperformance of the new DFS approach in terms of undershooting problem. In the baroclinic wave development test, the DFS-simulated wave pattern is quantitatively similar to the SPH-simulated one at high resolutions, but with a substantially lower computational cost. The new DFS approach does not offer a salient advantage compared to the original DFS while computation cost slightly increases. This result suggests that the current DFS spectral method can be a practical and alternative dynamical core for high-resolution global modeling.

전통사상(專統思想)과 서원건축배치(書院建築配置)의 구성(構成) 원리(原理) (Composition Principle of Seo-Won Architecture from the View of Its Disposition and Korean Traditional Thought)

  • 박정해;한동수
    • 교육시설 논문지
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    • 제18권6호
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    • pp.33-43
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    • 2011
  • The Korean academics of classical learning, Seowon which from the middle of Joseon Dynasty was complexly reflected in "the illustration of Taiji(太極圖說)" Five-Elements school(陰陽五行說), "Zhou Yi(周易)" and a theory on spherical heaven and square ground(天圓地方) which based on orientalism. Also the theory of Xiangshu Xue(象數學) was a significant factor to decide the size(number of facade module) of Seowon architecture. So, in this study, how the oriental thought was adopted and reflected in existing 21 Seowon in South Korea. The size of Seowon architecture was adopted a theory of combination with heaven, earth and human(天地人三合論) that based on the theory of Xiangshu Xue on "the illustration of Taiji" and "Zhou Yi". "Zhou Yi" was the central thought of Confucian culture in Joseon Dynasty, with which Seowon space was divided into two, ancestral rites space and lecture space. It coincides with balance of yin(陰) and yang(陽), Five-Elements(五行) and four seasons(四季節). In lecture space, lecture hall is relevant with the water(水) and winter, and front tower structure or outer three-door is the fire(火) and summer. Also, central garden means the soil(土) and center. Thus, the size and spatial composition was planned with the philosophy, "the illustration of Taiji", Five-Elements school and a theory on spherical heaven and square ground. Yin and yang has an idea of the heaven and earth, and Five-Elements has an idea of direction and season with which spatial composition of Seowon could be set. And the numeral meaning on the theory of Xiangshu Xue established an ideal background for spatial composition of Seowon architecture.

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다목적위성 삼축자력계로부터 관측된 지구자기장에 관한 연구 (Analysis of Geomagnetic Field measured from KOMPSAT-1 Three-Axis Magnetometer)

  • 김정우;황종선;김성용;이선호;민경덕;김형래
    • 자원환경지질
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    • 제37권4호
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    • pp.401-411
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    • 2004
  • 다목적위성 아리랑 1호(KOMPSAT-1)에 장착된 본체 자세제어용 삼축자력계(TAM) 자료로부터 2000년 6월 19일에서 21일 사이의 지구자기장을 추출하였다 전처리과정으로 관측자료를 지구관성좌표계에서 지구고정좌표계로 변환시킨 후, 이를 다시 구면좌표계로 변환하였고, 지구자기장의 영향이 아닌 위성체 내의 전류에 의한 유도자기장은 자기장의 대칭성을 이용하여 제거하였다. 지구 외적 요인에 의한 자기장의 영향을 제거하기 위해 위성 궤도를 상향 및 하향 두 그룹으로 분류한 후, 2차원 파동수대비법을 이용해 두 그룹 사이에 서로 역으로 대비되는 성분을 제거하였다. 측선 잡음을 제거를 위하여 파동수영역에서 사분면교환법을 도입하였고, 이로부터 삼축자력계 관측값으로부터 최증적인 지구자기장을 추출하였다. TAM 자기장의 검증을 위해 다목적위성과 비슷한 시기에 유사한 고도에서 지구자기장을 전문적으로 측정한 ${\phi}$rsted로부터 유도된 지구자기장 및 IGRF2000모델과 비교한 결과 이들 사이의 상관계수는 각각 0.97과 0.96으로 매우 높게 나타났다. 끝으로 이 연구에서 추출한 지구자기장으로부터 구면조화계수를 degree & order 19까지 계산한 후 이를 IGRF ${\phi}$rsted와 Champ 모델과 비교하였다. 이 연구에 의해 일반적인 지구관측위성의 자세보정용 자력계로부터 degree & order 5까지 신뢰성있는 지구자기장의 추출이 가능함은 밝혀졌고, 이로부터 이 연구의 자료처리과정을 도입하면 지구자기장 전문관측위성이 존재하지 않는 기간은 물론 관측이 존재하지 않는 고도에 대한 지구자기장의 추출이 가능하게 되었고 이로부터 전지구 자기장 모델의 저주파 성분을 향상시킬 수 있음이 밝혀졌다.

UHF 대역 장거리 항공 통신 시험의 전파 손실 분석 (Analysis of UHF-Band Propagation Loss in Long-distance Air-to-Ground Communication Tests)

  • 장민수;김규환;김재환;이재문;황찬호
    • 한국산학기술학회논문지
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    • 제19권8호
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    • pp.55-63
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    • 2018
  • 본 논문에서는 지상 수신기와 항공기 탑재 송신기 간의 장거리 통신시험을 통해 UHF 대역의 전파 수신세기를 측정하고 그 결과를 분석하였다. 지상 수신기는 제주도 해발 1,100m 지점에 위치시키고 항공 탑재 송신기는 지상 수신기로부터 150km에서 220km 거리를 3.5km 이상의 고도로 비행하며 시험을 수행하였다. 이 경우 지상 수신기와 항공 송신기는 가시선(LOS ; Line of Sight)이 확보되는 환경이므로 자유공간손실(FSL ; Free Space Loss)을 토대로 결과를 예측하고 분석을 하는 경우가 일반적이다. 하지만 본 시험의 경우 지상 수신기와 항공 송신기 사이에 해수면이 존재하고, 장거리 통신 환경으로 인하여 반사면에 대한 입사각이 매우 작은 조건으로 직접 파의 자유공간손실 만으로는 정확한 예측 및 분석이 불가능하다. 따라서 주변에 장애물이 없고 두 안테나 사이 가시선이 확보되는 조건을 고려하여 평면 반사 모델과 구면 대지 반사 모델을 토대로 경로 손실을 예측하고 실제 시험결과와 비교하였다. 비교 결과, 구면 대지 반사모델에서 예측한 전파경로 손실 값과 실제 측정결과가 매우 유사한 특성을 보였다.

지구 평균 질량 변화를 포함한 GRACE 중력 모델 보정 (Refinement of GRACE Gravity Model Including Earth's Mean Mass Variations)

  • 서기원;엄주영;권병두
    • 한국지구과학회지
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    • 제35권7호
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    • pp.537-542
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    • 2014
  • GRACE는 2002년 발사된 이래로 지하수, 빙하, 해수면의 변동에 의한 지구의 질량 재배치를 관측해오고 있다. GRACE 관측으로부터 추정된 지구 중력 모델은 기압보정을 거쳐 대기 질량이 제거된 지구 표면과 그 하부의 질량 변화를 나타낸다. 그러나 대기 총 질량은 지표면과 대기 사이의 물 교환에 의해 변한다. 그 결과 GRACE 중력 모델은 구면 조화 함수의 계수 degree 0, order 0 ($C_{00}$)에 해당하는 총 대기 질량 변화에 관련된 중력 스펙트럼을 가져야 한다. 주로 계절적인 시간 척도 안에서 변하는 수증기 때문에 $C_{00}$의 변화(${\delta}C_{00}$)는 특히 해수면의 계절적 변동과 북반구와 남반구 사이의 질량 균형에 매우 중요하다. 이 결과는 ${\delta}C_{00}$가 기후변동과 관련된 대륙 규모의 질량 변화 연구에 꼭 고려되어야 함을 뜻한다.

Geomechanical analysis of elastic parameters of the solid core of the Earth

  • Guliyev, Hatam H.
    • Geomechanics and Engineering
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    • 제14권1호
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    • pp.19-27
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    • 2018
  • It follows from the basic principles of mechanics of deformable solids relating to the strength, stability and propagation of elastic waves that the Earth's inner core cannot exist in the form of a spherical structure in the assumed thermobaric conditions and calculation values of physico-mechanical parameters. Pressure level reaches a value that is significantly greater than the theoretical limit of medium strength in the model approximations at the surface of the sphere of the inner core. On the other hand, equilibrium state of the sphere is unstable on the geometric forming at much lower loads under the influence of the "dead" surface loads. In case of the action of "follower" loads, the assumed pressure value on the surface of the sphere is comparable with the value of the critical load of "internal" instability. In these cases, due to the instability of the equilibrium state, propagation of homogeneous deformations becomes uneven in the sphere. Moreover, the elastic waves with actual velocity cannot propagate in such conditions in solid medium. Violation of these fundamental conditions of mechanics required in determining the physical and mechanical properties of the medium should be taken into account in the integrated interpretations of seismic and laboratory (experimental) data. In this case, application of the linear theory of elasticity and elastic waves does not ensure the reliability of results on the structure and composition of the Earth's core despite compliance with the required integral conditions on the mass, moment of inertia and natural oscillations of the Earth.

THE EFFECTS OF PLANETARY ROTATION ON THE EXOSPHERIC DENSITY DISTRIBUTIONS OF THE EARTH AND MARS

  • KIM YONG HA;SON SUJEONG
    • 천문학회지
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    • 제33권2호
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    • pp.127-135
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    • 2000
  • We investigate the effects of planetary rotation on the exospheres of the earth and Mars with simple collisionless models. We develope a numerical code that computes exospheric densities by integrating velocity functions at the exobase with a 10 point Gauss method. It is assumed in the model that atoms above the exobase altitude move collisionlessly on an orbit under the planet's gravity. Temperatures and densities at the exobase over the globe are adopted from MSIS-86 for the earth and from Bougher et al's MTGCM for Mars. For both the earth and Mars, the rotation affects the exospheric density distribution significantly in two ways: (1) the variation of the exospheric density distribution is shifted toward the rotational direction with respect to the variation at the exobase, (2) the exospheric densities in general increase over the non-rotating case. We find that the rotational effects are more significant for lower thermospheric temperatures. Both the enhancement of densities and shift of the exospheric distribution due to rotation have not been considered in previous models of Martian exosphere. Our non-spherical distribution with the rotational effects should contribute to refining the hot oxygen corona models of Mars which so far assume simple geometry. Our model will also help in analyzing exospheric data to be measured by the upcoming Nozomi mission to Mars.

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RADIO EMISSION FROM WEAK SPHERICAL SHOCKS IN THE OUTSKIRTS OF GALAXY CLUSTERS

  • Kang, Hyesung
    • 천문학회지
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    • 제48권2호
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    • pp.155-164
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    • 2015
  • In Kang (2015) we calculated the acceleration of cosmic-ray electrons at weak spherical shocks that are expected to form in the cluster outskirts, and estimated the diffuse synchrotron radiation emitted by those electrons. There we demonstrated that, at decelerating spherical shocks, the volume integrated spectra of both electrons and radiation deviate significantly from the test-particle power-laws predicted for constant planar shocks, because the shock compression ratio and the flux of inject electrons decrease in time. In this study, we consider spherical blast waves propagating through a constant density core surrounded by an isothermal halo with ρ ∝ r−n in order to explore how the deceleration of the shock affects the radio emission from accelerated electrons. The surface brightness profile and the volumeintegrated radio spectrum of the model shocks are calculated by assuming a ribbon-like shock surface on a spherical shell and the associated downstream region of relativistic electrons. If the postshock magnetic field strength is about 0.7 or 7 µG, at the shock age of ∼ 50 Myr, the volume-integrated radio spectrum steepens gradually with the spectral index from αinj to αinj + 0.5 over 0.1–10 GHz, where αinj is the injection index at the shock position expected from the diffusive shock acceleration theory. Such gradual steepening could explain the curved radio spectrum of the radio relic in cluster A2266, which was interpreted as a broken power-law by Trasatti et al. (2015), if the relic shock is young enough so that the break frequency is around 1 GHz.

Development of Precise Lunar Orbit Propagator and Lunar Polar Orbiter's Lifetime Analysis

  • Song, Young-Joo;Park, Sang-Young;Kim, Hae-Dong;Sim, Eun-Sup
    • Journal of Astronomy and Space Sciences
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    • 제27권2호
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    • pp.97-106
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    • 2010
  • To prepare for a Korean lunar orbiter mission, a precise lunar orbit propagator; Yonsei precise lunar orbit propagator (YSPLOP) is developed. In the propagator, accelerations due to the Moon's non-spherical gravity, the point masses of the Earth, Moon, Sun, Mars, Jupiter and also, solar radiation pressures can be included. The developed propagator's performance is validated and propagation errors between YSPOLP and STK/Astrogator are found to have about maximum 4-m, in along-track direction during 30 days (Earth's time) of propagation. Also, it is found that the lifetime of a lunar polar orbiter is strongly affected by the different degrees and orders of the lunar gravity model, by a third body's gravitational attractions (especially the Earth), and by the different orbital inclinations. The reliable lifetime of circular lunar polar orbiter at about 100 km altitude is estimated to have about 160 days (Earth's time). However, to estimate the reasonable lifetime of circular lunar polar orbiter at about 100 km altitude, it is strongly recommended to consider at least $50\;{\times}\;50$ degrees and orders of the lunar gravity field. The results provided in this paper are expected to make further progress in the design fields of Korea's lunar orbiter missions.

Application of the Empirical Orthogonal Functions on the GRACE Spherical Harmonic Solutions

  • Eom, Jooyoung;Seo, Ki-Weon
    • 한국지구과학회지
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    • 제39권5호
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    • pp.473-482
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    • 2018
  • During the period of 2002 to 2017, the Gravity Recovery And Climate Experiment (GRACE) had observed time-varying gravity changes with unprecedented accuracy. The GRACE science data centers provide the monthly gravity solutions after removing the sub-monthly mass fluctuation using geophysical models. However, model misfit makes the solutions to be contaminated by aliasing errors, which exhibits peculiar north-south stripes. Two conventional filters are used to reduce the errors, but signals with similar spatial patterns to the errors are also removed during the filtering procedure. This would be particularly problematic for estimating the ice mass changes in Western Antarctic Ice Sheet (WAIS) and Antarctic Peninsula (AP) due to their similar spatial pattern to the elongated north-south direction. In this study, we introduce an alternative filter to remove aliasing errors using the Empirical Orthogonal Functions (EOF) analysis. EOF can decompose data into different modes, and thus is useful to separate signals from noise. Therefore, the aliasing errors are effectively suppressed through EOF method. In particular, the month-to-month mass changes in WAIS and AP, which have been significantly contaminated by aliasing errors, can be recovered using EOF method.