• 제목/요약/키워드: Hybrid difference schemes

검색결과 13건 처리시간 0.025초

HYBRID DIFFERENCE SCHEMES FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS

  • Priyadharshini, R.Mythili;Ramanujam, N.;Tamilselvan, A.
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1001-1015
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    • 2009
  • In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results.

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HYBRID DIFFERENCE SCHEMES FOR SINGULARLY PERTURBED PROBLEM OF MIXED TYPE WITH DISCONTINUOUS SOURCE TERM

  • Priyadharshini, R. Mythili;Ramanujam, N.;Valanarasu, T.
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1035-1054
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    • 2010
  • We consider a mixed type singularly perturbed one dimensional elliptic problem with discontinuous source term. The domain under consideration is partitioned into two subdomains. A convection-diffusion and a reaction-diffusion type equations are posed on the first and second subdomains respectively. Two hybrid difference schemes on Shishkin mesh are constructed and we prove that the schemes are almost second order convergence in the maximum norm independent of the diffusion parameter. Error bounds for the numerical solution and its numerical derivative are established. Numerical results are presented which support the theoretical results.

비정렬 셀 중심 방법에서 대류플럭스의 수치근사벙법 평가 (EVALUATION OF NUMERICAL APPROXIMATIONS OF CONVECTION FLUX IN UNSTRUCTURED CELL-CENTERED METHOD)

  • 명현국
    • 한국전산유체공학회지
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    • 제11권1호
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    • pp.36-42
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    • 2006
  • The existing numerical approximations of convection flux, especially the spatial higher-order difference schemes, in unstructured cell-centered finite volume methods are examined in detail with each other and evaluated with respect to the accuracy through their application to a 2-D benchmark problem. Six higher-order schemes are examined, which include two second-order upwind schemes, two central difference schemes and two hybrid schemes. It is found that the 2nd-order upwind scheme by Mathur and Murthy(1997) and the central difference scheme by Demirdzic and Muzaferija(1995) have more accurate prediction performance than the other higher-order schemes used in unstructured cell-centered finite volume methods.

휴대인터넷 멀티캐스트 서비스를 제공하는 복합 방식의 성능평가 (Performance Evaluation of Hybrid Multicast Scheme for WiBro Multicast Service)

  • 안순홍;김승훈
    • 한국멀티미디어학회논문지
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    • 제9권7호
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    • pp.854-863
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    • 2006
  • 휴대 모바일 멀티미디어 통신 서비스인 휴대인터넷 사업자가 선정되어, 곧 상용 서비스가 시작된다. 멀티미디어 서비스를 제공하기 위하여 효율적인 멀티캐스트 기법 사용이 불가피한 상황이지만 기술적 혹은 경제적인 이유로 상용서비스 초기단계에 통신망 전체를 IP 멀티캐스트로 구축하는 것은 쉽지 않으며 응용계층 멀티캐스트 방식 및 복합 멀티캐스트 방식도 고려하여야 한다. 본 논문에서는 휴대인터넷 사업자중 한 사업자의 휴대인터넷망 모델링을 통하여 복합 멀티캐스트 방식을 제안하였고, 대표적인 IP 멀티캐스트 성능에 대하여 어느 정도 성능저하가 있는가를 평가하였다. 성능평가를 위하여 시뮬레이션망에서 복합방식 멀티캐스트를 모델링하는 시뮬레이션 방안을 제시하였다. 성능평가결과 휴대인터넷 서비스망에서 단말의 수가 충분히 많으면, 복합방식 멀티캐스트의 성능이 IP 멀티캐스트에 비하여 큰 차이가 없음을 보였다.

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축대칭엔진 실린더 내의 유동장에 관한 수치해석적 연구 (Numerical Study on Flow Field in the Cylinder of an Axisymmetric Engine)

  • 김영환;유정열;강신형
    • 대한기계학회논문집
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    • 제17권2호
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    • pp.467-474
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    • 1993
  • Viscous flow and heat transfer phenomena in an axisymmetric cylinder which models a diesel engine have been numerically studied. In order to search for a way to minimize numerical diffusion, the effectiveness and the appropriateness of two selected numerical schemes for convective terms in the governing equations have been tested. They are Linear Upwind Difference Scheme and Hybrid Scheme. Using a standard k-.epsilon. turbulence model, the calculation has been carried out basically up to 180.deg. of crank angle. As a result, it was shown from comparison with previous experimental data that Linear Upwind Difference Scheme is less influenced than Hybrid Scheme by the numerical diffusion and it was suggested that these effects of numerical diffusion can be more significant than those due to turbulence modeling.

하이브리드탄의 항력 및 유동해석 (A Drag and Flow Characteristics around the Hybrid Projectile)

  • 이상길;이동현
    • 한국군사과학기술학회지
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    • 제3권2호
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    • pp.23-34
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    • 2000
  • Three dimensional, compressible, mass weighted averaging of Favre, Navier-Stokes system with k-$\varepsilon$ turbulence, is numerically discretized to compute three dimensional multiple jet interaction flow fields for a hybrid projectile containing three rocket motors in the ogive section. Numerical flow field computations have been made for angled nose jets and rockets at supersonic speed using multiblock structured grid. The jet conditions include very high jet to free stream pressure ratio and high temperature. It is shown that the strength of nozzle stagnation pressure affects the flow field near the side nozzle and the high stagnation pressure increases total amount of drag by a few percent. However, minor drag loss due to the pressure drag might be fully overcomed by an additional axial thrust. The results of present study can be applied for the design of future hybrid projectile.

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FITTED MESH METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL TURNING POINT PROBLEMS EXHIBITING TWIN BOUNDARY LAYERS

  • MELESSE, WONDWOSEN GEBEYAW;TIRUNEH, AWOKE ANDARGIE;DERESE, GETACHEW ADAMU
    • Journal of applied mathematics & informatics
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    • 제38권1_2호
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    • pp.113-132
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    • 2020
  • In this paper, a class of linear second order singularly perturbed delay differential turning point problems containing a small delay (or negative shift) on the reaction term and when the solution of the problem exhibits twin boundary layers are examined. A hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the problem. We proved that the method is almost second order ε-uniformly convergent in the maximum norm. Numerical experiments are considered to illustrate the theoretical results.

Analysis of TDOA and TDOA/SS Based Geolocation Techniques in a Non-Line-of-Sight Environment

  • Huang, Jiyan;Wan, Qun
    • Journal of Communications and Networks
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    • 제14권5호
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    • pp.533-539
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    • 2012
  • The performance analysis of wireless geolocation in a non-line-of-sight (NLOS) environment is a very important issue. Since Cramer-Rao lower bound (CRLB) determines the physical impossibility of the variance of an unbiased estimator being less than the bound, many studies presented the performance analysis in terms of CRLB. Several CRLBs for time-of-arrival (TOA), pseudo-range TOA, angle-of-arrival (AOA), and signal strength (SS) based positioning methods have been derived for NLOS environment. However, the performance analysis of time difference of arrival (TDOA) and TDOA/SS based geolocation techniques in a NLOS environment is still an opening issue. This paper derives the CRLBs of TDOA and TDOA/SS based positioning methods for NLOS environment. In addition, theoretical analysis proves that the derived CRLB for TDOA is the same as that of pseudo-range TOA and the TDOA/SS scheme has a lower CRLB than the TDOA (or SS) scheme.

레이리 페이딩 채널상에서 MSK 혹은 QPSK 변조 방식의 하이브리드 DS/SFH 확산 스펙트럼 시스템의 다중톤 재밍 성능 분석 (MTJ Performance Analysis of Hybrid DS/SFH Spread-Spectrum System using MSK or QPSK Modulation over Rayleigh Fading Channel)

  • Ryu, Heung-Gyoon;Chung, Byung-Ki
    • 한국전자파학회논문지
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    • 제13권5호
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    • pp.492-499
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    • 2002
  • 다중톤 재밍이 있는 경우, 레이리 페이딩 채널상에서 MSK 혹은 QPSK 변조 방식을 사용하는 하이브리드 DS/SFH 확산 스펙트럼 시스템의 성능분석과 비교를 연구한다. 신호대 잡음비, 재머전력재 신호전력비(JSR) 그리고 기타 시스템 파라미터를 이용하여 신호대 잡음과 간섭비(SNIR)를 유도하여 Rake 수신기가 있을 때와 없을 때의 BER 성능을 분석한다. 수치 분석 결과, 재머전력재 신호전력비(JSR)가 작을 때는 MSK와 QPSK 변조 방식 사이의 성능은 별차이가 없으나, 재머전력재 신호전력비(JSR)가 커짐에 따라서 큰 성은의 차이가 나타난다. Rake 수신기가 없을 때는 DS 처리 이득이 커짐에 따라서 두 변조 방식의 성능이 약간씩 개선된다. 재머전력재 신호전력비(JSR)가 작을 때는 DS 처리이득만이 최선의 성능을 좌우하지만, 재머전력재 신호전력비(JSR)가 클 때는 BER을 최소시키는 최적의 DS처리이득이 있다. Rake 수신기가 있는 경우에는, 모든 조건에서 MSK변조방식을 사용하는 하이브리드 DS/SFH 확산 스펙트럼 시스템이 QPSK 변조 방식을 사용하는 경우보다 항재밍 성능이 강하고 더 큰 성능 개선이 있음을 보인다.

CFD를 이용한 오리피스 유량계의 차압계산 (Calculations of Pressure Difference in Orifice Flowmeter using CFD)

  • 김홍민;김광용;허재영;하영철
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2001년도 유체기계 연구개발 발표회 논문집
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    • pp.400-403
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    • 2001
  • In this study, commercial CFD code, i.e, CFX-4.3 is used to analyze the flow field and to calculate pressure differences in an orifice flowmeter. Four numerical schemes and five turbulence models are tested. Hybrid scheme and Reynolds stress model show the best performance. Chosen scheme and turbulence model are applied to predict pressure differences through the orifice for the diameter ratios, 0.3, 0.5, and 0.7. And, the results are compared with the experimental data. The results show that the calculation error is inversely proportional to the diameter ratio, and is proportional to the mass flow rate.

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