• 제목/요약/키워드: Stokes

검색결과 2,861건 처리시간 0.031초

A POINT COLLOCATION SCHEME FOR THE STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • Kim, Yongsik
    • 대한수학회보
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    • 제50권5호
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    • pp.1737-1751
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    • 2013
  • An efficient and stable point collocation scheme based on a meshfree method is studied for the stationary incompressible Navier-Stokes equations. We describe the diffuse derivatives associated with the moving least square method. Using these diffuse derivatives, we propose a point collocation method to fit in solving the Navier-Stokes equations which improves the stability of the direct point collocation scheme. The convergence of the numerical solution is investigated from numerical examples. The driven cavity ow and the backward facing step ow are implemented for the reliability of the scheme. Also, the viscous ow on complicated geometry is successfully calculated such as the ow past a circular cylinder in duct.

진동하는 날개의 3차원 동실속에 관한 수치해석 (Numerical Analysis of Three Dimensional Dynamic Stall of an Oscillating Wing)

  • 고성호
    • 대한기계학회논문집B
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    • 제25권1호
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    • pp.62-70
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    • 2001
  • Three-dimensional dynamic stall over an oscillating wing has been analyzed by using a compressible Navier-Stokes code. The code solved the thin-layer Navirer-Stokes equations with a second-order time accuracy for a semispan wing with 0.3048m chord, a NACA 0015 airfoil section, and zero twist Computations were made for a freestream Mach number of 0.29, a chord Reynolds number of 1.95$\times$10(sup)6 and a reduced frequency equal to 0.1. Numerical results were compared with experimental data which include the hysteresis of lift, drag and moment at various wing span. The comparison reveals the quantitative as well as qualitative nature of the three-dimensional dynamic stall.

Fractional-Step법을 이용한 비압축성 비정상 Navier-Stokes 방정식의 유한 요소해석 (Finite Element Analysis of Incompressible Transient Navier-Stokes Equation using Fractional-Step Methods)

  • 김형민;이신표
    • 대한기계학회논문집B
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    • 제27권4호
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    • pp.458-465
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    • 2003
  • The main objective of the research is to develop a research code solving transient incompressible Navier-Stokes equation. In this research code, Adams-Bashforth method was applied to the convective terms of the navier stokes equation and the splitted equations were discretized spatially by finite element methods to solve the complex geometry problems easily. To reduce the divergence on the boundaries of pressure poisson equation due to the unsuitable pressure boundary conditions, multi step approximation pressure boundary conditions derived from the boundary linear momentum equations were used. Simulations of Lid Driven Flow and Flow over Cylinder were conducted to prove the accuracy by means of the comparison with results of the previous workers.

Slip flow 영역에서 Navier Stokes 방정식의 해석 연구 (Solutions of the Navier-Stokes equation in slip flow region)

  • 박원희;김태국
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.597-602
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    • 2000
  • In a MEMS(micro-electro mechanical system), the fluid may slip near the surface of a solid and have a discontinuous temperature profile. A numerical prediction in this slip flow region can provide a reasonable guide for the design and fabrication of micro devices. The compressible Navier-Stokes equation with Maxwell/smoluchowski boundary condition is solved for two simple systems; couette flow and pressure driven flow in a long channel. We found that the couette flow could be regarded as an incompressible system in low speed regions. For the pressure driven flow system, we observed nonlinear distribution of pressure in the long channel and numerical results showed a good agreement with the experimental results.

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다공성 매질의 내부유동에 관한 섭동해석 (Perturbation Analysis of Stokes Flow in Porous Medium)

  • 성관제
    • 한국물환경학회지
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    • 제21권4호
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    • pp.393-397
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    • 2005
  • In this study, flow in a porous medium is analyzed using a computer-extended perturbation series solution. The flow is modelled as a creeping flow in a periodically constricted channel. The channel walls have a sinusoidally varying width and the flow is analyzed in terms of its vorticity and stream functions in the Stokes flow regime. The perturbation series in terms of a small parameter, average width to length ratio, is extended with a computer resulting in purely asymptotic series and Pade summation is used to obtain final results. Resulting flow shows flow separations in the widening section and immobile zones in the widest section of the flow regime with reattachment in the narrowing section. Analysis of the flow separation phenomena resulted in a correlation between the two geometric parameters of the channel walls to predict the onset of flow separation in the Stokes flow regime.

축류압축기의 Navier-Stokes설계를 위한 계산격자점 생성기법 연구 (Computational Grid Generation for Navier-Stokes Design of Axial-Flow Compressors)

  • 정희태
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1997년도 추계 학술대회논문집
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    • pp.38-42
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    • 1997
  • A multiblock grid generation has been applied to a Navier-Stokes design procedure of a axial-flow compressors. A multiblock structure simplifies the creation of structured H-grids about complex turbomachinery geometries and facilitate the creation of a grid in the tip flow region. The numerical algorithm adopts the combination of the algebraic and elliptic method to create the internal grids efficiently and quickly. The input module is made of the results of the preliminary design, i.e., flow-path, aerodynamic conditions along the spanwise direction, and the blade profile data. The final grids generated from each module of the system are used as the preprocessor for the performance prediction of the sectional blade, the blade-stacking process and the three-dimensional flow simulation inside the blade passage. Application to the blade design of the LP compressor was demonstrated to be very reliable and practical in support of design activities. This customized system are coupled strongly with the design procedure of the turbomachinery cascades using the Navier-Stokes technique.

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NUMERICAL IMPLEMENTATION OF THE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION

  • CHOI, YONGHO;JEONG, DARAE;LEE, SEUNGGYU;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.103-121
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    • 2015
  • In this paper, we briefly review and describe a projection algorithm for numerically computing the two-dimensional time-dependent incompressible Navier-Stokes equation. The projection method, which was originally introduced by Alexandre Chorin [A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), pp. 745-762], is an effective numerical method for solving time-dependent incompressible fluid flow problems. The key advantage of the projection method is that we do not compute the momentum and the continuity equations at the same time, which is computationally difficult and costly. In the projection method, we compute an intermediate velocity vector field that is then projected onto divergence-free fields to recover the divergence-free velocity. Numerical solutions for flows inside a driven cavity are presented. We also provide the source code for the programs so that interested readers can modify the programs and adapt them for their own purposes.

정사각형 관내의 전개 중인 난류 유동 해석 (Calculation of Developing Turbulent Flow in a Square Duct)

  • 신승주;박승오;김의택
    • 대한기계학회논문집
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    • 제13권1호
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    • pp.170-177
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    • 1989
  • 본 연구에서는 부분 포물형 Navier-Stokes 방정식에 Speziale이 제안한 비선형 k-.epsilon. 난류 모형을 적용하여 비직교 조표계에서 전개 중인 유동의 평균 속도와 난류 운동에너지 등을 예측하였다.

옻나무 전탕추출물 치료를 받은 위암 IV기 환자 1례 (One Case of Stage IV Gastric Cancer Patient by Treatment of Rhus vernifciflua Stokes Decoction)

  • 김보근;박상채
    • 대한암한의학회지
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    • 제18권1호
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    • pp.17-22
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    • 2013
  • Objectives : The aim of this report is to evaluate antitumor efficacy of Rhus vernifciflua STOKES decoction (Chijong-tang). Methods : One advanced gastric cancer patient with peritoneal seeding and mesenteric metastasis visited Hana integrative Clinic of Korean medicine in Aug 2012 and was treated with Chijong-tang for 14 months. Results : Chijong-tang showed no side effect during its treatment (Aug 2012 ~ Oct 2013) and the patient showed no disease progression. Conclusion : This case report suggests that Rhus vernifciflua Stokes decoction (Chijong-tang) can be a potent anticancer agent for gastric cancer, but it still required further scientific and clinical evidence.

Ge$O_2$-doped 다중모드 파이버에서 유도라만산한의 스토크스 펄스의 발생 (Evolution of stokes pulses of stimulated Raman scattering in a Ge$O_2$-doped multimode fiber)

  • Yi, Yong-Woo;Hwang, In-Duk
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2002년도 추계종합학술대회
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    • pp.529-532
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    • 2002
  • 본 논문은 1064 nm의 Q-스위칭 Nd:YAG로 펌핑된 단일통과 라만레이저에서 nano-초의 스토크스 펄스발생에 관한 연구이며, 라만 매질로는 GeO$_2$로 도핑된 grad index형 다중모드 파이버 220 m를 사용하였다. 실험 결과에서 펌핑 에너지의 변화에 따라 1.5~2.7 nano 초의 펄스폭을 갖는 스토크스 펄스 트레인 성분이 효율적으로 발생함을 알 수 있었다.

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