• Title/Summary/Keyword: Stokes parameter

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Parallel Performance of Preconditioned Navier-Stokes Code on Myrinet Environment (Myrinet 환경에서 예조건화 Navier-Stokes 코드의 병렬처리 성능)

  • Kim M.-H.;Lee G. S.;Choi J.-Y.;Kim K. S.;Kim S.-L.;Jeung I.-S.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.149-154
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    • 2001
  • Parallel performance of a Myrinet based PC-cluster was tested and compared with a conventional Fast-Ethernet system. A preconditioned Navier-Stokes code was parallelized with domain decomposition technique, and used for the parallel performance test. Speed-up ratio was examined as a major performance parameter depending on the number of processor and the network topology. As was expected, Myrinet system shows a superior parallel performance to the Fast-Ethernet system even with a single network adpater for a dual processor SMP machine. A test for the dependency on problem size also shows that network communication speed is a crucial factor for parallelized computational fluid dynamics analysis and the Myrinet system is a plausible candidate for high performance parallel computing system.

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A BOUNDARY CONTROL PROBLEM FOR THE TIME-DEPENDENT 2D NAVIER-STOKES EQUATIONS

  • Kim, Hongchul;Kim, Seon-Gyu
    • Korean Journal of Mathematics
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    • v.16 no.1
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    • pp.57-84
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    • 2008
  • In this paper, a boundary control problem for a flow governed by the time-dependent two dimensional Navier-Stokes equations is considered. We derive a mathematical formulation and a relevant process for an appropriate control along the part of the boundary to minimize the drag due to the flow. After showing the existence of an optimal solution, the first order optimality conditions are derived. The strict differentiability of the state solution in regard to the control parameter shall be exposed rigorously, and the necessary conditions along with the system for the optimal solution shall be deduced in conjunction with the evaluation of the first order Gateaux derivative to the performance functional.

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A Numerical Analysis of Supersonic Impinging Jet Flows on Curved Surfaces using Upwind Wavier-Stokes Method (Upwind Navier-Stokes 방법을 이용한 굴곡면에 충돌하는 초음속 제트유동의 수치 해석적 연구)

  • Seo Jeong Il;Song Dong Joo
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.229-232
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    • 2002
  • For the purpose of Thermal Protection Material design problem, a numerical analysis of axisymmetric high temperature supersonic impinging jet flows of exhaust gas from combustor on curved surfaces has been accomplished. A modifed CSCM Upwind Navier-Stokes method which is able to cure the carbuncle Phenomena has been developed to study strong shock wave structure and thermodynamic wall properties such as pressure and heat transfer rate on various curved surfaces. The results show that the maximum heat transfer rate which is the most important parameter affecting thermo-chemical surface ablation on the plate did not occur at the center of jet impingement, but rather on a circle slightly away from the center of impingement and the shear stress distribution alone the wall is similar to the wall heat transfer late distribution.

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ON A VORTICITY MINIMIZATION PROBLEM FOR THE STATIONARY 2D STOKES EQUATIONS

  • KIM HONGCHUL;KWON OH-KEUN
    • Journal of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.45-63
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    • 2006
  • This paper is concerned with a boundary control problem for the vorticity minimization, in which the flow is governed by the stationary two dimensional Stokes equations. We wish to find a mathematical formulation and a relevant process for an appropriate control along the part of the boundary to minimize the vorticity due to the flow. After showing the existence and uniqueness of an optimal solution, we derive the optimality conditions. The differentiability of the state solution in regard to the control parameter shall be conjunct with the necessary conditions for the optimal solution. For the minimizer, an algorithm based on the conjugate gradient method shall be proposed.

PRECONDITIONERS FOR THE PRESSURE-CORRECTION METHOD APPLIED TO THE UNSTEADY STOKES PROBLEM

  • Ghahreman, N.;Kerayechian, A.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.307-321
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    • 2004
  • In this paper, the unsteady Stokes problem is considered and also the pressure-correction method for the problem is described. At a fixed time level, we reduce the problem to two symmetric positive definite problems which depend on a time step parameter. Linear systems that arise from the problems are large, sparse, symmetric, positive definite and ill-conditioned as the time step tends to zero. Preconditioned problems based on an additive Schwarz method for solving the symmetric positive definite problems are derived and preconditioners are defined implicitly. It will be shown that the rate of convergence is independent of the mesh parameters as well as the time step size.

A BOUNDARY CONTROL PROBLEM FOR VORTICITY MINIMIZATION IN TIME-DEPENDENT 2D NAVIER-STOKES EQUATIONS

  • KIM, HONGCHUL
    • Korean Journal of Mathematics
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    • v.23 no.2
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    • pp.293-312
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    • 2015
  • We deal with a boundary control problem for the vorticity minimization, in which the ow is governed by the time-dependent two dimensional incompressible Navier-Stokes equations. We derive a mathematical formulation and a process for an appropriate control along the portion of the boundary to minimize the vorticity motion due to the ow in the fluid domain. After showing the existence of an optimal solution, we derive the optimality system for which optimal solutions may be determined. The differentiability of the state solution in regard to the control parameter shall be conjunct with the necessary conditions for the optimal solutions.

Study on the Fluid-Surface Characteristics by Using Flow Visualization and Numerical Simulation of Stokes Flow in a Cavity (3차원 캐버티 표면의 스톡스 유동 가시화 및 수치해석을 통한 표면 특성 연구)

  • Heo, Hyo-Weon;Lee, Heon-Deok;Jung, Won-Hyuk;Cho, Dong-Sik;Suh, Yong-Kweon
    • Journal of the Korean Society of Visualization
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    • v.9 no.3
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    • pp.44-50
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    • 2011
  • In this study, we propose a method for characterizing fluid-mechanical properties of a fluid surface, such as surface dilatational and shear viscosity, by matching the flow visualization and the numerical simulation for a Stokes flow in a three-dimensional cavity. The surface flow is driven by shear stress exerted on the free surface by an external gas flow. The external gas flow is simulated by using a commercial code, while the Stokes flow is calculated by an in-house code. We have found that the surface flow is very sensitive to the surface tension and other properties. The qualitative feature of the surface flow can be reproduced by the parameter tuning.

Polarization Distortion and Compensation of Circularly Polarized Emission from Chiral Metasurfaces

  • Yeonsoo Lim;In Cheol Seo;Young Chul Jun
    • Current Optics and Photonics
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    • v.7 no.2
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    • pp.147-156
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    • 2023
  • Circularly polarized (CP) emission can be achieved by integrating emissive materials into chiral metasurfaces. Such CP light sources in integrated device platforms are desirable for important potential applications. However, the exact characterization of the polarization state in CP emission may include some errors because of the unwanted polarization distortion caused by optical components (e.g., beam splitter) in the optical setup. Here, we consider CP emission measurements from chiral metasurfaces and characterize the polarization distortion caused by the beam splitter. We first detail the procedures for the Stokes parameters and Mueller matrix measurements. Then, we directly measure the Mueller matrix of the beam splitter and retrieve the original polarization state of CP emission from our metasurface sample. Using the measured Mueller matrix of the beam splitter, we specifically identify what contributes to polarization distortion in CP emission. Our work may provide useful guidelines for the characterization and compensation of polarization distortion in general Stokes parameter measurements.

Numerical Investigation of the Lateral Jet Effect on the Aerodynamic Characteristics of the Missile: Part II. Freestream-Jet Angle Effect (측 추력 제트가 미사일의 공력특성에 미치는 영향에 관한 연구 : Part II. 자유류-제트 각 영향)

  • Min, Byung-Young;Lee, Jae-Woo;Byun, Yung-Hwan;Hyun, Jae-Soo;Kim, Sang-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.9
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    • pp.27-34
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    • 2004
  • A computational study on the supersonic flow around the lateral jet controlled missile has been performed. For this purpose a three dimensional Navier-Stokes computer code(AADL3D) has been developed and case studies have been performed by comparing the normal force coefficient and the moment coefficient of a missile body for several parameters such as angles of attack, circumferential jet positions, and spouting jet angles. Missile surface is divided into four regions with respect to the center of gravity, and the normal force and moment distribution at each region are compared. The results show different behavior of the normal force and moment variation according to each parameter. Furthermore, it is shown that the pitching moment can be minimized through proper combination of each parameter.

Analysis of flow in a square cavity with an oscillating top wall (진동하는 윗벽면을 가진 정방형 웅덩이 안에서의 흐름)

  • Min, Byeong-Gwang;Jang, Geun-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.3
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    • pp.392-404
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    • 1997
  • The flow induced by the oscillatory motion of a solid body is important in a number of practical problems. As the solid boundary oscillates harmonically, there is steady streaming motion invoked by the Reynolds stresses, which could cause extensive migration of the fluid during a period of fluid motion. We here analyzed the flow in a square cavity with an oscillating top wall for the parameters which make the time derivatives and the convective terms equally important in the entire cavity flow. The full Navier-Stokes equations are solved by the second-order time accurate Momentum Coupling Method which is devised by the authors. The particular numerical scheme does not need subiteration at each time step which is usually a required process to calculate the incompressible Navier-Stokes equations. The effect of two parameters, the Reynolds number and the frequency parameter, on the oscillatory flow has been investigated.