• 제목/요약/키워드: Two-step solution

검색결과 494건 처리시간 0.032초

Validation of Free-Vortex Embedded CAA Method for Airfoil Vortex Interaction

  • Wie, Seong-Yong;Lee, Duck-Joo
    • The Journal of the Acoustical Society of Korea
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    • 제25권2E호
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    • pp.85-88
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    • 2006
  • Blade-vortex interaction (BVI) is one of the most important phenomena in rotor flow since it causes undesirable intense vibration and noise. Since three dimensional Euler or Navier-Stokes solutions to BVI require very high computational cost, BVI has been approximated by airfoil-vortex interaction (AVI) in chordwise planes. To describe more realistic situations with AVI, three dimensional vortex informations such as position, core size and strength are embedded artificially to Computational Aeroacoustics (CAA) calculation at each computational time step. To implement this requirement, in this paper, a technique called free vortex embedded method was used. And the solution by this method was compared with the solution by conventional method for interaction between freely convected vortex and airfoil. For the application to three dimensional free vortex embedded CAA, two dimensional free vortex embedded CAA method was validated in advance.

FINDING THE OPTIMUM DOMAIN OF A NONLINEAR WAVE OPTIMAL CONTROL SYSTEM BY MEASURES

  • J., A.Fakharzadeh
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.183-194
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    • 2003
  • We will explain a new method for obtaining the nearly optimal domain for optimal shape design problems associated with the solution of a nonlinear wave equation. Taking into account the boundary and terminal conditions of the system, a new approach is applied to determine the optimal domain and its related optimal control function with respect to the integral performance criteria, by use of positive Radon measures. The approach, say shape-measure, consists of two steps; first for a fixed domain, the optimal control will be identified by the use of measures. This function and the optimal value of the objective function depend on the geometrical variables of the domain. In the second step, based on the results of the previous one and by applying some convenient optimization techniques, the optimal domain and its related optimal control function will be identified at the same time. The existence of the optimal solution is considered and a numerical example is also given.

암모니아/물 흡수식 냉동기의 수직원관형 흡수기의 동적 모델 (Dynamic Model of a Vertical Tube Absorber for Ammonia/water Absorption Refrigerators)

  • 문현석;정은수;김병주
    • 설비공학논문집
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    • 제14권10호
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    • pp.844-853
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    • 2002
  • A dynamic model which simulates the coupled heat and mass transfer within a vertical tube absorber was developed. The liquid film is a binary mixture of two components, and both of these components are present in the vapor phase. The pressure, concentration, temperature and mass flow rate of the vapor are obtained by assuming that the pressure is uniform within an absorber. The model was applied to an absorber for an ammonia/water absorption refrigerator. The transient behaviors of the pressure, the outlet temperature and the concentration of the solution and the cooling water outlet temperature on a step change at the absorber inlet of the cooling water temperature, the vapor mass flow rate and the concentration of the solution were shown.

Template Synthesis of New Nickel(Ⅱ) Comlexes of 14-Membered Pentaaza Macrocyclic Ligands: Effects of C-Alkyl and N-Hydroxyalkyl Pendant Arms on the Solution Behaviors of the Complexes

  • 강신걸;최장식;김성진
    • Bulletin of the Korean Chemical Society
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    • 제16권6호
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    • pp.518-523
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    • 1995
  • New square planar nickel(Ⅱ) complexes with various 1-alkyl (4a-4c) and 1-hydroxyalkyl (4d-4f) derivatives of the 14-membered pentaaza macrocycle 8-ethyl-8-nitro-1,3,6,10,13-pentaazacyclotetradecane have been synthesized by two-step metal template condensation reactions of ethylenediamine, nitroethane, formaldehyde, and appropriate primary amines. The nitro group and/or hydroxyl group of 4a-4f are not directly involved in the coordination. The nickel(Ⅱ) complexes exist in coordinating solvents such as MeCN, Me2SO, and H2O as equilibrium mixtures of the square planar [Ni(L)]2+(L=4a-4f) and octahedral species [Ni(L)S2]2+(S=solvent molecule). Although the ligand field strength and redox potentials of the complexes are not affected by the nature of the substituents, the formation of octahedral species for 4d-4f in MeCN is strongly restricted by the hydroxyl group. Synthesis, characterization, and solution behaviors of the nickel(Ⅱ) complexes are described.

Method development to reduce the fiber content of wheat bran and rice bran through anaerobic fermentation with rumen liquor for use in poultry feed

  • Debi, Momota Rani;Wichert, Brigitta A;Liesegang, Annette
    • Asian-Australasian Journal of Animal Sciences
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    • 제32권3호
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    • pp.395-404
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    • 2019
  • Objective: Wheat bran (WB) and rice bran (RB) are the agricultural by-products used as poultry feed in many developing countries. However, their use for poultry feed is limited due to high fiber and the presence of anti-nutritional substances (e.g. ${\beta}-glucans$). The objective of this study was to develop a method to improve the quality of those brans by reducing the fiber content. Methods: A two-step fermentation method was developed where the second fermentation of first fermented dry bran was carried out. Fermentation was performed at a controlled environment for 3 h and 6 h (n = 6). The composition of brans, buffer solution and rumen liquor was maintained in a ratio of 1:2:3, respectively. Brans were analyzed for dry matter, crude fiber (CF), acid detergent fiber (ADF), neutral detergent fiber (NDF), and acid detergent lignin (ADL) content. Celluloses and hemicelluloses were calculated from the difference of ADF-ADL and NDF-ADF, respectively. Samples were compared by two-factor analysis of variance followed by Tukey's multiple comparison tests (p<0.05). Results: CF %, ADF % and cellulose tended to decrease and NDF % and hemicellulose content was reduced significantly (p<0.05). After the 1st fermentation step, NDF decreased $10.7%{\pm}0.55%$ after 3 h vs $17.0%{\pm}0.78%$ after 6 h in case of WB. Whereas, these values were $2.3%{\pm}0.30%$ (3 h) and $7.5%{\pm}0.69%$ (6 h) in case of RB. However, after the 2nd fermentation step, the decrease in the NDF content amounted to $9.1%{\pm}0.72%$ (3 h), $17.4%{\pm}1.13%$ (6 h) and $9.3%{\pm}0.46%$ (3 h), $10.0%{\pm}0.68%$ (6 h) in WB and RB, respectively. Cellulose and hemicellulose content was reduced up to $15.6%{\pm}0.85%$ (WB), $15.8%{\pm}2.20%$ (RB) and $36.6%{\pm}2.42%$ (WB), $15.9%{\pm}3.53%$ (RB), respectively after 2nd fermentation of 6 h. Conclusion: Two-step fermentation process improved the quality of the brans for their use in poultry feed.

2차원 비정렬 격자에서의 내재적 기법을 이용한 난류 유동 재산 (Calculation of Turbulent Flows Using an Implicit Scheme on Two-Dimensional Unstructured Meshes)

  • 강희정;권오준
    • 한국전산유체공학회지
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    • 제2권2호
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    • pp.26-34
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    • 1997
  • An implicit viscous turbulent flow solver is developed for two-dimensional geon unstructured triangular meshes. The flux terms are discretized based on a cell-centered formulation with the Roe's flux-difference splitting. The solution is advanced in time us backward-Euler time-stepping scheme. At each time step, the linear system of equation approximately solved wi th the Gauss-Seidel relaxation scheme. The effect of turbulence is with a standard k-ε two-equation model which is solved separately from the mean flow equation the same backward-Euler time integration scheme. The triangular meshes are generated advancing-front/layer technique. Validations are made for flows over the NACA 0012 airfoil. Douglas 3-element airfoil. Good agreements are obtained between the numerical result experiment.

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2차원 비정렬 격자에서의 내재적 기법을 이용한 난류 유동 계산 (Calculation of Turbulent Flows Using an Implicit Scheme on Two-Dimensional Unstructured Meshes)

  • 강희정;권오준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1997년도 추계 학술대회논문집
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    • pp.29-37
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    • 1997
  • An implicit viscous turbulent flow solver is developed for two-dimensional geometries on unstructured triangular meshes. The flux terms are discretized based on a cell-centered finite-volume formulation with the Roe's flux-difference splitting. The solution is advanced in time using an implicit backward-Euler time-stepping scheme. At each time step, the linear system of equations is approximately solved with the Gauss-Seidel relaxation scheme. The effect of turbulence effects is approximated with a standard $k-{\varepsilon}$ two-equation model which is solved separately from the mean flow equations using the same backward-Euler time integration scheme. The triangular meshes are generated using an advancing-front/layer technique. Validations are made for flows over the NACA0012 airfoil and the Douglas 3-element airfoil. Good agreements are obtained between the numerical results and the experiment.

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FINITE DIFFERENCE METHOD FOR THE TWO-DIMENSIONAL BLACK-SCHOLES EQUATION WITH A HYBRID BOUNDARY CONDITION

  • HEO, YOUNGJIN;HAN, HYUNSOO;JANG, HANBYEOL;CHOI, YONGHO;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권1호
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    • pp.19-30
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    • 2019
  • In this paper, we develop an accurate explicit finite difference method for the two-dimensional Black-Scholes equation with a hybrid boundary condition. In general, the correlation term in multi-asset options is problematic in numerical treatments partially due to cross derivatives and numerical boundary conditions at the far field domain corners. In the proposed hybrid boundary condition, we use a linear boundary condition at the boundaries where at least one asset is zero. After updating the numerical solution by one time step, we reduce the computational domain so that we do not need boundary conditions. To demonstrate the accuracy and efficiency of the proposed algorithm, we calculate option prices and their Greeks for the two-asset European call and cash-or-nothing options. Computational results show that the proposed method is accurate and is very useful for nonlinear boundary conditions.

컴퓨터 그래픽스 특수효과를 위한 유체시뮬레이션 기법들 (FLUID SIMULATION METHODS FOR COMPUTER GRAPHICS SPECIAL EFFECTS)

  • 정문열
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.1-1
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    • 2009
  • In this presentation, I talk about various fluid simulation methods that have been developed for computer graphics special effects since 1996. They are all based on CFD but sacrifice physical reality for visual plausability and time. But as the speed of computer increases rapidly and the capability of GPU (graphics processing unit) improves, methods for more physical realism have been tried. In this talk, I will focus on four aspects of fluid simulation methods for computer graphics: (1) particle level-set methods, (2) particle-based simulation, (3) methods for exact satisfaction of incompressibility constraint, and (4) GPU-based simulation. (1) Particle level-set methods evolve the surface of fluid by means of the zero-level set and a band of massless marker particles on both sides of it. The evolution of the zero-level set captures the surface in an approximate manner and the evolution of marker particles captures the fine details of the surface, and the zero-level set is modified based on the particle positions in each step of evolution. (2) Recently the particle-based Lagrangian approach to fluid simulation gains some popularity, because it automatically respects mass conservation and the difficulty of tracking the surface geometry has been somewhat addressed. (3) Until recently fluid simulation algorithm was dominated by approximate fractional step methods. They split the Navier-Stoke equation into two, so that the first one solves the equation without considering the incompressibility constraint and the second finds the pressure which satisfies the constraint. In this approach, the first step introduces error inevitably, producing numerical diffusion in solution. But recently exact fractional step methods without error have been developed by fluid mechanics scholars), and another method was introduced which satisfies the incompressibility constraint by formulating fluid in terms of vorticity field rather than velocity field (by computer graphics scholars). (4) Finally, I want to mention GPU implementation of fluid simulation, which takes advantage of the fact that discrete fluid equations can be solved in parallel.

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폴리아크릴로니트릴의 가수분해와 아미드화에 의한 열감응성 폴리(N-이소프로필아크릴아미드)의 합성과 특성분석 (Synthesis and Characterization of Thermo-responsive Poly(N-isopropylacrylamide) via Hydrolysis and Amidation of Poly(acrylonitrile))

  • 이희동;김영호
    • 폴리머
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    • 제37권6호
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    • pp.784-793
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    • 2013
  • 폴리아크릴로니트릴(PAN) 섬유로 된 제품에 열감응 특성을 부여하기 위하여, PAN을 가수분해하여 카복실기를 생성시키고 이를 1-ethyl-3-(3-dimethylaminopropyl)carbodiimide hydrochloride(EDC)와 N-히드록시석신이미드(NHS)를 촉매로 하여 이소프로필아민(IPA)과 반응시켜 열감응성 고분자인 폴리(N-이소프로필아크릴아미드) (PNIPAAm)로 전환시키는 방법에 대해 연구하였다. PAN을 알칼리 가수분해시킨 후 산 가수분해를 추가하여 카복실기 함량을 늘릴 수 있었다. 폴리아크릴산(PAA)과 IPA와의 아미드화 반응은 촉매인 EDC와 NHS의 양에 의존하며, PAA 단위가 약 53% 이상 PNIPAAm으로 전환되어야 하한임계용액온도(LCST) 거동을 나타냈다.