• 제목/요약/키워드: Solver

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SIMPLE Algorithm기반의 비압축성 Navier-Stokes Solver와 Immersed Boundary Method (IMPLEMENTATION OF IMMERSED BOUNDARY METHOD TO INCOMPRESSIBLE NAVIER-STOKES SOLVER USING SIMPLE ALGORITHM)

  • 김건홍;박승오
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.397-403
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    • 2010
  • The Immersed boundary method(IBM) is one of CFD techniques which can simulate flow field around complex objectives using simple Cartesian grid system. In the previous studies the IBM has mostly been implemented to fractional step method based Navier-Stokes solvers. In these cases, pressure buildup near IB was found to occur when linear interpolation and stadard mass conservation is used and the interpolation scheme became complicated when higher order of interpolation is adopted. In this study, we implement the IBM to an incompressible Navier-Stokes solver which uses SIMPLE algorithm. Bi-linear and quadratic interpolation equations were formulated by using only geometric information of boundary to reconstruct velocities near IB. Flow around 2D circular cylinder at Re=40 and 100 was solved by using these formulations. It was found that the pressure buildup was not observed even when the bi-linear interpolation was adopted. The use of quadratic interpolation made the predicted aerodynamic forces in good agreement with those of previous studies.

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혼합격자를 이용한 2차원 난류 유동장 해석 프로그램의 병렬화 (Parallelization of a Two-Dimensional Navier-Stokes Solver Using Hybrid Meshes)

  • 옥호남;박승오
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 추계 학술대회논문집
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    • pp.115-126
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    • 1999
  • A two-dimensional Navier-Stokes solver using hybrid meshes is parallelized with a domain decompostion method. The focus of this paper is placed on minimizing the amount of effort in parallelizing the serial version of the solver, and this is achieved by adding an additional layer of cells to each decomposed domain. Most subroutines of the serial solver are used without modification, and the information exchange between neighboring domains is achieved using MPI(Message Passing Interface) library. Load balancing among the processors and scheduling of the message passing are implemented to reduce the overhead of parallelization, and the speed-up achieved by parallelization is measured on the transonic invisicd and turbulent flow problems. The parallelization efficiencies of the explicit Runge-Kutta scheme and the implicit point-SGS scheme are compared and the effects of various factors on the results are also studied.

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비정렬 및 적응 직교격자를 이용한 2차원 혼합격자계 유동해석 코드 개발 (Development of a 2-dimensional Flow Solver using Hybrid Unstructured and Adaptive Cartesian Meshes)

  • 정민규;권오준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.294-301
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    • 2011
  • A two-dimensional hybrid flaw solver has been developed for the accurate and efficient simulation of steady and unsteady flaw fields. The flow solver was cast to accommodate two different topologies of computational meshes. Triangular meshes are adopted in the near-body region such that complex geometric configurations can be easily modeled, while adaptive Cartesian meshes are, utilized in the off-body region to resolve the flaw more accurately with less numerical dissipation by adopting a spatially high-order accurate scheme and solution-adaptive mesh refinement technique. A chimera mesh technique has been employed to link the two flow regimes adopting each mesh topology. Validations were made for the unsteady inviscid vol1ex convection am the unsteady turbulent flaws over an NACA0012 airfoil, and the results were compared with experimental and other computational results.

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Prolog 언어를 사용한 집합 제한 논리 언어의 구현 (An Implementation of Set Constraints Logic Language Using Prolog)

  • 김인영;신동하
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2003년도 추계종합학술대회
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    • pp.183-187
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    • 2003
  • In this paper, we describe an implementation method of "set constraints logic language" using the logic language Prolog. "Set constraints logic language" is a programming language with a new paradigm that uses the "set theory" in programming. In this paper, we explain "set constraints problem solver" that has been proposed by A. Dovier and his researchers and we describe an implementation method of this solver using Prolog. We ran easily implement the "set constraints problem solver" in Prolog, since Prolog easily implements nondeterministic problems and provides a data structure railed list. We have applied the language to several application fields to show the usefulness of the language.

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의사결정지원시스템에서 직관적이고 사용자 친숙한 모델 해결을 위한 모델과 솔버의 유연한 통합에 대한 연구 (Flexible Integration of Models and Solvers for Intuitive and User-Friendly Model-Solution in Decision Support Systems)

  • 이근우;허순영
    • 한국경영과학회지
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    • 제30권1호
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    • pp.75-94
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    • 2005
  • Research in the decision sciences has continued to develop a variety of mathematical models as well as software tools supporting corporate decision-making. Yet. in spite of their potential usefulness, the models are little used in real-world decision making since the model solution processes are too complex for ordinary users to get accustomed. This paper proposes an intelligent and flexible model-solver integration framework that enables the user to solve decision problems using multiple models and solvers without having precise knowledge of the model-solution processes. Specifically, for intuitive model-solution, the framework enables a decision support system to suggest the compatible solvers of a model autonomously without direct user intervention and to solve the model by matching the model and solver parameters intelligently without any serious conflicts. Thus, the framework would improve the productivity of institutional model solving tasks by relieving the user from the burden of leaning model and solver semantics requiring considerable time and efforts.

Euler 방정식을 사용한 익형 주위에서의 유동장 해석 (A Flowfield Analysis Around an Airfoil by Using the Euler Equations)

  • 김문상
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 춘계 학술대회논문집
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    • pp.186-191
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    • 1999
  • An Euler solver is developed to predict accurate aerodynamic data such as lift coefficient, drag coefficient, and moment coefficient. The conservation law form of the compressible Euler equations are used in the generalized curvilinear coordinates system. The Euler solver uses a finite volume method and the second order Roe's flux difference splitting scheme with min-mod flux limiter to calculate the fluxes accurately. An implicit scheme which includes the boundary conditions is implemented to accelerate the convergence rate. The multi-block grid is integrated into the flow solver for complex geometry. The flowfields are analyzed around NACA 0012 airfoil in the cases of $M_{\infty}=0.75,\;\alpha=2.0\;and\;M_{\infty}=0.80,\;\alpha=1.25$. The numerical results are compared with other numerical results from the literature. The final goal of this research is to prepare a robust and an efficient Navier-Stokes solver eventually.

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A neural network solver for differential equations

  • Wang, Qianyi;Aoyama, Tomoo;Nagashima, Umpei;Kang, Eui-Sung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.88.4-88
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    • 2001
  • In this paper, we propose a solver for differential equations, using a multi-layer neural network. The multi-layer neural network is a transformer function originally where the function is differential and the explicit representation has been developed. The learning determines the response of neural networks; however, the response is not equal to the output values. The differential relations are also the response. The differential conditions can be also set as teaching data; therefore, there is a possibility to reach a new solver for the differential equations. Since it is unknown how to define the input data for the neural network solver during long terms, we could not derive the expressions. Recently, the analogue type neural network is known and it transforms any vector to another The "any" must be...

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Coloring이 적용된 Gauss-Seidel 해법을 통한 CPU와 GPU의 연산 효율에 관한 연구 (An Investigation of the Performance of the Colored Gauss-Seidel Solver on CPU and GPU)

  • 윤종선;전병진;최형권
    • 대한기계학회논문집B
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    • 제41권2호
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    • pp.117-124
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    • 2017
  • 본 연구에서는 Coloring 기법을 적용한 Gauss-Seidel 해법의 연산 성능을 분석하기 위해 2차원과 3차원 전도 열전달 문제를 다양한 격자 크기에서 해석하였다. 지배방정식의 이산화는 유한차분법과 유한요소법을 사용하였다. CPU의 경우에는 상대적으로 작은 격자계에서 연산 성능이 좋으며, 계산에 사용되는 메모리의 크기가 캐시메모리보다 크게 되면 연산 성능이 급격히 떨어진다. 반면에, GPU는 메모리 지연시간 숨김 특성으로 인하여 격자의 수가 충분히 많을 때 연산 성능이 좋다. GPU에 기반한 Colored Gauss-Seidel 해법은 단일 CPU를 이용한 연산에 비해서 각각 최대 7배의 속도 향상을 보인다. 또한, GPU 기반에서 Colored Gauss-Seidel 해법은 Jacobi 보다 약 2배 빠름을 확인하였다.