• 제목/요약/키워드: Numerical schemes

검색결과 758건 처리시간 0.026초

Application of a Parallel Asynchronous Algorithm to Some Grid Problems on Workstation Clusters

  • Park, Pil-Seong
    • Ocean and Polar Research
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    • 제23권2호
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    • pp.173-179
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    • 2001
  • Parallel supercomputing is now a must for oceanographic numerical modelers. Most of today's parallel numerical schemes use synchronous algorithms, where some processors that have finished their tasks earlier than others must wait at synchronization points for correct computation. Hence, the load balancing is a crucial factor, however, it is, in general, difficult to achieve on heterogeneous workstation clusters. We devise an asynchronous algorithm that reduces the idle times of faster processors, and discuss application of the algorithm to some grid problems and implementation on a workstation cluster using Message Passing Interface (MPI).

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NUMERICAL SOLUTION OF A GENERAL CAUCHY PROBLEM

  • El-Namoury, A.R.M.
    • Kyungpook Mathematical Journal
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    • 제28권2호
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    • pp.177-183
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    • 1988
  • In this work, two numerical schemes arc proposed for solving a general form of Cauchy problem. Here, the problem, to be defined, consists of a system of Volterra integro-differential equations. Picard's and Seiddl'a methods of successive approximations are ued to obtain the approximate solution. The convergence of these approximations is established and the rate of convergence is estimated in every case.

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원통형 연소기 내의 저주파 소음특성에 관한 수치적 연구 (Numerical Study on Characteristics of Low-Frequency Noise in a Cylindrical Combustor)

  • 김재헌;이수갑
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.492-497
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    • 1998
  • Thermoacoustic oscillation is a significant problem in cylindrical-type combustors such as common internal combustion engines, industrial furnaces, gas turbine, etc. This kind of low frequency oscillation can give rise to serious troubles such as the destruction of system or producing of a strong noise. Accurate numerical simulation of thermoacoustic phenomena is a complex and challenging problem. Especially, considering the reaction of mixture intensifies the difficulty of analysis. Like as other simulations of the aerodynamics and aeroacoustics, direct computation of thermoacoustic phenomena requires that the Navier-Stokes equations be solved using accurate numerical differentiation and time-marching schemes, with non-reflecting boundary conditions. In this study,, numerical approach aims at qualitative analysis and efficient prediction of problem, not at the development of an accurate scheme. Overally speaking, numerical prediction is reasonably matched with experimental result.

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하이드로사이클론 내의 난류유동해석 (Numerical Study of Turbulent Flow in a Hydrocyclone)

  • 주종일;최영석;이용갑;김탁현;김상용
    • 한국유체기계학회 논문집
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    • 제6권2호
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    • pp.34-40
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    • 2003
  • Numerical studies have been conducted to predict the solid-liquid separation efficiency of turbulent flow in a hydrocyclone using a commercial CFD code. To validate the CFD code, several preliminary numerical calculations are carried out to determine the influence of parameters such as grid systems, numerical schemes, and turbulence models. The numerical studies have been performed on the hydrocyclones with the different vortex finder geometries by changing the mass flow rate, and the results were compared with the experimental data. The results show that the CFD code can be used as a design tool to improve the performance of hydrocyclones.

움직이는 평면으로의 충돌 제트에 대한 수치해석 (NUMERICAL ANALYSIS OF JET IMPINGING ON A MOVING PLATE)

  • 강수진;서석원;이관수
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.129-134
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    • 2011
  • In this paper, the confined single slot jet impingement is investigated numerically. Although the geometry of the jet impingement is simple, the flow pattern of the jet impingement is complex and the numerical results of the jet impingement is affected much by numerical methods. The first goal of this study is to analyze the effects of Reynolds models and numerical spatial discretization schemes on the results of heat transfer performance and the flaw characteristics and to select the best method. Various versions of the low Reynolds number k-epsilon turbulence models are compared. Using the selected numerical method, the flow field and heat transfer characteristics of confined single slot jet impingement on a moving plate are analyzed.

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OpenFOAM과 어댑티드 격자를 이용한 난류 경계층의 직접 수치 모사 (Direct Numerical Simulations of Turbulent Boundary Layer using OpenFOAM and Adapted Mesh)

  • 이상봉
    • 대한조선학회논문집
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    • 제53권3호
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    • pp.210-216
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    • 2016
  • Direct numerical simulations of a spatially developing turbulent boundary layer on a flat plate have been performed to verify the applicability of OpenFOAM and adapted mesh with prism layers to turbulent numerical simulation with high fidelity as well as provide a guideline on numerical schemes and parameters of OpenFOAM. Reynolds number based on a momentum thickness at inlet and a free-stream velocity was Reθ=300. Time dependent inflow fields with near-wall turbulent structures were generated by a method of Lund et al. (1998), which was to extract instantaneous velocity fields from an auxiliary simulation with rescaled and recycled velocities at inlet. To ascertain the statistical characteristics of turbulent boundary layer, the mean profiles of streamwise velocity and turbulent intensities obtained from structured and adapted meshes were compared with the previous data.

Further validation of the hybrid particle-mesh method for vortex shedding flow simulations

  • Lee, Seung-Jae;Lee, Jun-Hyeok;Suh, Jung-Chun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권6호
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    • pp.1034-1043
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    • 2015
  • This is the continuation of a numerical study on vortex shedding from a blunt trailing-edge of a hydrofoil. In our previous work (Lee et al., 2015), numerical schemes for efficient computations were successfully implemented; i.e. multiple domains, the approximation of domain boundary conditions using cubic spline functions, and particle-based domain decomposition for better load balancing. In this study, numerical results through a hybrid particle-mesh method which adopts the Vortex-In-Cell (VIC) method and the Brinkman penalization model are further rigorously validated through comparison to experimental data at the Reynolds number of $2{\times}10^6$. The effects of changes in numerical parameters are also explored herein. We find that the present numerical method enables us to reasonably simulate vortex shedding phenomenon, as well as turbulent wakes of a hydrofoil.

Time-discontinuous Galerkin quadrature element methods for structural dynamics

  • Minmao, Liao;Yupeng, Wang
    • Structural Engineering and Mechanics
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    • 제85권2호
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    • pp.207-216
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    • 2023
  • Three time-discontinuous Galerkin quadrature element methods (TDGQEMs) are developed for structural dynamic problems. The weak-form time-discontinuous Galerkin (TDG) statements, which are capable of capturing possible displacement and/or velocity discontinuities, are employed to formulate the three types of quadrature elements, i.e., single-field, single-field/least-squares and two-field. Gauss-Lobatto quadrature rule and the differential quadrature analog are used to turn the weak-form TDG statements into a system of algebraic equations. The stability, accuracy and numerical dissipation and dispersion properties of the formulated elements are examined. It is found that all the elements are unconditionally stable, the order of accuracy is equal to two times the element order minus one or two times the element order, and the high-order elements possess desired high numerical dissipation in the high-frequency domain and low numerical dissipation and dispersion in the low-frequency domain. Three fundamental numerical examples are investigated to demonstrate the effectiveness and high accuracy of the elements, as compared with the commonly used time integration schemes.

Spectrum Hole Utilization in Cognitive Two-way Relaying Networks

  • Gao, Yuan;Zhu, Changping;Tang, Yibin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제8권3호
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    • pp.890-910
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    • 2014
  • This paper investigates the spectrum hole utilization of cooperative schemes for the two-way relaying model in order to improve the utilization efficiency of limited spectrum holes in cognitive radio networks with imperfect spectrum sensing. We propose two specific bidirectional secondary data transmission (BSDT) schemes with two-step and three-step two-way relaying models, i.e., two-BSDT and three-BSDT schemes, where the spectrum sensing and the secondary data transmission are jointly designed. In the proposed cooperative schemes, the best two-way relay channel between two secondary users is selected from a group of secondary users serving as cognitive relays and assists the bi-directional communication between the two secondary users without a direct link. The closed-form asymptotic expressions for outage probabilities of the two schemes are derived with a primary user protection constraint over Rayleigh fading channels. Based on the derived outage probabilities, the spectrum hole utilization is calculated to evaluate the percentage of spectrum holes used by the two secondary users for their successful information exchange without channel outage. Numerical results show that the spectrum hole utilization depends on the spectrum sensing overhead and the channel gain from a primary user to secondary users. Additionally, we compare the spectrum hole utilization of the two schemes as the varying of secondary signal to noise ratio, the number of cognitive relays, and symmetric and asymmetric channels.