• Title/Summary/Keyword: numerical implementation

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IMPLEMENTATION OF VELOCITY SLIP MODELS IN A FINITE ELEMENT NUMERICAL CODE FOR MICROSCALE FLUID SIMULATIONS (속도 슬립모델 적용을 통한 마이크로 유체 시뮬레이션용 FEM 수치 코드 개발)

  • Hoang, A.D.;Myong, R.S.
    • Journal of computational fluids engineering
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    • v.14 no.2
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    • pp.46-51
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    • 2009
  • The slip effect from the molecular interaction between fluid particles and solid surface atoms plays a key role in microscale fluid transport and heat transfer since the relative importance of surface forces increases as the size of the system decreases to the microscale. There exist two models to describe the slip effect: the Maxwell slip model in which the slip correction is made on the basis of the degree of shear stress near the wall surface and the Langmuir slip model based on a theory of adsorption of gases on solids. In this study, as the first step towards developing a general purpose numerical code of the compressible Navier-Stokes equations for computational simulations of microscale fluid flow and heat transfer, two slip models are implemented into a finite element numerical code of a simplified equation. In addition, a pressure-driven gas flow in a microchannel is investigated by the numerical code in order to validate numerical results.

A PARALLEL IMPLEMENTATION OF A RELAXED HSS PRECONDITIONER FOR SADDLE POINT PROBLEMS FROM THE NAVIER-STOKES EQUATIONS

  • JANG, HO-JONG;YOUN, KIHANG
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.3
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    • pp.155-162
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    • 2018
  • We describe a parallel implementation of a relaxed Hermitian and skew-Hermitian splitting preconditioner for the numerical solution of saddle point problems arising from the steady incompressible Navier-Stokes equations. The equations are linearized by the Picard iteration and discretized with the finite element and finite difference schemes on two-dimensional and three-dimensional domains. We report strong scalability results for up to 32 cores.

Implementation of Q-Tensor Model into 3-D Finite Element Method (FEM) Numerical Solver

  • Shin, Woo-Jung;Yoon, Hyung-Jin;Won, Tae-Young
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.509-512
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    • 2007
  • In this paper, we report our successful implementation of Q tensor model in threedimensional finite element method (FEM) simulator. The 3D-FEM Q tensor-model-based simulation revealed that the spaly-to-bend transition occurs only at 4 V while the vector-model based FEM solver provides an erroneous transition voltage of 8 V.

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Finite Element Analysis considering transformation plasticity for a welded structure (변태 소성을 고려한 용접 구조물의 유한 요소 해석)

  • 김주완;임세영
    • Proceedings of the KWS Conference
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    • 2001.10a
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    • pp.116-118
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    • 2001
  • We propose an implicit numerical implementation for Leblond's transformation plasticity constitutive equations , which are widely used in welded steel structure. We apply Euler backward scheme rule to integrate the equations and determine the consistent tangent modulus. The implementation may be used with updated Lagrangian formulation. we test a simple butt-welding process to compare with SYSWELD and discuss the accuracy.

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EVALUATION OF SINGULAR INTEGRALS BY HYPERBOLIC TANGENT BASED TRANSFORMATIONS

  • Yun, Beong-In
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.133-146
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    • 2011
  • We employ a hyperbolic tangent function to construct nonlinear transformations which are useful in numerical evaluation of weakly singular integrals and Cauchy principal value integrals. Results of numerical implementation based on the standard Gauss quadrature rule show that the present transformations are available for the singular integrals and, in some cases, give much better approximations compared with those of existing non-linear transformation methods.

A Few Applications of Polarity Correlation Method in a Frame of Deterministic Signals

  • Kim, io-Sasaki;Mariko Ikeda
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.86.1-86
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    • 2002
  • Polarity correlation is a simplified version of the usual, having a possibility of real-time processing without any reduction of precision. In this paper, its applicability in deterministic signals is first explored generally, by theoretical or numerical analysis of four kinds of the typical signals. Then, based on the results, its two applications are proposed, that are detection and demodulation of FSK signals in digital communication, and time delay estimasion in ultrasonic A-mode measurement. The effectiveness of the proposed applications is confirmed by its superior implementation ability and the results of numerical experiments under practical circumstances.

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Nonlinear Control of General System based on a Model with Coefficients of State-Depended Representation

  • Nakamura, Masatoshi;Zhang, Tao
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.76.1-76
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    • 2002
  • This paper addresses a method for nonlinear controller construction for a general nonlinear system with the separation of controller construction and manipulated values generation. The nonlinear system model is firstly expressed with the coefficients of state-depended representation. The nonlinear control is designed without any approximation based on the model with state-depended representation. At the stage of controller implementation for the nonlinear system, the manipulated values are calculated accurately by use of an algorithm of the numerical analysis. The numerical error for calculating the manipulated value can be reduced to zero by selecting the sampling interval being a small val...

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Fluid-structure interaction problems solution by operator split methods and efficient software development by code-coupling

  • Ibrahimbegovic, Adnan;Kassiotis, Christophe;Niekamp, Rainer
    • Coupled systems mechanics
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    • v.5 no.2
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    • pp.145-156
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    • 2016
  • An efficient and general numerical strategy for fluid-structure interaction problems is presented where either the fluid or the structure part are represented by nonlinear models. This partitioned strategy is implemented under the form of code coupling that allows to (re)-use previous made developments in a more general multi-physics context. This strategy and its numerical implementation is verified on classical fluid-structure interaction benchmarks, and then applied to the impact of tsunamis waves on submerged structures.

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

  • Park, Pil-Seong
    • Ocean and Polar Research
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    • v.23 no.2
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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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MSE of Dual-k Convolutional Codes for an AWGN Channel with Rayleigh Fading (Rayleigh Fading AWGN채널에 대한 Dual-K길쌈부호의 평균자승오차)

  • 문상재
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1986.04a
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    • pp.1-3
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    • 1986
  • We are concerned with transmitting numerical source data of {0, 1, 2, ..., 2k-1} through a channel coding system. The rate 1/v dual-k convolutional code with the orthogonal MFSK modulation and the Viterbl decoding is employed for the implementation of the channel coding system. The mean square error of the dual-k convolutional code is evaluated for the numerical source transmitted over an additive white Gaussian noise channel with Rayleigh fading.

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