• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2001년도 춘계학술대회논문집
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• pp.702-705
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• 2001

This paper deals with a method to predict the flying state of the head slider in a optical disk drive(ODD). The Dual Solver based on the Quasi-Newton method and the Newton method has been developed to simulate the steady-state flying conditions. The numerical results show the effectiveness and reliability of this new solver.

• 마이크로전자및패키징학회지
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• 제10권4호
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• pp.15-20
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• 2003

본 연구에서는 초고밀도 광디스크 시스템이나 하드 디스크 시스템의 헤드 슬라이더의 부상상태를 안정되고 효율적으로 예측하는 수치해석법을 다루고 있다. 뉴톤법과 유사 뉴톤법을 이용하여 정상적인 부상상태들을 예측하기 위해서 Dual Solver를 개발하였다. 수치해석 결과에 의하면, Dual Solver는 초고밀도 광디스크 시스템이나 하드 디스크 시스템용 슬라이더의 부상상태를 해석하는데 효과적이고 신뢰성있는 방법이 될 수 있다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제22권2호
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• pp.101-113
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• 2018

The dual singular function method(DSFM) is a numerical algorithm to get optimal solution including corner singularities for Poisson and Helmholtz equations. In this paper, we apply DSFM to solve heat equation which is a time dependent problem. Since the DSFM for heat equation is based on DSFM for Helmholtz equation, it also need to use Sherman-Morrison formula. This formula requires linear solver n + 1 times for elliptic problems on a domain including n reentrant corners. However, the DSFM for heat equation needs to pay only linear solver once per each time iteration to standard numerical method and perform optimal numerical accuracy for corner singularity problems. Because the Sherman-Morrison formula is rather complicated to apply computation, we introduce a simplified formula by reanalyzing the Sherman-Morrison method.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2006년도 추계 학술대회논문집
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• pp.31-35
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• 2006

The delta-formulation of the Navier-Stokes equations has been popularly used in the aerodynamics area. Implicit algorithm can be easily implemented in that by using Taylor series expansion. This formulation is extended for an unsteady analysis by using a dual-time integration. In the meanwhile, the incompressible flows with heat transfers which occur in the area of thermo-hydraulics have been solved by a segregated algorithm such as the SIMPLE method, where each equation is discretised by using an under-relaxed deferred correction method and solved sequentially. In this study, the dual-time delta formulation is implemented in the segregated Navier-Stokes solver which is based on the collocated cell-centerd scheme with un unstructured mesh FVM. The pressure correction equation is derived by the SIMPLE method. From this study, it was found that the Euler dual-time method in the delta formulation can be combined with the SIMPLE method.

• International Journal of Aeronautical and Space Sciences
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• 제9권2호
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• pp.79-86
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• 2008

High performance direct-iterative hybrid linear solver for large scale finite element problem is developed. Direct solution method is robust but difficult to parallelize, whereas iterative solution method is opposite for direct method. Therefore, combining two solution methods is desired to get both high performance parallel efficiency and numerical robustness for large scale structural analysis problems. Hybrid method mentioned in this paper is based on FETI-DP (Finite Element Tearing and Interconnecting-Dual Primal method) which has good parallel scalability and efficiency. It is suitable for fourth and second order finite element elliptic problems including structural analysis problems. We are using the hybrid concept of theses two solution method categories, combining the multifrontal solver into FETI-DP based iterative solver. Hybrid solver is implemented for our general structural analysis code, IPSAP.

• 대한산업공학회지
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• 제27권3호
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• pp.274-280
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• 2001

In this research, we develop a specialized primal-dual interior point solver for the multicommodity flow problems (MCFP). The Castro's approach that exploits the problem structure is investigated and several aspects that must be considered in the implementation are addressed. First, we show how preprocessing techniques for linear programming(LP) are adjusted for MCFP. Secondly, we develop a procedure that extracts a network structure from the general LP formulated MCFP. Finally, we consider how the special structure of the mutual capacity constraints is exploited. Results of comupational comparison between our solver and a general interior point solver are also included.

• 한국유체기계학회 논문집
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• 제11권3호
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• pp.7-13
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• 2008

The cavitating flow simulation is of practical importance for many engineering systems, such as pump, turbine, nozzle, Infector, etc. In the present work, a solver for two-phase flows has been developed and applied to simulate the cavitating flows past hydrofoils. The governing equation is the two-phase Navier-Stokes equation, comprised of the continuity equation of liquid and vapor phase. The momentum and energy equation is in the mixture phase. The solver employs an implicit, dual time, preconditioned algorithm using finite difference scheme in curvilinear coordinates. An experimental data and other numerical data were compared with the present results to validate the present solver. It is concluded that the present numerical code has successfully accounted for two-phase Navier-Stokes model of cavitation flow.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제23권2호
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• pp.115-138
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• 2019

The dual singular function method [DSFM] is a solver for corner sigulaity problem. We already construct DSFM in previous reserch to solve the Stokes equations including one singulairity at each reentrant corner, but we find out a crucial incorrection in the proof of well-posedness and regularity of dual singular function. The goal of this paper is to prove accuracy and well-posdness of DSFM for Stokes equations including two singulairities at each corner. We also introduce new applicable algorithms to slove multi-singulrarity problems in a complicated domain.

• 한국항공우주학회지
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• 제33권9호
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• pp.34-40
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• 2005

본 연구에서는 비정상 유동해석을 위한 CFD 코드의 개발을 위해 대각화 ADI 기법을 적용한 정상 해석기법과 내재적 이중시간 전진기법을 도입하였다. 정상상태 Navier-Stokes 방정식의 Jacobian 행렬은 비점성항에 대해서만 적용하였고 여기에 내재적 인공점성 연산자를 첨가하여 블록 5대각 행렬을 유도하였다. 시간단축을 위해 스칼라 5대각 행렬로 대체하였다. 가상시간에 대한 정상상태기법에 실시간에 대한 미분항이 포함된 새로운 잔류항을 정의하였다. 가상시간에 대해 수렴된 해로부터 실시간 해를 구하고 시간에 대해 적분을 수행하는 내재적 이중시간 전진기법을 이용한 비정상 Navier-Stokes 코드를 개발하였다. 이에 대한 검증으로 정지한 유체속에 진동하는 평판문제, 원기둥 후방의 주기적인 Karman 와류생성, 이중원호 익형주위의 충격파 진동문제등을 수치해석하여 이론치, 실험치, 타연구자의 계산결과와 비교, 분석하였다.

• 한국항공우주학회지
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• 제35권8호
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• pp.677-684
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• 2007

본 연구에서는 삼차원 점성 유동을 효율적으로 해석하기 위해 사면체, 프리즘, 피라미드를 포함하는 비정렬 혼합격자계를 기반으로 하는 유동해석코드를 개발하였다. 유동의 지배방정식은 격자점 중심의 유한체적법을 사용하여 공간차분회었으며, 제어테적은 메디안 듀얼(median-dual)방법으로 구성하였다. 난류유동 해석은 Spalart-Allmaras 난류모형과 연계하여 계산되었다. 개발된 해석코드의 정상 유동 검증을 위해 삼차원 날개에 대한 층류, 난류유동을 해석하였으며, 비정상 유동 검증을 위해 조화운동에 의해 진동하는 삼차원 날개에 대한 유동해석을 수행하였다.