• The Journal of the Acoustical Society of Korea
• /
• 제19권2E호
• /
• pp.14-19
• /
• 2000

The forward propagated ultrasonic fields resulting from a circular plane or a concave transducer in layered fluid media as well as in homogeneous water are theoretically estimated by the angular spectrum method(ASMJ) combined with Rayleigh-Sommerfeld diffraction theory(RSDT), and measured by a precision 3-D scanning system with a needle-point hydrophone. To make the aliasing error negligible on the 2-D FFT in the theoretical estimation, the spatial discretization in the ASM are carefully considered for optimal selection of spatial sampling intervals and the size of discretization area. It is shown that the estimated fields agree reasonably with the measured ones.

• Journal of applied mathematics & informatics
• /
• 제39권5_6호
• /
• pp.655-676
• /
• 2021

A parameter uniform numerical scheme is proposed for solving singularly perturbed parabolic partial differential-difference convection-diffusion equations with a small delay and advance parameters in reaction terms and spatial variable. Taylor's series expansion is applied to approximate problems with the delay and advance terms. The resulting singularly perturbed parabolic convection-diffusion equation is solved by utilizing the implicit Euler method for the temporal discretization and finite difference method for the spatial discretization on a uniform mesh. The proposed numerical scheme is shown to be an ε-uniformly convergent accurate of the first order in time and second-order in space directions. The efficiency of the scheme is proved by some numerical experiments and by comparing the results with other results. It has been found that the proposed numerical scheme gives a more accurate approximate solution than some available numerical methods in the literature.

• 소음진동
• /
• 제9권1호
• /
• pp.103-112
• /
• 1999

A new modeling and analysis technique for one-dimensional distributed parameter systems is presented. First. discretized equations of motion in Laplace domain are derived by applying discretization methods for partial differential equations of a one-dimensional structure with respect to spatial coordinate. Secondly. the z and inverse z transformations are applied to the discretized equations of motion for obtaining a dynamic matrix for a uniform element. Four different discretization methods are tested with an example. Finally, taking infinite on the number of step for a uniform element leads to an exact dynamic matrix for the uniform element. A generalized modal analysis procedure for eigenvalue analysis and modal expansion is also presented. The resulting element dynamic matrix is tested with a numerical example. Another application example is provided to demonstrate the applicability of the proposed method.

• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 2008년도 춘계학술대회논문집
• /
• pp.565-567
• /
• 2008

In the present study, a least square/level set based two-phase flow code has been developed using finite element discretization, which can be utilized for the analysis of a free surface flow problem in a complex geometry. Since the finite element method is employed for the spatial discretization of governing equations, an unstructured mesh can be naturally adopted for the level set simulation of a bubble-in-liquid flow without an additional load for the code development except that solution methods of the hyperbolic type redistancing and advection equations of the level set function should be devised in order to give a bounded solution on the unstructured mesh. For the discretization of hyperbolic type redistancing and advection equations, least square method is adopted. From the numerical experiments of the present study, it is shown that the proposed method is both robust and accurate.

• 대한수학회지
• /
• 제60권2호
• /
• pp.273-302
• /
• 2023

In this paper, a fully discrete numerical scheme for the viscoelastic Oldroyd flow is considered with an introduced auxiliary variable. Our scheme is based on the finite element approximation for the spatial discretization and the backward Euler scheme for the time discretization. The integral term is discretized by the right trapezoidal rule. Firstly, we present the corresponding equivalent form of the considered model, and show the relationship between the origin problem and its equivalent system in finite element discretization. Secondly, unconditional stability and optimal error estimates of fully discrete numerical solutions in various norms are established. Finally, some numerical results are provided to confirm the established theoretical analysis and show the performances of the considered numerical scheme.

• Nuclear Engineering and Technology
• /
• 제16권2호
• /
• pp.47-57
• /
• 1984

2상유동을 해석하기 위한 3차원 코드인 THERMIT-6S의 미분 방정식을 세우기 위해, 수학적으로 정확하게 유도된 시간과 공간에 대해 평균한 보존 방정식을 단순화했다. 미분 방정식을 불연속화(discretization)하여 THERMIT-6S의 차분방정식을 얻는다. First-order spatial scheme, donor cell method, 그리고, staggered mesh layout을 써서 공간에 대한 불연속화를 한다. 그리고 시간에 대한 불연속화는 first-order semi-implicit scheme으로써, sonic terms와 국부적인 전달 현상에 관계되는 항들은 implicit하게 그리고 대류 전달 항들은 explicit하게 취급한다. 이렇게 얻어진 방정식들은Newton-Raphson 방법으로 선형화된다. 축소된 압력 방정식을 만들기 위해 모든 변수들이 mesh cells사이에서 단지 압력 변수를 통해서만 결부되도록, 선형화된 방정식들을 처리한다. OPERA-15 실험을 수치해석적으로 모의실험하여 본 결과, THERMIT-6S가 flow coastdown, 역류, 유체진동(flow oscillation) 등을 포함하고, sodium boiling 후의 원자로내의 변화를 예측하는데 매우 유효하다는 것이 밝혀졌다.

• 한국항공우주학회지
• /
• 제45권3호
• /
• pp.233-240
• /
• 2017

본 연구에서는 전산유체역학의 특징에 대한 이해를 위해 천음속 날개-동체 주위의 유동장을 In-house 전산유체 코드로 해석하여 시험 결과와 비교하였다. 날개는 RAE 101 익형 단면을 가진 RAE Wing 'A'이며 동체는 축대칭 형상이다. In-house 코드는 비정렬 격자 기반의 압축성 Euler/Navier-Stokes 해석 코드이다. 격자에 대한 의존도, 난류 모형, 공간차분 기법, 점성/비점성의 영향을 시험 결과와 비교하여 살펴보았다. 난류 모형은 $k-{\omega}$ 모형, Spalart-Allmaras 모형, $k-{\omega}$ SST을 적용하였고, 공간차분 기법은 Jameson의 인공 점성를 도입한 중앙 차분 기법과 Roe의 풍상 차분 기법을 적용하였다. 대체적으로 시험 결과를 잘 예측하였으나, 압력분포 및 충격파의 위치가 난류 모형 및 공간 차분 기법에 따라 조금씩 다르게 예측되었으며, 정확한 충격파 위치를 예측하기 위해서는 난류 점성 효과가 고려되어야 함을 알 수 있다.

• Journal of electromagnetic engineering and science
• /
• 제8권3호
• /
• pp.100-109
• /
• 2008

The finite volume time domain(FVTD) technique faces serious limitations in simulating electromagnetic scattering at high frequencies due to requirements related to discretization. A modified FVTD method is proposed for electrically large, perfectly conducting scatterers by partially incorporating a time-domain physical optics(PO) approximation for the surface current. Dominant specular returns in the modified FVTD method are modeled using a PO approximation of the surface current allowing for a much coarser discretization at high electrical sizes compared to the original FVTD scheme. This coarse discretization can be based on the minimum surface resolution required for a satisfactory numerical evaluation of the PO integral for the scattered far-field. Non-uniform discretization and spatial accuracy can also be used in the context of the modified FVTD method. The modified FVTD method is aimed at simulating electromagnetic scattering from geometries containing long smooth illuminated sections with respect to the incident wave. The computational efficiency of the modified FVTD method for higher electrical sizes are shown by solving two-dimensional test cases involving electromagnetic scattering from a circular cylinder and a symmetric airfoil.

• Nuclear Engineering and Technology
• /
• 제52권11호
• /
• pp.2431-2441
• /
• 2020

Currently, the pin-by-pin homogenized solvers are a very active research field as they can, unlike the nodal codes, directly predict the local power, while requiring significantly less computational resources than the heterogeneous transport codes. This paper presents a recently developed pin-by-pin diffusion/SP3 solver Tortin, its spatial discretization method and the reflector treatment. Regarding the spatial discretization, it was observed that the finite difference method applied on pin-cell size mesh does not properly capture the big flux change between MOX and uranium fuel, while the nodal expansion method is more accurate but too slow. If the finite difference method is used with a finer mesh in the outer two pin rows of the fuel assembly, it increases the required computation time by only 50%, but decreases the pin power errors below 1% with respect to lattice code reference solutions. The paper further describes the coupling of Tortin with a microscopic depletion solver. Several verification tests show that the SP3 pin-by-pin solver can reproduce the heterogeneous transport solvers results with very good accuracy, even for fuel cycle depletion of very heterogeneous core employing MOX fuel or inserted control rods, while being two orders of magnitude faster.

• 한국지능시스템학회논문지
• /
• 제20권2호
• /
• pp.165-172
• /
• 2010

임상 데이터마이닝에서 최적의 특징 집합을 선택하는 것은 주어진 데이터로부터 생성된 모델의 복잡성을 줄일 뿐만 아니라 유용성을 향상시키는 데에 매우 중요하고, 선택된 특징들의 임계값은 질병의 감별진단을 위해 임상 전문가의 결정기준으로 사용된다. 본 논문에서는 데이터의 공간적인 분포, 즉 중첩영역에서 중복 속성값을 포함하는 데이터의 분리성 정도를 평가함으로써 연속형 속성을 가진 데이터에 대한 퍼지 이산화기법을 제안한다. 제안된 방법에서 중복 속성값의 가중치 평균값은 각 특징의 임계값(즉 경계값)을 결정하기 위해서 사용되었고, 러프집합은 전체 특징들 중에서 중요특징들의 집합을 선택하기 위해서 이용하였다. 제안된 방법의 타당성을 검증하기 위해 호흡곤란을 주호소로 내원한 668명의 환자 데이터를 근거로 3가지 이산화방법과 제안된 이산화방법에 대한 실험을 수행하였다. 실험결과, 퍼지분할을 기반으로 한 이산화방법이 하드분할을 기반으로 한 이산화방법에 비해서 평균 분류정확도와 G-mean 성능에서 보다 좋은 결과를 제공함을 확인하였다.