• Korean Journal of Mathematics
• /
• 제31권4호
• /
• pp.419-431
• /
• 2023

In this paper, we propose an iterative method for a symmetric interior penalty Galerkin method for heterogeneous elliptic problems. The iterative method consists mainly of two parts based on a non-overlapping domain decomposition approach. One is an intermediate preconditioner constructed by understanding the properties of the discontinuous finite element functions and the other is a preconditioning related to the dual-primal finite element tearing and interconnecting (FETI-DP) methodology. Numerical results for the proposed method are presented, which demonstrate the performance of the iterative method in terms of various parameters associated with the elliptic model problem, the finite element discretization, and non-overlapping subdomain decomposition.

• 한국해안해양공학회지
• /
• 제19권6호
• /
• pp.557-564
• /
• 2007

타원형 수중천퇴가 있는 지형을 통과하며 변형하는 파랑을 실험한 Vincent and Briggs(1989)의 실험조건을 수치모의하여 규칙파 변형에 대한 파랑과 흐름의 상호작용 효과를 연구하였다. 수치모의를 위해 흐름모형 SHORECIRC와 파랑모형 REF/DIF 1 그리고 SHORECIRC와 파랑모형 SWAN을 결합한 모형과 파랑과 흐름을 동시에 계산하는 FUNWAVE를 이용하였다. 이 수치모의로 부터 수중천퇴상에서 발생된 쇄파류는 수중천퇴후면의 파집중현상을 방해하고, 파랑을 천퇴중심축의 바깥쪽으로 굴절시켜, 파고를 상대적으로 감소시키는 역할을 하는 것을 확인할 수 있었다. 두 결합모형의 수치모의 결과는 쇄파류의 영향을 고려하지 않는 파랑모형만의 결과보다 실험치와 일치하였으나, 중복파가 발생되는 경우 SWAN모형과 REF/DIF모형으로부터 계산되어지는 잉여응력(radiation stress)에 문제가 있다는 것을 알 수 있었다. 또한, FUNWAVE를 이용한 수치모의는 실험결과와 완벽히 일치하였다. 이는 파랑쇄파류의 파랑변형에 미치는 역할의 중요성을 확인시켜주는 것이다.

• 대한기계학회논문집
• /
• 제14권2호
• /
• pp.470-483
• /
• 1990

Turbulent jet in a crossflow, issuing from a row of holes on a convex surface of 90 .deg. bend duct, is predicted by a 3-dimensional numerical method. The Cartesian coordinate system in adopted in upstream and downstream tangents and the cylindrical polar coordinate system in curved region. The Reynolds stresses and heat fluxes are obtained from a standard k-e model in the core region and van Driest model in the vicinity of the wall. The governing equations are discretized by a finite volume method and solutions are obtained by a locally elliptic calculation procedure. Pressure and convective terms are treated by SIMPLE algorithm and hybrid scheme respectively. A vortex initially induced by the injected jet has been built up due to the interaction with the secondary flow caused by pressure gradient and centrifugal force. The vortex structure has a strong influence on the wall cooling effectiveness. Another vortex like horseshoe is formed in the vicinity of the injection hole and its strength is getting weak as it moves downward.

• Journal of Welding and Joining
• /
• 제10권2호
• /
• pp.19-31
• /
• 1992

A numerical study was performed to investigate the flow field and the heat transfer characteristics occurring in high power density welding which is important in many fields of engineering applications. A two dimensional quasi-steady state of keyhole welding model is simulated by using the finite volume methods. It is shown that the shape of isothermal line is elliptic and the temperature gradient is very steep compared with other welding method and the welding speed has on welding width and observed beam power.

• 대한의용생체공학회:의공학회지
• /
• 제13권2호
• /
• pp.97-106
• /
• 1992

The cardiac activation process uslng three dimensional ventricular model is simulated. To study this theme, we constructed a cardiac ventricular model and simulated the cardiac activation process using the action potential duration and the activation time. The cardiac ventricular model is generated by the loglcal combination of the elliptic equations. The action potential duration could be obtained from the fact that It Is linearly distributed between model cells. The cardiac activation process was simulated by the law of "all-or-none". Based on the activation time and the action potential duration the cardiac potential at the arbitrary time after the activation of the model cell was computed. To test the validity of model, the comparison of the results of model simulation with the physiological data was performed. In conclusion, this model shows the simular results which is comparable to the 1 Pal conduction of the cardlac excitation.xcitation.

• 대한의용생체공학회:학술대회논문집
• /
• 대한의용생체공학회 1992년도 추계학술대회
• /
• pp.146-149
• /
• 1992

The cardiac depolarization model using three dimensional ventricular model is simulated. To study this theme, we constructed a cardiac ventricular model and simulated the cardiac activation process using the action potential duration and the activation time. The cardiac potential model is generated by the logical combination of the elliptic equations. The action potential duration could be obtained from the fact that it is linearly distributed between model cells. The cardiac activation process was simulated by the law of "all-or-none". Based on the activation time and the action potential duration the cardiac potential at the arbitrary time after the activation of the model cell was computed. To test the validity of model, the comparison the results of model simulation with the physiological data was performed.

• 대한토목학회논문집
• /
• 제14권3호
• /
• pp.619-633
• /
• 1994

천해역(淺海域)에서 굴절(屈折), 회절(回折) 및 쇄파(碎波)를 고려한 범용성(汎用性)있는 파랑변형모형(波浪變形模型)을 개발하였다. 기존(旣存)이 완경사방정식(緩傾斜方程式)으로부터 고차(高次)의 회절항(回折項)을 고려한 포물형근사방정식(抛物形近似方程式)을 유도하였으며, 난류모형(亂流模型)을 도입하여 저면마찰(底面摩擦) 및 쇄파(碎波)에 의한 에너지 감쇠항(減衰項)을 정식화(定式化)하였다. 본 모형(模型)의 수치해(數値解)는 Crank-Nicolson의 음해법(陰解法)으로 계산하였으며, 계산결과(計算結果)는 원형천퇴(圓形淺堆), 타원형천퇴(楕圓形淺堆) 및 쇄파대(碎波帶)에서의 여러가지 수리실험결과(水理實驗結果)와 비교하였다. 쇄파대(碎波帶)에서 파고감쇠양상(波高減衰樣相)은 입사파(入射波)의 파형경사(波形傾斜)에 따라 민감(敏感)하게 반응(反應)하였으며, 타원형천퇴(楕圓形淺堆) 주변(周邊)에서 비선형분산관계(非線型分散關係)와 에너지 감쇠효과(減衰效果)는 파고변화(波高變化)를 잘 설명하였다. 그리고 본 모형(模型)을 현지해안(現地海岸)에 적용하여 타당성(妥當性)있는 계산결과(計算結果)를 얻었다.

• Korean Journal of Hydrosciences
• /
• 제3권
• /
• pp.61-79
• /
• 1992

In oder to predict the dispersion of a thermal discharge with strong turbulent and buoyant effects, the development of a numerical model using turbulence model and its application are significantly increased. In this study, a three-dimensional steady-state model for the surface discharge heated water into quiescent water body is developed. For the model closure of turbulent terms the four-equation turbulence model is used. For economic mumerical simulation, the elliptic governing equations are transformed to the partially parabolic equations. In general, the simulated results by the present model agree well with the experimental results by Pande and Rajratnam (1977). The model characteristics are presented in comparison with the predicted results from the two-eqauation turbulence model by McGuirk and Rodi (1979).

• 대한의용생체공학회:의공학회지
• /
• 제6권1호
• /
• pp.55-64
• /
• 1985

The cardiac activation process using three dimensional ventricular model is simulated.To study this theme, we constructed a cardiac ventricular model and simulated the cardiac activation process using the action potential duration and the activation time. The cardiac ventricular model is generated by the logical combination of the elliptic equations. The action potential duration could be obtained from the fact that it is linearly distributed between model cells. The cardiac activation process was simulated by the law of "all-or-none" Based on the activation time and the action potential do-ration the cardiac potential at the arbitrary time after the activation of the model cell was computed. To test the validity of model, the comparison of the results of model simulation with the physiological data was performed. In conclusion, this model shows the simular results which is comparable to the real conduction of the cardiac excitation.xcitation.

• Journal of Mechanical Science and Technology
• /
• 제16권11호
• /
• pp.1522-1539
• /
• 2002

In the present study, an explicit algebraic stress model is shown to be the exact tensor representation of algebraic stress model by directly solving a set of algebraic equations without resort to tensor representation theory. This repeals the constraints on the Reynolds stress, which are based on the principle of material frame indifference and positive semi-definiteness. An a priori test of the explicit algebraic stress model is carried out by using the DNS database for a fully developed channel flow at Rer = 135. It is confirmed that two-point correlation function between the velocity fluctuation and the Laplacians of the pressure-gradient i s anisotropic and asymmetric in the wall-normal direction. Thus, a novel composite algebraic Reynolds stress model is proposed and applied to the channel flow calculation, which incorporates non-local effect in the algebraic framework to predict near-wall behavior correctly.