• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 1995년도 가을 학술발표회 논문집
• /
• pp.153-160
• /
• 1995

Mixed finite element formulations for incompressible materials show pressure oscillations or pressure modes in four-node quadrilateral elements. The criterion for the stability in the pressure solution is the so-called Babufka-Brezzi stability condition, and the four-node elements based on mixed variational principles do not appear to satisfy this condition. In this study, a pressure continuity residual based on the pressure discontinuity at element edges is used to study the stabilization of pressure solutions in bilinear displacement-constant pressure four-node quadrilateral elements. It is shown that the pressure solutions, although stable, exhibit sensitivity to the stabilization parameters.

• Journal of applied mathematics & informatics
• /
• 제41권1호
• /
• pp.155-165
• /
• 2023

We consider circular Rayleigh problem of hydrodynamic stability which deals with linear stability of axial flows of an incompressible iniviscid homogeneous fluid to axisymmetric disturbances. For this problem, we obtained two parabolic instability regions which intersect with Batchelor and Gill semi-circle under some condition. This has been illustrated with examples. Also, we derived upper bound for the amplification factor.

• Journal of applied mathematics & informatics
• /
• 제41권2호
• /
• pp.363-372
• /
• 2023

We consider Kuo problem of hydrodynamic stability which deals with incompressible, inviscid, parallel shear flows in the 𝛽-plane. For this problem, we derived instability region without any approximations and which intersects with Howard semi-circle region under certain condition. Also, we derived upper bound for growth rate and amplification factor of an unstable mode and proved Howard's conjecture.

• Journal of applied mathematics & informatics
• /
• 제41권5호
• /
• pp.1071-1084
• /
• 2023

We consider inviscid, incompressible homogeneous shear flows of variable cross section known as extended Rayleigh problem. For this extended Rayleigh problem, we derived instability region which intersect with semi-circle instability region under some condition. Also we derived condition for stability, upper bound for amplification factor and growth rate of an unstable mode.

• Journal of applied mathematics & informatics
• /
• 제42권1호
• /
• pp.105-121
• /
• 2024

We consider incompressible, inviscid, stratified shear flows in β plane. First, we obtained an unbounded instability region intersect with semi-ellipse region. Second, we obtained a bounded instability regions depending on Coriolis, stratification parameters and basic velocity profile. Third, we obtained a criterion for wave stability. This has been illustrated with standard examples. Also, we obtained upper bound for growth rate.

• 한국전산구조공학회논문집
• /
• 제23권4호
• /
• pp.361-368
• /
• 2010

본 논문에서는 Park and Tak(2010)이 제안한 다공질매체 스태거드 방법의 효율성을 제고하기 위해 MPI(Message- Passing Interface) 라이브러리를 통한 병렬해석이 소개된다. 이를 위해 비압축, 비투과성 포화 다공질매체와 FEM을 통한 스태거드 방법이 간략히 소개된다. 그리고 병렬해석을 위한 MPI 라이브러리를 소개하고 스태거드 방법에 블록킹, 논블록킹 MPI 라이브러리를 접목시킨 병렬해석 알고리즘을 제안한다. 여기서는 변위와 간극수압 계산에서의 CPU 할당방법과 MPI 통신 규약을 통한 효율적인 프로그래밍 방법을 제시하고, 수치효율성을 검증하기 위한 2차원 모델의 순차해석과 병렬 해석 결과 값들을 요소개수에 따라 계산시간이 비교 검증된다.

• 한국소음진동공학회논문집
• /
• 제26권7호
• /
• pp.765-773
• /
• 2016

The vehicle interior noise caused by exterior fluid flow field is one of critical issues for product developers in a design stage. Especially, turbulence and vortex flow around A-pillar and side mirror affect vehicle interior noise through a side window. The reliable numerical prediction of the noise in a vehicle cabin due to exterior flow requires distinguishing between the aerodynamic (incompressible) and the acoustic (compressible) surface pressures as well as accurate computation of surface pressure due to this flow, since the transmission characteristics of incompressible and compressible pressure waves are quite different from each other. In this paper, effective signal processing technique is proposed to separate them. First, the exterior flow field is computed by applying computational aeroacoustics techniques based on the Lattice Boltzmann method. Then, the wavenumber-frequency analysis is performed for the time-space pressure signals in order to characterize pressure fluctuations on the surface of a vehicle side window. The wavenumber-frequency diagrams of the power spectral density shows clearly two distinct regions corresponding to the hydrodynamic and the acoustic components of the surface pressure fluctuations. Lastly, decomposition of surface pressure fluctuation into incompressible and compressible ones is successfully accomplished by taking the inverse Fourier transform on the wavenumber-frequency diagrams.

• 한국건축시공학회지
• /
• 제19권1호
• /
• pp.39-46
• /
• 2019

본 연구에서는 비압축성 Navier-Stokes 방정식을 적용한 ISPH 기법을 이용하여 3차원 유동 수치해석 모델을 개발하였다. 수치해석을 위해 MATLAB을 사용하여 ISPH 프로그램을 구현하였다. ISPH의 커널 함수로 piecewise cubic spline 함수를 사용하였다. 벽 경계조건으로 고정 가상 입자를 사용하였으며, 가상 밀도를 적용하여 자유 표면 경계 부근의 입자들을 결정하였다. 수치해석 모델과 코드의 정도를 확인하기 위해 $T_{500}$ 시험, 슬럼프 플로우 시험, L-box 시험의 수치해석 결과와 실험 결과를 비교하였다. 수치해석 결과 고유동 콘크리트의 점성계수 및 항복응력 변화에 따른 유동 현상의 특성을 잘 묘사하였으며, 기존의 실험값과 비교적 잘 일치함을 확인할 수 있었다.

• 대한조선학회논문집
• /
• 제58권6호
• /
• pp.400-406
• /
• 2021

The primary effect of the far-field underwater explosion (UNDEX) is the whipping of the ship hull girder. This paper aims to verify why inelastic effects should be considered in the whipping response estimations from the UNDEX simulations. A navy ship was modeled using Timoshenko beam elements over the ship length uniformly keeping the constant midship section modulus. The transient UNDEX pressure was produced using two types of the Geers-Hunter doubly-asymptotic models: compressible and incompressible fluids. Because the UNDEX model based on incompressible fluid assumption provided more increased fluid volume acceleration in the bubble phase, the incompressible fluid-based UNDEX model was adopted for the inelastic whipping response analyses. The non-linear hull girder bending moment-curvature curve was used to embed inelastic effects in the UNDEX analyses where the Smith method was applied to derive the non-linear stiffness. We assumed two stand-off distances to see more apparent inelastic effects: 40.5 m and 35.5 m. In the case of the 35.5 m stand-off distance, there was a statistically significant inelastic effect in terms of the average of peak moments and the average exceeding proportional limit moments. For the conservative design of a naval ship under UNDEX, it is recommended to use incompressible fluid. In the viewpoint of cost-effective naval ship design, the inelastic effects should be taken into account.

• 한국CDE학회논문집
• /
• 제1권1호
• /
• pp.56-64
• /
• 1996

A quadrilateral-triangular mixed grid method for the solution of incompressible viscous flow is presented. The solution domain near the body surface is meshed using elliptic grid geneator to acculately simulate the viscous flow. On the other hand, we used unstructured triangular grid system generated by advancing front technique of a simple automatic grid generation algorithm in the rest of the computational domain. The present method thus is capable of not only handling complex geometries but providing accurate solutions near body surface. The numerical technique adopted here is PISO type finite element method which was developed by the present author. Investigations have been made of two-dimensional unsteady flow of Re=550 past a circular cylinder. In the case of use of the unstructured grid only, there exists a considerable amount of difference with the existing results in drag coefficient and vorticity at the cylinder surface; this may be because of the lack of the grid clustering to the surface that is a inevitable requirement to resolve the viscous flow. However, numerical results on the mixed grid show good agreements with the earlier computations and experimental data.