• 한국정밀공학회지
• /
• 제15권5호
• /
• pp.120-127
• /
• 1998

Differential inequalities occurring in problems of obstacle contact problems are recast into variational inequalities and analyzed by finite element methods. A new a posteriori error estimator, which is essential in adaptive finite element method, is introduced to capture the errors in finite element approximations of these variational inequalities. In order to construct a posteriori error estimates, saddle point problems are introduced using Lagrange parameters and upper bounds are provided. The global upper bound is localized by a special mixed formulation, which leads to upper bounds of the element errors. A numerical experiment is performed on an obstacle contact problem to check the effectivity index both in a local and a global sense.

• 한국연소학회지
• /
• 제10권3호
• /
• pp.25-33
• /
• 2005

Fast-time instability is investigated for diffusion flames with Lewis numbers greater than unity by employing the numerical technique called the Evans function method. Since the time and length scales are those of the inner reactive-diffusive layer, the problem is equivalent to the instability problem for the $Li\tilde{n}\acute{a}n#s$ diffusion flame regime. The instability is primarily oscillatory, as seen from complex solution branches and can emerge prior to reaching the upper turning point of the S-curve, known as the $Li\tilde{n}\acute{a}n#s$ extinction condition. Depending on the Lewis number, the instability characteristics is found to be somewhat different. Below the critical Lewis number, $L_C$, the instability possesses primarily a pulsating nature in that the two real solution branches, existing for small wave numbers, merges at a finite wave number, at which a pair of complex conjugate solution branches bifurcate. For Lewis numbers greater than $L_C$, the solution branch for small reactant leakage is found to be purely complex with the maximum growth rate found at a finite wave number, thereby exhibiting a traveling nature. As the reactant leakage parameter is further increased, the instability characteristics turns into a pulsating type, similar to that for L < $L_C$.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 26-27 Oct. 1990
• /
• pp.852-857
• /
• 1990

The purpose of this paper is to design a robust controller for a class of time-varying systems with bounded disturbance described by the differential equation. The robust desiging method proposed in this paper, called "incentive design method" is different from developed designing methods in the past, and has following properties. The robust control law designed by this method can guarantee a certain value of the cost functional no matter how the disturbance vary within the given bounds. Here, the certain value of the cost functional may not be a saddle-point value, but is the value selected by a system designer. Therefore, the bounded disturbance has at least no bad effect on the value of the cost functional during finite interval of time. The method is based on the theory of incentive differential games. In addition, the form of control law is constructed by the system designer ahead of time. A numerical illustrative example is given in this paper. It is shown from this derivation and this numerical example that the approach developed in this paper is effective and feasible for some practical control problem.l problem.

• 유체기계공업학회:학술대회논문집
• /
• 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
• /
• pp.349-352
• /
• 2006

The conventional segregated finite element formulation produces a small and simple matrix at each step than in an integrated formulation. And the memory and cost requirements of computations are significantly reduced because the pressure equation for the mass conservation of the Navier-Stokes equations is constructed only once if the mesh is fixed. However, segregated finite element formulation solves Poisson equation of elliptic type so that it always needs a pressure boundary condition along a boundary even when physical information on pressure is not provided. On the other hand, the conventional integrated finite element formulation in which the governing equations are simultaneously treated has an advantage over a segregated formulation in the sense that it can give a more robust convergence behavior because all variables are implicitly combined. Further it needs a very small number of iterations to achieve convergence. However, the saddle-paint-type matrix (SPTM) in the integrated formulation is assembled and preconditioned every time step, so that it needs a large memory and computing time. Therefore, we newly proposed the P2PI semi-segregation formulation. In order to utilize the fact that the pressure equation is assembled and preconditioned only once in the segregated finite element formulation, a fixed symmetric SPTM has been obtained for the continuity constraint of the present semi-segregation finite element formulation. The momentum equation in the semi-segregation finite element formulation will be separated from the continuity equation so that the saddle-point-type matrix is assembled and preconditioned only once during the whole computation as long as the mesh does not change. For a comparison of the CPU time, accuracy and condition number between the two methods, they have been applied to the well-known benchmark problem. It is shown that the newly proposed semi-segregation finite element formulation performs better than the conventional integrated finite element formulation in terms of the computation time.

• Wind and Structures
• /
• 제22권3호
• /
• pp.349-368
• /
• 2016

A preconditioning technique is presented for a simultaneous solution to wind-membrane interaction. In the simultaneous equations, a linear elastic model was employed to deal with the fluid-structure data transfer at the interface. A Lagrange multiplier was introduced to impose the specified boundary conditions at the interface and strongly coupled simultaneous equations are derived after space and time discretization. An initial linear elastic model preconditioner and modified one were derived by treating the linearized elastic model equation as a saddle point problem, respectively. Accordingly, initial and modified fluid-structure interaction (FSI) preconditioner for the simultaneous equations were derived based on the initial and modified linear elastic model preconditioners, respectively. Wind-membrane interaction analysis by the proposed preconditioners, for two and three dimensional membranous structures respectively, was performed. Comparison was made between the performance of initial and modified preconditioners by comparing parameters such as iteration numbers, relative residuals and convergence in FSI computation. The results show that the proposed preconditioning technique greatly improves calculation accuracy and efficiency. The priority of the modified FSI preconditioner is verified. The proposed preconditioning technique provides an efficient solution procedure and paves the way for practical application of simultaneous solution for wind-structure interaction computation.

• 한국터널지하공간학회 논문집
• /
• 제19권4호
• /
• pp.669-683
• /
• 2017

본 연구의 목적은 지하 콘크리트 구조물에서 부분적으로 발생하는 누수를 처리하기 위하여 기존에 제안된 전단면 유도배수시스템을 수정하여 제안하는 것이다. 누수된 부분에만 유도배수시스템을 적용하기 위하여 누수된 지하수를 유도배수시스템내에서 집수 지점으로 유도하는 기술과 집수된 지하수를 지하 콘크리트 구조물의 배수 시설로 이동시키기 위한 기술을 추가 제안하였다. 유도배수시스템내로 누수된 지하수를 집수 지점으로 유도하기 위한 4가지 방수 재료들, 즉, 다공질의 고무 재료인 Durkflex, 초강력 접착력을 가진 KE-45 실리콘 접착제, 폴리머 계열 재료인 Hotty-gel 및 일반 실리콘 접착제에 대한 성능 평가를 수행하였다. 방수 재료 Hotty-gel만 완벽한 방수 성능을 보였고 나머지 3가지 방수 재료들에서는 누수가 발생하였다. 선정된 방수 재료 Hotty-gel과 집수 지점에서 배수시설로 누수된 지하수를 이동시키기 위한 배수관 및 고정 새들(saddle)을 추가한 유도배수시스템을 콘크리트 옹벽에서 시험 시공하였다. 재령 7일, 14일, 21일, 28일, 2개월, 및 3개월에 수정된 유도배수시스템 배면에 1,000 ml의 물을 주입하여 방수 성능과 유도배수 성능을 평가하였다. 재령 3개월까지 방수 성능 및 유도배수 성능에는 전혀 이상이 없는 것으로 확인되었다. 수정된 유도배수시스템의 총 공사 기간 및 공사비에 대한 평가를 위하여 표면 정리 단계, 누수 처리 단계 및 단면 복구 단계별로 기존 누수 보수 공법과 비교하였다. 작업 내용, 보수 재료, 시공 장비, 작업 시간, 작업 인원 등을 고려한 개략적인 총 공사 시간 및 공사비에 대하여 비교하였다. 각 시공 단계별로 비교 분석한 결과 수정된 유도배수시스템은 기존의 누수 처리 공법보다 총 공사 기간 및 공사비를 절감할 수 있을 것으로 판단되었다.