• Title/Summary/Keyword: Euler Eq.

Search Result 3, Processing Time 0.017 seconds

Numerical Simulations of Nonlinear Waves Generated by Submerged Bodies (잠수물체에 의하여 발생되는 비선형파의 수치 시뮬레이션)

  • Kang Kuk-Jin
    • Journal of computational fluids engineering
    • /
    • v.2 no.1
    • /
    • pp.13-20
    • /
    • 1997
  • A fundamental study for the numerical scheme to simulate unsteady nonlinear waves by solving Euler equations is presented. First a conservation form and a non-conservation form of the Euler equations with a free surface fitted coordinate system are compared. Next, a time splitting fractional step method and an alternating direction implicit(ADI) method for the time integration are compared. For the comparative study, flow calculations around a bottom bump in a channel and a NACA 0012 hydrofoil in a flume are performed. The results show that the ADI method with a third order upwind differencing scheme is very efficient in reducing the computing time with keeping the accuracy, And, there is no distinct difference between two expression forms except that the non-conservative form shows faster wave propagating velocity than the conservation form. Some results are compared with experiments and show good agreement.

  • PDF

A Comparison of Design Strength Equations between Steel and Fiber Reinforced Polymer Composites Columns (철골 및 섬유보강 폴리머(FRP) 복합 기둥의 설계강도식에 관한 비교 연구)

  • Choi, Yeol;Pyeon, Hae-Wan
    • Journal of Korean Association for Spatial Structures
    • /
    • v.3 no.3 s.9
    • /
    • pp.85-93
    • /
    • 2003
  • Steel, concrete and their combination materials are the most 6commonly used materials for civil engineering structural systems such as buildings, bridge structures and other structures. Recently, however, fiber reinforced polymer (FRP) composites, a relatively new composite material made of fibers and polymer resins, have been gradually used in structural systems as an alternative structural material. This paper describes a comparison of design strength equations for steel column and FRP composite column based on design philosophies. The safety factors used in allowable stress design (ASD) are relatively higher in FRP structural design than steel structural design. Column critical stress equations of FRP composites column from an experimental study can be represented by Euler elastic buckling equation at the long-range of slenderness, and an exponential form at the short-range of slenderness as defined in Load and Resistance Factor Design (LRFD) of steel column. The column strength of steel and FRP composite columns in large slenderness is independent of material strength, this result verified the elastic buckling equation as derived by Eq. (15) and Eq. (5).

  • PDF

A Numerical Simulation of Ship Waves by Finite Difference Method (유한차분법에 의한 임의 선체주위의 조파 Simulation)

  • Kyu-Jong Cho;Kang-Hoon Lee;Young-Gill Lee
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.28 no.2
    • /
    • pp.77-94
    • /
    • 1991
  • A finite difference method based on MAC method is used to simulate free-surface waves around a ship. Euler equations and continuity equation are differentiated using the forward time and central space, and solved by time marching scheme. By the employment of variable mesh system in horizontal and vertical direction, the numerical accuracy of wave simulation results is grossly improved. To verify the improvement of numerical accuracy, some numerical simulations are accomplished for Wigley, Series 60($C_{b}$=0.6) and a bulk carrier model. The computational results are compared to the various experimental data and show good agreements.

  • PDF