• 제목/요약/키워드: higher order solution

검색결과 1,044건 처리시간 0.027초

Higher-order Spectral Method for Regular and Irregular Wave Simulations

  • Oh, Seunghoon;Jung, Jae-Hwan;Cho, Seok-Kyu
    • 한국해양공학회지
    • /
    • 제34권6호
    • /
    • pp.406-418
    • /
    • 2020
  • In this study, a nonlinear wave simulation code is developed using a higher-order spectral (HOS) method. The HOS method is very efficient because it can determine the solution of the boundary value problem using fast Fourier transform (FFT) without matrix operation. Based on the HOS order, the vertical velocity of the free surface boundary was estimated and applied to the nonlinear free surface boundary condition. Time integration was carried out using the fourth order Runge-Kutta method, which is known to be stable for nonlinear free-surface problems. Numerical stability against the aliasing effect was guaranteed by using the zero-padding method. In addition to simulating the initial wave field distribution, a nonlinear adjusted region for wave generation and a damping region for wave absorption were introduced for wave generation simulation. To validate the developed simulation code, the adjusted simulation was carried out and its results were compared to the eighth order Stokes theory. Long-time simulations were carried out on the irregular wave field distribution, and nonlinear wave propagation characteristics were observed from the results of the simulations. Nonlinear adjusted and damping regions were introduced to implement a numerical wave tank that successfully generated nonlinear regular waves. According to the variation in the mean wave steepness, irregular wave simulations were carried out in the numerical wave tank. The simulation results indicated an increase in the nonlinear interaction between the wave components, which was numerically verified as the mean wave steepness. The results of this study demonstrate that the HOS method is an accurate and efficient method for predicting the nonlinear interaction between waves, which increases with wave steepness.

이온토포레시스를 이용한 levodopa의 경피전달: electroosmosis 및 electrorepulsion의 역할 (Levodopa Transport through Skin using Iontophoresis: the Role of Electroosmosis and Electrorepulsion)

  • 정신애;곽혜선;전인구;오승열
    • Journal of Pharmaceutical Investigation
    • /
    • 제38권1호
    • /
    • pp.31-38
    • /
    • 2008
  • The objective of this work is to study transdermal delivery of levodopa using iontophoresis and evaluate various factors which affect the transdermal transport. Levodopa is unstable in aqueous solution, and, in order to establish a stable condition for levodopa for the duration of experiment, we investigated the stability of levodopa in aqueous solutions of different pHs with/without the addition of dextrose or the application of current. Using stable aqueous solution, we have studied the effect of pH, polarity and penetration enhancer (ethanol) on transdermal flux and compared the results. We also investigated the iontophoretic flux from hydroxypropyl cellulose (HPC) hydrogel. In vitro flux study was performed at $33^{\circ}C$, using side-by-side diffusion cell. Full thickness hairless mouse skin and rat skin were used for this work. Current densities applied were 0.4 or $0.6mA/cm^2$ and current was off after 6 hour application. Stability study showed that levodopa solution with a pH 2.5 or 4.5 maintained the initial concentration of levodopa for 24 hours with the addition of 5% dextrose. However, at pH 9.5, levodopa was unstable and 30 to 40% of levodopa degraded within 24 hours, even with the addition of 5% dextrose. Hydrogel swollen with dextrose added levodopa solution maintained about 97% of the initial concentration of levodopa for 13 days, when stored in $4^{\circ}C$. The application of current did not affect the stability of levodopa in hydrogel. Flux study from levodopa solution with pH 2.5 showed that cathodal delivery of levodopa was higher than passive or anodal delivery. When the pH of the donor solution was 4.5, anodal delivery of levodopa was higher than passive or cathodal delivery. These results seem to indicate that electroosmosis plays more dominant role than electrorepulsion in the flux of levodopa at pH 2.5, and the reverse situation applies for pH 4.5. The passive flux was unexpectedly high for the ionized levodopa. Similar to the results from aqueous solution, cumulative amount of levodopa transported trom HPC hydrogel by cathodal delivery was significantly higher than passive or anodal delivery. The treatment of 70% ethanol cotton ball by scrubbing increased passive, anodal and cathodal flux, with the largest increase for anodal flux. These results indicate that iontophoretic delivery of zwitterion such as levodopa is much complicated than that can be expected from small ionic molecules with single charge. The results also indicate that the balance between electroosmosis and electrorepulsion plays a very important role in the transport through skin.

Analysis of composite plates using various plate theories -Part 1: Formulation and analytical solutions

  • Bose, P.;Reddy, J.N.
    • Structural Engineering and Mechanics
    • /
    • 제6권6호
    • /
    • pp.583-612
    • /
    • 1998
  • A unified third-order laminate plate theory that contains classical, first-order and third-order theories as special cases is presented. Analytical solutions using the Navier and L$\acute{e}$vy solution procedures are presented. The Navier solutions are limited to simply supported rectangular plates while the L$\acute{e}$vy solutions are restricted to rectangular plates with two parallel edges simply supported and other two edges having arbitrary combination of simply supported, clamped, and free boundary conditions. Numerical results of bending and vibration for a number of problems are discussed in the second part of the paper.

정밀 궤도 계산법 (METHOD OF HIGH PRECISION ORBIT CALCULATION)

  • 김갑성
    • 천문학논총
    • /
    • 제13권1호
    • /
    • pp.167-180
    • /
    • 1998
  • We have carried out high precision orbit calculation, by using various numerical techniques with accuracy of higher than fourth order, in order for exact prediction on position and velocity of celestial bodies and artificial satellites. General second order ordinary differential equation has been solved numerically to test the performance for each of numerical methods. We have compared computed values with exact solution obtained by using universal variables for two body problem and discussed overall results of numerical methods used in our calculation. As a result, it is found that high order difference table method called as Gauss-Jackson method is best one with easiness and efficiency in the increase of accuracy by number of initial values.

  • PDF

SUPERCONVERGENCE OF HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC EQUATIONS

  • MOON, MINAM;LIM, YANG HWAN
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제20권4호
    • /
    • pp.295-308
    • /
    • 2016
  • We propose a projection-based analysis of a new hybridizable discontinuous Gale-rkin method for second order elliptic equations. The method is more advantageous than the standard HDG method in a sense that the new method has higher-order accuracy and lower computational cost, and is more flexible. Notable distinctions of our new method, when compared to the standard HDG emthod, are that our method uses $L^2$-projection and suitable stabilization parameter depending on a mesh size for superconvergence. We show that the error for the solution of the equation converges with order p + 2 when we only use polynomials of degree p + 1 as a finite element space without postprocessing. After establishing the theory, we carry out numerical tests to demonstrate and ensure that the proposed method is effective and accurate in practice.

유도용액으로 혼합비료를 사용한 정삼투식 해수담수화에서 담수화 성능에 대한 유도용액 농도의 영향 (The Effect of Draw Solution Concentration on Forward Osmosis Desalination Performance Using Blended Fertilizer as Draw Solution)

  • 정남조;김승건;김동국;이호원
    • 멤브레인
    • /
    • 제23권5호
    • /
    • pp.343-351
    • /
    • 2013
  • 혼합 비료를 유도용액으로 하는 정삼투식 해수담수화에서 담수화 성능에 대한 유도용액 농도의 영향을 조사하였다. 혼합비료용액(DS)의 농도가 증가함에 따라 수투과선속은 거의 선형적으로 증가하였으나, PR (performance ratio)은 감소하였다. 또한 혼합비료용액의 농도가 600 g/L일 때, 해수 및 탈이온수를 각각 공급용액으로 하였을 경우 각각의 PR은 5.39 및 6.50이었다. 혼합비료용액의 농도가 증가함에 따라 N, P 및 K의 역용질선속은 거의 선형적으로 증가하였으나, 비역용질선속은 감소하였다. 역용질선속과 비역용질선속은 모두 질소(N) > 칼륨(K) > 인(P) 순으로 높게 나타났다.

수용액에서 Poly(N,N'-bispalmitoyl-1, 12-diaza-3, 4;9,10-dibenzo-5,8-cyclopentadecane)를 이용한 전이금속이온들의 흡착특성 (Adsorption Behaviors of Transition Metal Ions Using the Poly(N,N'-bispalmitoyl-1, 12-diaza-3, 4;9,10-dibenzo-5,8-cyclopentadecane) in Aqueous Solution)

  • 신영국;권수한;김해중
    • 분석과학
    • /
    • 제9권4호
    • /
    • pp.406-410
    • /
    • 1996
  • The adsorption behaviors of transition metal ions on the poly(N,N'-bispalmitoyl-1, 12-diaza-3, 4;9,10-dibenzo-5,8-cyclopentadecane) has been determined by adsorption process in aqueous solution. The order of concentration factor(CF) and the amount of adsorption were Cu(II)

  • PDF

염산과 NaCl 수용액에서 알루미늄의 부식에 미치는 아미노산의 부식억제효과 (Comparative Study of Corrosion Inhibition in Acidic and Neutral Chloride Media by Some Amino Acids)

  • 윤종화;김연규
    • 대한화학회지
    • /
    • 제62권5호
    • /
    • pp.364-371
    • /
    • 2018
  • 공기가 제거된 0.5 M HCl 과 0.5 M NaCl 용액에서 일어나는 알루미늄의 부식에 대하여 알라닌(Ala), 히스티딘(His) 과 메티오닌(Met)의 부식억제 효과를 조사하였다. HCl에 용해된 Ala, His, Met의 경우 모두 환원반응 속도가 감소되어 부식이 억제 되었으며, 부식억제 효율은 Met$10^{-4\;}M$ 보다 묽은 용액에서 Langmuir 흡착 등온식이 적용되었으나 $10^{-4\;}M$ 보다 진한 용액에서는 흡착된 분자 사이의 상호작용에 의하여 Temkin의 대수함수 등온식이 적용되었다.

소각비산재로 제조한 광촉매 흡착제의 벤젠과 톨루엔 제거특성 (Removal of Benzene and Toluene by Photo-catalyst Adsorbent Prepared from MSWI Fly Ash)

  • 최소영;심영숙;이우근
    • 한국대기환경학회지
    • /
    • 제21권4호
    • /
    • pp.431-438
    • /
    • 2005
  • In order to apply the photocatalytic decomposition of aromatic VOCs, adsorbent prepared from MSWI fly ash was coated by $TiO_2$ solution to endow with photo-catalytic function. The effects of coating number, existence of light source and the type of $TiO_2$ solution used for coating were examined. Adsorbent coated with amorphous $TiO_2$ solution showed higher adsorptivity than adsorbent coated with crystal $TiO_2$ solution. Without light source, breakthrough curve of photo -catalyst absorbent for VOCs removal was similar to that of absorbent made from MSWI fly ash. On the other hand, breakthrough time was enlarged with light source and total removal efficiency of benzene and toluene was also increased. It can be explained as photo-decomposition effect of $TiO_2$ photo-catalyst. Total removal efficiency of benzene and toluene was increased according to the increase of coating number with light source. It was due to the effect of adsorption and photo reaction of photo-catalytic adsorbent. But total removal efficiency of benzene was lower than that of toluene. Because benzene was removed more effectively than toluene by adsorption, but photo - decomposition effect oi toluene was more high than benzene.

Formation and Structure of Self-Assembled Monolayers of Octylthioacetates on Au(111) in Catalytic Tetrabutylammonium Cyanide Solution

  • Park, Tae-Sung;Kang, Hun-Gu;Choi, In-Chang;Chung, Hoe-Il;Ito, Eisuke;Hara, Masahiko;Noh, Jae-Geun
    • Bulletin of the Korean Chemical Society
    • /
    • 제30권2호
    • /
    • pp.441-444
    • /
    • 2009
  • The formation and structure of self-assembled monolayers (SAMs) by the adsorption of acetyl-protected octylthioacetate (OTA) on Au(111) in a catalytic tetrabutylammonium cyanide (TBACN) solution were examined by means of scanning tunneling microscopy (STM), X-ray photoelectron spectroscopy (XPS), and cyclic voltammetry (CV). Molecular-scale STM imaging revealed that OTA molecules on Au(111) in a pure solvent form disordered SAMs, whereas they form well-ordered SAMs showing a c(4 × 2) structure in a catalytic TBACN solution. XPS and CV measurements also revealed that OTA SAMs on Au(111) formed in a TBACN solution have a stronger chemisorbed peak in the S 2p region at 162 eV and a higher blocking effect compared to OTA SAMs formed in a pure solvent. In this study, we clearly demonstrate that TBACN can be used as an effective deprotecting reagent for obtaining well-ordered SAMs of thioacetyl-protected molecules on gold.