• Title/Summary/Keyword: Mass Conservation

Search Result 517, Processing Time 0.019 seconds

A SEMI-LAGRANGIAN METHOD BASED ON WENO INTERPOLATION

  • Yi, Dokkyun;Kim, Hyunsook
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.28 no.4
    • /
    • pp.623-633
    • /
    • 2015
  • In this paper, a general Weighted Essentially Non-Oscillatory (WENO) interpolation is proposed and applied to a semi-Lagrangian method. The proposed method is based on the conservation law, and characteristic curves are used to complete the semi-Lagrangian method. Therefore, the proposed method satisfies conservation of mass and is free of the CFL condition which is a necessary condition for convergence. Using a several standard examples, the proposed method is compared with the third order Strong Stability Preserving (SSP) Runge-Kutta method to verify the high-order accuracy.

ERROR ESTIMATES FOR A GALERKIN METHOD FOR A COUPLED NONLINEAR SCHRÖDINGER EQUATIONS

  • Omrani, Khaled;Rahmeni, Mohamed
    • Bulletin of the Korean Mathematical Society
    • /
    • v.57 no.1
    • /
    • pp.219-244
    • /
    • 2020
  • In this paper, we approximate the solution of the coupled nonlinear Schrödinger equations by using a fully discrete finite element scheme based on the standard Galerkin method in space and implicit midpoint discretization in time. The proposed scheme guarantees the conservation of the total mass and the energy. First, a priori error estimates for the fully discrete Galerkin method is derived. Second, the existence of the approximated solution is proved by virtue of the Brouwer fixed point theorem. Moreover, the uniqueness of the solution is shown. Finally, convergence orders of the fully discrete Crank-Nicolson scheme are discussed. The end of the paper is devoted to some numerical experiments.

Simulation of Spray Impingement and Fuel Film Formation in a Direct Injection Diesel Engine (직접분사식 디젤엔진에서의 분무충돌과 연료액막형성 해석)

  • Kim, Man-Shik;Min, Kyoung-Doug;Kang, Bo-Seon
    • Proceedings of the KSME Conference
    • /
    • 2000.04b
    • /
    • pp.919-924
    • /
    • 2000
  • Spray impingement model and fuel film formation model were developed and incorporated into the computational fluid dynamics code, STAR-CD. The spray/wall interaction process were modelled by considering the change of behaviour with surface temperature condition and fuel film formation. We divided behaviour of fuel droplets after impingement into stick, rebound and splash using Weber number and parameter K. Spray impingement model accounts for mass conservation, energy conservation and heat transfer to the impinging droplets. A fuel film formation model was developed by Integrating the continuity, the Navier-Stokes and the energy equations along the direction of fuel film thickness. The validation of the model was conducted using diesel spray experimental data and gasoline spray impingement experiment. In all cases, the prediction compared reasonably well with experimental results. Spray impingement model and fuel film formation model have been applied to a direct injection diesel engine combustion chamber.

  • PDF

Analysis of Hot Gas Flew Considering Arc-Flow Interaction (아크플라즈마와 유동간의 상호작용을 고려한 열가스 유동 해석)

  • Kim, Hong-Gyu;Park, Gyeong-Yeop;Bae, Chae-Yun;Jo, Gyeong-Yeon;Jeong, Hyeon-Gyo
    • The Transactions of the Korean Institute of Electrical Engineers B
    • /
    • v.51 no.3
    • /
    • pp.107-115
    • /
    • 2002
  • This parer presents the analysis of hot gas flow in puffer-type circuit breakers using FVFLIC method. For the analysis of arc-flow interaction, the flow field is analyzed from the equations of conservation for mass, momentum and energy with the assumption of local thermodynamic equilibrium state. The arc is represented as the energy source term composed of ohmic heating and radiation term in the energy conservation equation. Ohmic heating is computed by the electric field analysis only within the conducting plasma region. An approximate radiation transport model is employed for the evaluation of emission and absorption of the radiation. The analysis method was applied to the real circuit breaker model and simulation results such as pressure rise and arc voltage were compared with the experimental ones.

4-stroke 디젤엔진의 성능예측에 관한 연구

  • 오태식;오세종;양재신
    • Journal of the korean Society of Automotive Engineers
    • /
    • v.4 no.2
    • /
    • pp.58-68
    • /
    • 1982
  • It is well known to diesel engineers that the heat release pattern is one of the most important factors affecting engine performance. Thorough research in heat release pattern has materially helped the progress in high-speed diesel engine development . This paper is based on the research conducted at KAIST and Daewoo Heavy Industry last year. The purpose of this paper is to determine the heat release pattern in combustion chamber of MAN M type, the famous low-noise engine. Thermodynamic cycle simulation was performed using Whitehous-Way's heat release pattern with modified coefficients and Annand's heat transfer model. Instantaneous temperature and pressure of gas in cylinder could be determined by the numerical solution of simultaneous equation of mass conservation, equation of energy conservation, and state equation of ideal gas. Calculated results were compared with measured values in some details emphasizing upon the factors affecting rate of heat release. The agreement was fairly good and revealed why M type should have lower burning velocity at the early part of combustion in spite of high injection rate. Additional results by parametric studies were given in relation to fuel injection conditions for further application to engine development.

  • PDF

Development of the Dynamic Simulation Program for the Multi-Inverter Heat Pump Air-Conditioner (멀티 인버터 히트펌프의 동특성 해석 프로그램의 개발)

  • ;;小山繁
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.13 no.11
    • /
    • pp.1079-1088
    • /
    • 2001
  • A dynamic simulation model was developed to analyse the transient characteristics of a multi-inverter heat pump. The programs included a basic air conditioning system such as a evaporator, condenser, compressor, linear electronic expansion valve (LEV) and by-pass circuit. The theoretical model was derived from mass conservation and energy conservation equations to predict the performance of the multi-inverter heat pump at various operating conditions. Calculated results were compared with the values obtained from the experiments at different operation frequencies of compressor, area of the LEV and configuration of indoor units operation. The results of the simulation model showed a good agreement with the experimental ones, so that the model could be used as an efficient tool for thermodynamic design and control factor design of air-conditioners.

  • PDF

Studies on Sized Silks for East Asian Painting Background

  • Lee, Boyoung;Ryu, Hyo Seon
    • Journal of Conservation Science
    • /
    • v.35 no.1
    • /
    • pp.1-10
    • /
    • 2019
  • This study provides a comprehensive evaluation of general characteristics of sized silk fabrics for the painting purpose. Two particular types of silk fabrics used for painting background were compared: a recreation of historical material and a mass produced material of present day. The sizing process made the surface characteristics of the silk fabrics more suitable for painting. The dyeing properties of the fabrics were related to the surface area of the fabrics, and had no significant effect on their mechanical properties. The antibacterial activity of the tannin-based natural dyestuffs were maintained after the sizing. The performance assessment by the KES-FB system showed that the fabrics are more prone to deteriorate after the sizing because the glue layer receives the most of the physical stresses.

In vitro Organogenesis and Propagation of Heloniopsis orientalis Thunb

  • Jong-Woo Nam;Yoon-Kyung Choi;Kyeong-Mi Cho;Young-Been Kim;Sung Hwan Yim;Kee Hwa Bae
    • Journal of Forest and Environmental Science
    • /
    • v.39 no.3
    • /
    • pp.150-154
    • /
    • 2023
  • Heloniopsis orientalis (Liliaceae) is an important horticultural crop native to Korea. Under natural conditions, germination is poor and plant growth is delayed. Therefore, we have developed a vegetative propagation method to produce plants with vigorous growth characteristics via tissue culture. The regenerated shoots were then initiated directly from leaf explants on an MS medium containing either 0.5 to 2.0 mg/L 2,4-D or 1.0 to 3.0 mg/L BA. Healthy plantlets with adventitious roots were formed on the medium supplemented with 1.0 mg/L BA (81%). BA triggered callus initiation without caulogenesis or rhizogenesis, and callus formation was better on the half-strength MS medium than on the full-strength medium. This in vitro propagation protocol will be useful for conservation, as well as for mass propagation.

Conceptual Design and Demonstration of Space Scale for Measuring Mass in Microgravity Environment

  • Kim, Youn-Kyu;Lee, Joo-Hee;Choi, Gi-Hyuk;Choi, Ik-Hyeon
    • Journal of Astronomy and Space Sciences
    • /
    • v.32 no.4
    • /
    • pp.419-425
    • /
    • 2015
  • In this study, a new idea for developing a space scale for measuring mass in a microgravity environment was proposed by using the inertial force properties of an object to measure its mass. The space scale detected the momentum change of the specimen and reference masses by using a load-cell sensor as the force transducer based on Newton's laws of motion. In addition, the space scale calculated the specimen mass by comparing the inertial forces of the specimen and reference masses in the same acceleration field. By using this concept, a space scale with a capacity of 3 kg based on the law of momentum conservation was implemented and demonstrated under microgravity conditions onboard International Space Station (ISS) with an accuracy of ${\pm}1g$. By the performance analysis on the space scale, it was verified that an instrument with a compact size could be implemented and be quickly measured with a reasonable accuracy under microgravity conditions.

A Study of the Microstructure and Provenance Area of Bronze Spoons Excavated from the Ok-dong Site in Andong (안동 옥동유적 출토 청동시(靑銅匙)의 미세조직 및 산지연구)

  • Chung, Kwang-Yong;Lee, Joo-Hyun
    • Journal of Conservation Science
    • /
    • v.25 no.4
    • /
    • pp.411-420
    • /
    • 2009
  • A series of scientific analyses, including ICP-AES, microstructure, and TIMS, were carried out on 5 bronze spoons among 14 bronze artifacts excavated from the Ok-dong site in Andong, North Gyeongsang Province. The results of analysis showed that the bronze spoons were formed from an alloy of no more than 75% Cu and 21~23% Sn, placing it in the category of brassware, with trace elements such as Pb, Fe, and Zn. In particular, plumbum Pb contents of which traces of 0.04% were found, appears to have been added as an impurity during smelting. The microstructure of the bronze spoons suggests that the casting process involved using a spoon-shaped hollow mold, followed by an ropid-cooling process after the shape was perfected at approximately $586^{\circ}C$. After comparison of data measured from thermal ionization mass spectrometry (TIMS) of galena from Korea, China, and Japan, it appears that the raw materials for the bronze spoons included galena (lead sulfide) produced from the southern part of China.

  • PDF