• 제목/요약/키워드: Finite Volume

검색결과 1,930건 처리시간 0.032초

SOME RESULTS RELATED WITH POISSON-SZEGÖKERNEL AND BEREZIN TRANSFORM

  • Yang, Gye Tak;Choi, Ki Seong
    • 충청수학회지
    • /
    • 제24권3호
    • /
    • pp.417-426
    • /
    • 2011
  • Let ${\mu}$ be a finite positive Borel measure on the unit ball $B{\subset}{\mathbb{C}}^n$ and ${\nu}$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, ${\sigma}$ is the rotation-invariant measure on S such that ${\sigma}(S) =1$. Let ${\mathcal{P}}[f]$ be the Poisson-$Szeg{\ddot{o}}$ integral of f and $\tilde{\mu}$ be the Berezin transform of ${\mu}$. In this paper, we show that if there is a constant M > 0 such that ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}M{\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\nu}(z)$ for all $f{\in}L^p(\sigma)$, then ${\parallel}{\tilde{\mu}}{\parallel}_{\infty}{\equiv}{\sup}_{z{\in}B}{\mid}{\tilde{\mu}}(z){\mid}<{\infty}$, and we show that if ${\parallel}{\tilde{\mu}{\parallel}_{\infty}<{\infty}$, then ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}C{\mid}{\mid}{\tilde{\mu}}{\mid}{\mid}_{\infty}{\int_S}{\mid}f(\zeta){\mid}^pd{\sigma}(\zeta)$ for some constant C.

공기윤활에 의한 액화천연가스운반선의 마찰저항저감 평가 및 공기 분사부 배치에 대한 연구 (Study on the Evaluation of Frictional Drag Reduction by Air Lubrication and the Arrangement of Air Injection Parts for a Liquefied Natural Gas Carrier)

  • 김희택;김형태;김현조;김정중
    • 대한조선학회논문집
    • /
    • 제58권3호
    • /
    • pp.144-157
    • /
    • 2021
  • Brake Horse Power (BHP) reduction ratios by air injection to the underside of the hull surface in an actual ship are predicted using an unstructured finite-volume CFD solver and compared with the sea trial results. In addition, air lubrication system installed on the existing vessel is investigated to find a good solution for additional drag reduction. As a results, it is found that the thickness of the air layer should be minimized within a stable range while securing the area covered by the air layer as much as possible. Furthermore, the amount of frictional drag reduced by air injection is found to be independent of surface roughness and still effective on rough surface. Based on the results of this study, it is expected that systematic and reliable air lubrication system can be designed and evaluated using the proposed method.

고속전철 객실의 공기 분배 및 기류에 관한 수치해석적 연구 (A Numerical Study on Air Distribution and Flow in the Passenger Cabin of a High-Speed Electric Train)

  • 명현국;유경훈;황정호
    • 한국입자에어로졸학회지
    • /
    • 제15권1호
    • /
    • pp.27-36
    • /
    • 2019
  • Numerical analysis has been conducted on three-dimensional airflow distribution in the passenger cabin of a high-speed electric train. The types of air distribution systems investigated in the present study were those of TGV and Shinkansen. The Reynolds-averaged Navier-Stokes equations governing the mass and momentum conservations of the airflow in the cabin were solved by using a finite volume method, which are coupled with the standard $k-{\varepsilon}$ turbulence model equations. Predicted velocity distributions were presented on several selected planes in the passenger cabin. The present three-dimensional simulations were found to show the overall features of the airflow in the passenger cabin fairly well. In particular, it was shown that the type of air distribution for Shinkansen was more suitable for a non-smoking cabin than that for TGV.

Nanofluid flow and heat transfer from heated square cylinder in the presence of upstream rectangular cylinder under Couette-Poiseuille flow

  • Sharma, Swati;Maiti, Dilip K.;Alam, Md. Mahbub;Sharma, Bhupendra K.
    • Wind and Structures
    • /
    • 제29권1호
    • /
    • pp.65-75
    • /
    • 2019
  • A heated square cylinder (with height $A^*$) is kept parallel to the cold wall at a fixed gap height $0.5A^*$ from the wall. Another adiabatic rectangular cylinder (of same height $A^*$ and width $0.5A^*$) is placed upstream in an inline tandem arrangement. The spacing between the two cylinders is fixed at $3.0A^*$. The inlet flow is taken as Couette-Poiseuille flow based non-linear velocity profile. The conventional fluid (also known as base fluid) is chosen as water (W) whereas the nanoparticle material is selected as $Al_2O_3$. Numerical simulations are performed by using SIMPLE algorithm based Finite Volume approach with staggered grid arrangement. The dependencies of hydrodynamic and heat transfer characteristics of the cylinder on non-dimensional parameters governing the nanofluids and the fluid flow are explored here. A critical discussion is made on the mechanism of improvement/reduction (due to the presence of the upstream cylinder) of heat transfer and drag coefficient, in comparison to those of an isolated cylinder. It is observed that the heat transfer increases with the increase in the non-linearity in the incident velocity profile at the inlet. For the present range studied, particle concentration has a negligible effect on heat transfer.

Hydro-mechanical interaction of reinforced concrete lining in hydraulic pressure tunnel

  • Wu, He-Gao;Zhou, Li;Su, Kai;Zhou, Ya-Feng;Wen, Xi-Yu
    • Structural Engineering and Mechanics
    • /
    • 제71권6호
    • /
    • pp.699-712
    • /
    • 2019
  • The reinforced concrete lining of hydraulic pressure tunnels tends to crack under high inner water pressure (IWP), which results in the inner water exosmosis along cracks and involves typical hydro-mechanical interaction. This study aims at the development, validation and application of an indirect-coupled method to simulate the lining cracking process. Based on the concrete damage plasticity (CDP) model, the utility routine GETVRM and the user subroutine USDFLD in the finite element code ABAQUS is employed to calculate and adjust the secondary hydraulic conductivity according to the material damage and the plastic volume strain. The friction-contact method (FCM) is introduced to track the lining-rock interface behavior. Compared with the traditional node-shared method (NSM) model, the FCM model is more feasible to simulate the lining cracking process. The number of cracks and the reinforcement stress can be significantly reduced, which matches well with the observed results in engineering practices. Moreover, the damage evolution of reinforced concrete lining can be effectively slowed down. This numerical method provides an insight into the cracking process of reinforced concrete lining in hydraulic pressure tunnels.

Buckling behavior of functionally graded porous plates integrated with laminated composite faces sheets

  • Xu, Kuo;Yuan, Yuan;Li, Mingyang
    • Steel and Composite Structures
    • /
    • 제32권5호
    • /
    • pp.633-642
    • /
    • 2019
  • In this work, lightweight sandwich plates consisting of a functionally graded porous (FGP) core and two laminated composite face sheets resting on elastic foundation have been proposed. Three different profiles are considered for the distributions of porosities along core thickness. The main aim of this paper is the investigation of the buckling behavior of the proposed porous sandwich plates (PSPs) by reporting their critical mechanical loads and their corresponding mode shapes. A finite element method (FEM) based on first order shear deformation theories (FSDT) is developed to discretize governing equations for the buckling behavior of the proposed sandwich plates. The effects of porosity dispersion and volume, the numbers and angles of laminated layers, sandwich plate geometrical dimensions, elastic foundation coefficients, loading and boundary conditions are studied. The results show that the use of FGP core can offer a PSP with half weight core and only 5% reduction in critical buckling loads. Moreover, stacking sequences with only ${\pm}45$ orientation fibers offer the highest values of buckling loads.

Motion Behavior of Platform Supply Vessels Running Under Regular Wave Conditions in RANS Model

  • Park, Huiseung;Jang, Hoyun;Ahn, Namhyun;Yoon, Hyunsik
    • 해양환경안전학회지
    • /
    • 제25권3호
    • /
    • pp.366-372
    • /
    • 2019
  • This study performed a numerical analysis of a 3D unsteady viscous flow in order to investigate ship motion responses running through regular waves of the platform supply vessel. The feasibility of numerical analysis was tested under the three regular wave conditions of the KRISO container ship (KCS) suggested at the 2010 Gothenburg CFD Workshop. The resulting resistance coefficient, heave motion, and pitch angle were compared with the model test of the harmonic analysis. Also, the ship motion response characteristics of the platform supply vessel were performed using the proven method of the KRISO container ship (KCS). The ship motions including the resistance coefficient, heave motion, and pitch angle according to the time series were investigated via harmonic analysis under regular waves condition of ${\lambda}/LPP=1.87$ and $H_S=0.078m$.

초음속 내부유동에서 다수의 충격파 구조에 대한 연구 (Study on Multiple Shock Wave Structures in Supersonic Internal Flow)

  • ;김희동
    • 한국추진공학회지
    • /
    • 제24권3호
    • /
    • pp.31-40
    • /
    • 2020
  • 다수의 충격파에 대한 구조와 거동특성은 노즐 출구 마하수가 1.75인 모델에 대하여 유한체적기법을 사용하여 수치해석적으로 조사하였다. 먼저 이미지를 기반으로 한 충격파 진동특성을 Matlab 프로그램을 사용하여 분석한 후 특정 위치에서 벽면 정압변화를 분석하였다. 또한 다수 충격파들의 진폭 및 주파수도 조사하였다. 충격파 위치들 사이의 상호상관은 첫번째 충격파와 두번째 충격파는 서로 관련이 있는 반면에 다른 충격파들은 진동특성에서 위상 지연을 나타내었다. 벽면 압력변동의 RMS값은 충격파 위치에서 최대이며 유동의 다른 부분에서는 낮은 OS 표준편차값을 나타내었다.

Structural behavior of concrete walls reinforced with ferrocement laminates

  • Shaheen, Yousry B.I.;Refat, Hala M.;Mahmoud, Ashraf M.
    • Structural Engineering and Mechanics
    • /
    • 제78권4호
    • /
    • pp.455-471
    • /
    • 2021
  • The present work focuses on experimental and numerical performance of the ferrocement RC walls reinforced with welded steel mesh, expanded steel mesh, fiber glass mesh and tensar mesh individually. The experimental program comprised twelve RC walls having the dimensions of 450 mm×100 mm×1000 mm under concentric compression loadings. The studied variables are the type of reinforcing materials, the number of mesh layers and volume fraction of reinforcement. The main aim is to assess the influence of engaging the new inventive materials in reinforcing the composite RC walls. Non-linear finite element analysis; (NLFEA) was carried out to simulate the behavior of the composite walls employing ANSYS-10.0 Software. Parametric study is also demonstrated to check out the variables that can mainly influence the mechanical behavior of the model such as the change of wall dimensions. The obtained numerical results indicated the acceptable accuracy of FE simulations in the estimation of experimental values. In addition, the strength gained of specimens reinforced with welded steel mesh was higher by amount 40% compared with those reinforced with expanded steel mesh. Ferrocement specimens tested under axial compression loadings exhibit superior ultimate loads and energy absorbing capacity compared to the conventional reinforced concrete one.

Micro-CT image-based reconstruction algorithm for multiscale modeling of Sheet Molding Compound (SMC) composites with experimental validation

  • Lim, Hyoung Jun;Choi, Hoil;Yoon, Sang-Jae;Lim, Sang Won;Choi, Chi-Hoon;Yun, Gun Jin
    • Composite Materials and Engineering
    • /
    • 제3권3호
    • /
    • pp.221-239
    • /
    • 2021
  • This paper presents a multiscale modeling method for sheet molding compound (SMC) composites through a novel bundle packing reconstruction algorithm based on a micro-CT (Computed Tomography) image processing. Due to the complex flow pattern during the compression molding process, the SMC composites show a spatially varying orientation and overlapping of fiber bundles. Therefore, significant inhomogeneity and anisotropy are commonly observed and pose a tremendous challenge to predicting SMC composites' properties. For high-fidelity modeling of the SMC composites, the statistical distributions for the fiber orientation and local volume fraction are characterized from micro-CT images of real SMC composites. After that, a novel bundle packing reconstruction algorithm for a high-fidelity SMC model is proposed by considering the statistical distributions. A method for evaluating specimen level's strength and stiffness is also proposed from a set of high-fidelity SMC models. Finally, the proposed multiscale modeling methodology is experimentally validated through a tensile test.