• Title/Summary/Keyword: smoothed kernel

Search Result 30, Processing Time 0.033 seconds

A method for incompressible free surface flow including surface tension using CSF model (CSF 모델을 이용한 자유표면 유동 해석)

  • Hong I. C.;Baek J. H.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2004.10a
    • /
    • pp.15-18
    • /
    • 2004
  • A numerical method for simulating two-phase flows including surface force is presented. The method is based on fractional step method of finite volume formulation and the interface is tracked with PLIC VOF method. In the CSF model, as color function, f, representing the location of interface varies steeply in the interface region, we need to use smoothed function f to get accurate unit normal and the curvature. Peskin kernel is used to get smoothed function f. A spherical drop in static equilibrium and three-dimensional merging of gas bubble are tested, resulting in the validation of this method

  • PDF

Analysis of Hagen-Poiseuille Flow Using SPH

  • Min, Oakkey;Moon, Wonjoo;You, Sukbeom
    • Journal of Mechanical Science and Technology
    • /
    • v.16 no.3
    • /
    • pp.395-402
    • /
    • 2002
  • This paper shows how to formulate the transient analysis of 2-dimensional Hagen-Poiseuille flow using smoothed particle hydrodynamics (SPH). Treatments of viscosity, particle approximation and boundary conditions are explained. Numerical tests are calculated to examine effects caused by the number of particles, the number of particles per smoothing length, artificial viscosity and time increments for 2-dimensional Hagen-Poiseuille flow. Artificial viscosity for reducing the numerical instability directly affects the velocity of the flow, though effects of the other parameters do not produce as much effect as artificial viscosity. Numerical solutions using SPH show close agreement with the exact ones for the model flow, but SPH parameter must be chosen carefully Numerical solutions indicate that SPH is also an effective method for the analysis of 2-dimensional Hagen-Poiseuille flow.

Review and Analysis of Boundary Conditions for SPH Particles (SPH 입자의 경계조건 분석 및 해석)

  • Lee, Min-A;Tak, Moon-Ho;Park, Tae-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2011.04a
    • /
    • pp.756-759
    • /
    • 2011
  • 일반적으로 컴퓨터를 이용한 수치 해석에는 격자 수치 해석 방법인 유한요소법 또는 유한차분법이 주로 사용되어 왔다. 그러나 이러한 방법들은 해석하고자 하는 영역을 요소나 격자 등으로 분할해야 하기 때문에 복잡한 현상들을 다루는 데 어려움을 갖게 된다. 이를 극복하기 위해 개발된 방법이 무요소법(Meshfree Method)이며 본 논문에서는 다양한 무요소법들 중 SPH(Smoothed Particle Hydrodynamics)가 고려되어진다. SPH는 라그랑지안 수치 근사 기법을 사용하는 입자법(Particle Method)으로 SPH를 정확하게 실행하기 위해서는 적절한 경계 처리법이 요구된다. 그러나 기존의 경계 처리법은 유체 입자의 침투현상 및 커널(Kernel) 끊김 현상이 발생하기 때문에 적합하지 않다. 따라서 지금까지 SPH의 경계 처리법을 향상시키기 위해 다양한 접근법들이 제안되었으며 본 논문에서는 이러한 접근법들 중 정반사(Specular Reflection), 재회복(Bounce-back), 재도입(Reintroduce) 방법 및 경계 반발력(Repulsive Force)과 가상 입자(Ghost Particle)의 적용이 분석되고 현상 접목을 통해 적절한 경계 처리법이 제안되어진다.

  • PDF

Robustness of Minimum Disparity Estimators in Linear Regression Models

  • Pak, Ro-Jin
    • Journal of the Korean Statistical Society
    • /
    • v.24 no.2
    • /
    • pp.349-360
    • /
    • 1995
  • This paper deals with the robustness properties of the minimum disparity estimation in linear regression models. The estimators defined as statistical quantities whcih minimize the blended weight Hellinger distance between a weighted kernel density estimator of the residuals and a smoothed model density of the residuals. It is shown that if the weights of the density estimator are appropriately chosen, the estimates of the regression parameters are robust.

  • PDF

Particle-Based Framework for Efficiently Representation of the Physical Properties of Paint in Virtual Environment (가상환경에서 물감의 물리적 특성을 효율적으로 표현하는 입자 기반 프레임워크)

  • HyeongJun Yoo;Jong-Hyun Kim
    • Proceedings of the Korean Society of Computer Information Conference
    • /
    • 2023.01a
    • /
    • pp.385-387
    • /
    • 2023
  • 본 논문에서는 물감의 유체성, 확산성, 흡착성, 흡수성 및 응고성과 같은 물감의 물리적 특성을 활용하여 사실적인 페인트 시뮬레이션할 수 있는 입자 기반 프레임워크를 제안한다. 현실에서는 물감이 흐르고, 확산하는 것뿐만 아니라 흡착하거나 시간에 지남에 따라 응고되는 현상을 쉽게 관찰할 수 있다. 본 논문에서는 이런 현상을 사실적으로 표현하기 위하여 SPH(Smoothed-particle hydrodynamics) 방식을 시뮬레이션 하였으며 Isotropic kernel이 아닌 Anisotropic kernel을 사용하여 확산 과정을 표현하는 방식을 소개한다. 우리의 방법은 Fick's law를 바탕으로 물질 전달 방식을 이용한 확산 과정을 표현하였으며, 시간이 지남에 따라 굳어가는 응고성, 그리고 Van der waals 힘을 기반으로 한 흡착 과정을 동시적으로 표현하여 사실적인 페인트를 구현하였다.

  • PDF

A Syudy on Applications of Convex Hull Algorithm in the SPH (SPH에서의 Convex Hull 알고리즘 적용연구)

  • Lee, Jin-Sung;Lee, Young-Shin
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.14 no.2
    • /
    • pp.313-320
    • /
    • 2011
  • SPH(Smoothed Particle Hydrodynamics) is a gridless Lagrangian technique that is useful as an alternative numerical analysis method used to analyze high deformation problems as well as astrophysical and cosmological problems. In SPH, all points within the support of the kernel are taken as neighbours. The accuracy of the SHP is highly influenced by the method for choosing neighbours from all particle points considered. Typically a linked-list method or tree search method has been used as an effective tool because of its conceptual simplicity, but these methods have some liability in anisotropy situations. In this study, convex hull algorithm is presented as an improved method to eliminate this artifact. A convex hull is the smallest convex set that contains a certain set of points or a polygon. The selected candidate neighbours set are mapped into the new space by an inverse square mapping, and extract a convex hull. The neighbours are selected from the shell of the convex hull. These algorithms are proved by Fortran programs. The programs are expected to use as a searching algorithm in the future SPH program.

Flow Simulation of High Flow Concrete using Incompressible Smoothed Particle Hydrodynamics (ISPH) Method (ISPH 기법을 이용한 고유동 콘크리트의 유동 해석)

  • Kim, Sang-Sin;Chung, Chul-Woo;Lee, Chang-Joon
    • Journal of the Korea Institute of Building Construction
    • /
    • v.19 no.1
    • /
    • pp.39-46
    • /
    • 2019
  • A three-dimensional flow simulation model for high flow concrete was developed using Incompressible Smoothed Particle Hydrodynamics (ISPH), which can solved Navier-Stokes equation with the assumption of a fluid to be incompressible. For the simulation, a computer program code for ISPH was implemented with MATALB programming code. A piecewise cubic spline function was used for the kernel function of ISPH. Projetion method was used to calculate the velocity and pressure of particles as a function of time. Fixed ghost particle was used for wall boundary condition. Free surface boundaries were determined by using virtual density of particles. In order to validate the model and the code, the simulation results of slump flow test, $T_{500}$ test and L-box test were compared with experimental ones. The simulation results were well matched with the experimental results. The simulation described successfully the characteristics of the flow phenomenon according to the change of the viscosity and yield stress of high flow concrete.

Gaussian Kernel Smoothing of Explicit Transient Responses for Drop-Impact Analysis (낙하 충격 해석을 위한 명시법 과도응답의 가우스커널 평활화 기법)

  • Park, Moon-Shik;Kang, Bong-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.35 no.3
    • /
    • pp.289-297
    • /
    • 2011
  • The explicit finite element method is an essential tool for solving large problems with severe nonlinear characteristics, but its results can be difficult to interpret. In particular, it can be impossible to evaluate its acceleration responses because of severe discontinuity, extreme noise or aliasing. We suggest a new post-processing method for transient responses and their response spectra. We propose smoothing methods using a Gaussian kernel without in depth knowledge of the complex frequency characteristics; such methods are successfully used in the filtering of digital signals. This smoothing can be done by measuring the velocity results and monitoring the response spectra. Gaussian kernel smoothing gives a better smoothness and representation of the peak values than other approaches do. The floor response spectra can be derived using smoothed accelerations for the design.

A Comparison of a Lagrangian Vortex Method with a Finite Volume Method for the Vorticity-Velocity Formulation. (와도-속도 정식화에서 Lagrangian 보오텍스법과 유한체적법의 비교)

  • Kim Kwang-Soo;Lee Seung-Jae;Suh Jung-Chun
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.47-52
    • /
    • 2002
  • We present an improved Lagrangian vortex method in 2-D incompressible unsteady viscous flows, which is based on a mesh-free integral approach of the velocity-vorticity formulation. Vorticity fields are represented by discrete vortex blobs that are updated by the Lagrangian vorticity transport with the particle strength exchange scheme. Velocity fields are expressed in a form of the Helmholtz decomposition, which are calculated by a fast algorithm of the Biot-Savart integration with a smoothed kernel and by a well-established panel method. No-slip condition is enforced through viscous diffusion of vorticity from a solid body into field. The vorticity flux is determined in such a way that spurious slip velocity vanishes. Through the comparison with the existing finite volume scheme for the transient vortical flows around an impulsively started cylinder at Reynolds number Re=550, we would obtain a more accurate scheme for vortex methods in complicated flows.

  • PDF

Text Line Segmentation of Handwritten Documents by Area Mapping

  • Boragule, Abhijeet;Lee, GueeSang
    • Smart Media Journal
    • /
    • v.4 no.3
    • /
    • pp.44-49
    • /
    • 2015
  • Text line segmentation is a preprocessing step in OCR, which can significantly influence the accuracy of document analysis applications. This paper proposes a novel methodology for the text line segmentation of handwritten documents. First, the average width of the connected components is used to form a 1-D Gaussian kernel and a smoothing operation is then applied to the input binary image. The adaptive binarization of the smoothed image forms the final text lines. In this work, the segmentation method involves two stages: firstly, the large connected components are labelled as a unique text line using text line area mapping. Secondly, the final refinement of the segmentation is performed using the Euclidean distance between the text line and small connected components. The group of uniquely labelled text candidates achieves promising segmentation results. The proposed approach works well on Korean and English language handwritten documents captured using a camera.