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Thursday, April 30, 2020 | History

2 edition of high order finite element method for the calculation of capillary surfaces found in the catalog.

high order finite element method for the calculation of capillary surfaces

Robert A Brown

high order finite element method for the calculation of capillary surfaces

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  • 40 Currently reading

Published by Dept. of Energy, Lawrence Berkeley Laboratory, for sale by the National Technical Information Service] in [Berkeley, Calif.], [Springfield, Va .
Written in English

  • Finite element method,
  • Capillarity,
  • Numerical calculations

  • Edition Notes

    StatementRobert A. Brown, Department of Chemical Engineering and Materials Science, University of Minnesota
    SeriesLBL ; 7291
    ContributionsUniversity of Minnesota. Dept. of Chemical Engineering and Materials Science, Lawrence Berkeley Laboratory
    The Physical Object
    Pagination25 p. :
    Number of Pages25
    ID Numbers
    Open LibraryOL14880624M

    Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid ers are used to perform the calculations required to simulate the free-stream flow of the fluid, and the interaction of the fluid (liquids and gases) with surfaces defined by boundary conditions. @article{osti_, title = {Simulation of two-phase flow through porous media using the finite-element method}, author = {Felton, G.K.}, abstractNote = {A finite-element model of two-phase flow of air and water movement through porous media was developed. The formulation for radial flow used axisymmetric linear triangular elements. Due to the radial nature of the problem, a two-dimensional. A HIGHER ORDER ACCURATE FINITE ELEMENT METHOD FOR VISCOUS COMPRESSIBLE FLOWS by Daryl L. Bonhaus Committee Chairman: Bernard Grossman Aerospace and Ocean Engineering (ABSTRACT) The Streamline Upwind/Petrov-Galerkin (SU/PG) method is applied to higher-order finite-element discretizations of the Euler equations in one dimension and the Navier-. Level-set methods (LSM) are a conceptual framework for using level sets as a tool for numerical analysis of surfaces and advantage of the level-set model is that one can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects (this is called the Eulerian approach). Also, the level-set method makes it very.

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high order finite element method for the calculation of capillary surfaces by Robert A Brown Download PDF EPUB FB2

Newton's method is used to solve the resulting set of nonlinear equations for the capillary surface. Numerical experiments high order finite element method for the calculation of capillary surfaces book conducted for square and elliptical capillaries in order to compare this high-order method to a bilinear finite element-Newton scheme and a finite difference--dynamic alternating direction implicit (DADI) technique.

Finite-element methods for the calculation of capillary surfaces. Abstract. Galerkin finite-element methods of high accuracy are developed for solving the capillary equation, the nonlinear elliptic partial differential equation describing the shape of an interface between two immiscible by: A reduced quadratic finite element method on quadrilaterals is developed for discretizing the capillary equation in regular and irregular domains.

This method is used to solve the resulting set of nonlinear equations for the capillary surface. High-Order Finite Volume Element Methods for Elliptic PDEs with Singularities, and Applications to Capillarity 0 1− − 0 2 1 4 6 8 10 12 14 Yasunori Aoki University of Waterloo (now at Uppsala University) Hans De Sterck University of Waterloo.

a high order finite element method for the calculation of capillary surfaces By R.A. Brown Topics: Engineering, General and MiscellaneousAuthor: R.A. Brown. An isoparametric form for finite element approximation is used along with quadrature to evaluate integrals that appear in the variational form.

The chapter also applies the methods developed for the equations of solid mechanics to that for thermal analysis based on a nonlinear form of the quasi-harmonic equation.

Although many kinds of numerical methods of the nonlinear reaction-diffusion system have been announced, such as finite difference method [14], B-spline method [15], finite element method. In this section, motivated by the parametric finite element method (PFEM) recently used for solving a class of geometric partial differential equations (e.g., [28,39,[49][50][51]), we propose a parametric finite element numerical scheme for solving the above proposed sharp-interface mathematical model, high order finite element method for the calculation of capillary surfaces book.

Notice that these formulae are quite general (apply to all kinds of finite elements, CST, quadrilateral, etc) since we have not used any specific shape functions for their derivation. 2 4 3 1 psi lb 3 in 2 in Thickness (t) = in E= 30× psi high order finite element method for the calculation of capillary surfaces book (a) Compute the unknown nodal Size: KB.

problem by the finite element method. Discretization of the domain The continuum is divided into a number of finite elements by imaginary lines or surfaces. The interconnected elements may have different sizes and shapes. The high order finite element method for the calculation of capillary surfaces book of the simple elements or higher order element straight or curved, it’s shape.

FINITE ELEMENT METHOD Figure 1 Notations. container = (not necessarily bounded) domain in space 9' cclos(r) u clos(^) = boundary of Q r = capillary surface == free surface of Q, r c: int Y, = wetted surface on the walls of the container, ^ c: cCited by: 8. A high order finite element method for the calculation of capillary surfaces.

[Robert A Brown; University of Minnesota. Department of Chemical Engineering and Materials Science. Finite element analysis and simulation of adhesive bonding, the fitted surfaces by capillary action. Filler metals usually melt between – C, and are generally lead and tin alloys.

Brazing is distinguished from soldering in that that brazing A numerical simulation of adhesive bonding, soldering or brazing is not easy, itFile Size: KB. J.N. Reddy's, An Introduction to the Finite Element Method, third edition is an update of one of the most popular FEM textbooks available.

The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application by: On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems Thesis (PDF Available) February with 95 Reads How we measure 'reads'Author: Christoph Lehrenfeld.

SIAM Journal on Numerical AnalysisAbstract | PDF ( KB) () A spectral finite element approach to modeling soft solids excited with high-frequency harmonic by: conditions.

In addition other numerical methods are available to investigate the seepage such as finite elements, finite differences and finite volumes. The analytical calculation of seepage in dams has received many efforts. Dupuit () assumed that the hydraulic gradients has the same slope of free surfaces.

Then he used the Darcy’s. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics.

Skid resistance is an important surface characteristic that influences roadway safety. Various studies have been performed to understand the interaction between pavement and tires through numerical simulation for skid resistance prediction.

However, the friction parameters required for simulation inputs are generally determined by objective assumptions. This paper develops a finite element Author: Yi Peng, Joshua Qiang Li, You Zhan, Kelvin C.

Wang, Guangwei Yang. This chapter discusses the development of a finite element method (FEM) for truss members. The element developed is commonly known as the truss element or bar element. Such elements are applicable for the analysis of the skeletal type of truss structural systems both in two-dimensional planes and in three-dimensional space.

A HIGH ORDER FINITE ELEMENT METHOD FOR THE CALCULATION OF CAPILLARY SURFACES. Author(s): Brown, R.A. et al. Main Content Metrics Author & Article Info. Main Content. Download PDF to View View Larger. Thumbnails Document Outline Attachments.

Previous. : R.A. Brown. Singiresu S. Rao, in The Finite Element Method in Engineering (Fifth Edition), Introduction. As stated earlier, if the interpolation polynomial is of order two or more, the element is known as a higher order element.

A higher order element can be either complex or multiplex. The extended finite element method (XFEM) is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM).

It extends the classical finite element method by enriching the solution space for solutions. An adaptive finite element method for simulating surface tension with the gradient theory of fluid interfaces Article in Journal of Computational and Applied Mathematics January.

In order to predict the die swell seen in the actual polymer processing, the planar, the capillary and the annular die swell simulations have been performed by the streamline‐upwind finite element method with the subelements for stress components, which was shown effective to calculate up to high Weissenberg number (We) for the entry flow simulation in an earlier : Yoshifumi Kuwano, Toshihisa Kajiwara, Kazumori Funatsu.

The finite element method (FEM), or finite element analysis (FEA), is a computational technique used to obtain approximate solutions of boundary value problems in engineering. Boundary value problems are also called field problems. The field is the domain of interest File Size: 2MB.

this, often referred to as the extended finite element method (XFEM), e.g. Chessa, Smolinski, Belytschko (). This method introduces an enriching function of the level set field, for example a step change across the interface, and multiplies it by each of the finite element trial functions in the elements that are influenced by the interface.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, VOL.9, () AN INVERSE FINITE ELEMENT METHOD WITH AN APPLICATION TO EXTRUSION WITH SOLIDIFICATION A. ALEXANDROU, N. ANTURKAR AND T. PAPANASTASIOU* Department of Chemical Engineering, The University of Michigan, Ann Arbor, MichiganU.S.A. 5 commandments of finite element modeling and analysis 1.

Thou shalt use the simplest model (in terms of model complexity and scope, element type and mesh, etc.) that provides the information you are looking for. Thou shalt verify the quality of the finite element mesh model both prior to the analysis and after results have been generated.

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid–fluid free surface and a liquid–solid interface, with the three‐phase contact line moving across the solid, is considered.

The literature on finite element methods is particularly needed when conducting such issues. However, among these studies and studies, those that discuss the finite element method in this field were rarely seen, especially in the three-dimensional FEM literature, which introduce numerical programs for Cited by: 1.

matrix, and hence, in a constant strain within the element. For higher-order elements, such as the quadratic bar with three nodes, [B] becomes a function of natural coordinates s. The stress matrix is again given by Hooke's law as: E EB d CIVL 7/ Chapter 10 Isoparametric Elements 10/ order and second-order in the L1 norm or between th-order and rst-order in the L2 norm.

Nevertheless, the current method can o er some advantages over numerical methods based on the original formulation for situations with large exponents or when a more accurate location. Mathematics of Transport Phenomena 3 boundaries and free interfaces can be solved in a fixed or movi ng reference frame.

Parallelization and vectorization make it. equation procedure with the finite element method (FEM) in a hybrid Finite Element Boundary Integral approach (FEBI) [1].

In electromagnetics the FEM is a general purpose technique that solves for volumetric electric fields and can be used to accurately characterize microwave components, antennas and signal integrity issues [2, 3]. For an-File Size: KB. The solution is approximated by a perturbation series in a parameter related to the capillary number.

The expansion of the solution results in a sequence of decoupled linear elliptic boundary value problems.

This sequence is solved numerically by a Finite Element method, and the accuracy of the approximations is by: 2. The finite element method is a powerful tool for solving differential equations, especially in complicated domains and where higher-order approximations are desired.

Figure Domain for flow around a dolphin shows a two-dimensional domain with a non-trivial geometry. CEF3D (Finite Element Calculation in 3D) is intented as a finite elements method software, with aplication oriented to civil and structural engineer, it is designed in two modules, one for analisys and another for design, all under GNU license.

Some of the features (now in develop) include multi load case, load combinations, plate, membrane. Juanes, Ruben, and Patzek, Tadeusz W. Multiscale finite element methods for miscible and immiscible flow in porous States: N. p., Web.

'The strength of this book lies in its emphasis on a complete presentation of the underlying theories followed by clear steps and concise formulation applied to a plethora of problems, which include basic numerical schemes such as Euler and Runge-Kutta methods and relatively advanced schemes such as the pseudo-spectral method, spectral methods with body fitted grids, and the immersed boundary Cited by: 5.

@article{osti_, title = {Modeling and design optimization of adhesion between pdf at the microscale.}, pdf = {Sylves, Kevin T}, abstractNote = {This research applies design optimization techniques to structures in adhesive contact where the dominant adhesive mechanism is the van der Waals force.

Interface finite elements are developed for domains discretized by beam elements.Finite-difference time-domain or Yee's method (named after the Chinese American applied download pdf Kane S.

Yee, born ) is a numerical analysis technique used for modeling computational electrodynamics (finding approximate solutions to the associated system of differential equations).Since it is a time-domain method, FDTD solutions can cover a wide frequency range with .We present a ebook method for nonrigid registration of 3D surfaces and images.

The method ebook be used to register surfaces by means of their distance images, or to register medical images directly. It is formulated as a minimization problem of a sum of several terms representing the desired properties of a registration result: smoothness, volume preservation, matching of the surface, its Cited by: 4.