Least-squares differential quadrature time integration scheme in the dual reciprocity boundary element method solution of diffusive–convective problems

2007 ◽  
Vol 31 (1) ◽  
pp. 83-93 ◽  
Author(s):  
C. Bozkaya
Keyword(s):  
Boundary Element Method ◽  
Least Squares ◽  
Boundary Element ◽  
Time Integration ◽  
Differential Quadrature ◽  
Integration Scheme ◽  
Time Integration Scheme ◽  
Element Method

Transonic Flow Computations in Cascades Using Finite Element Method

1981 ◽  
Vol 103 (4) ◽  
pp. 657-664 ◽  
Author(s):  
H. U. Akay ◽  
A. Ecer
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transonic Flow ◽  
Method Development ◽  
Time Integration ◽  
Integration Scheme ◽  
Complex Flow ◽  
Time Integration Scheme ◽  
Naca 0012 ◽  
Element Method

Analysis of transonic flow through a cascade of airfoils is investigated using the finite element method. Development of a computational grid suitable for complex flow structures and different types of boundary conditions is presented. An efficient pseudo-time integration scheme is developed for the solution of equations. Modeling of the shock and the convergence characteristics of the developed scheme are discussed. Numerical results include a 45 deg staggered cascade of NACA 0012 airfoils with inlet flow Mach number of 0.8 and angles of attack 1, 0, and −1 deg.

Three-Dimensional Transient Advective Diffusion by Boundary Element Method using Direct Time Integral of the Fundamental Solution

1990 ◽  
Vol 212 ◽  
Author(s):  
Ryuji Kawamura ◽  
Akira Isono
Keyword(s):  
Boundary Element Method ◽  
Fundamental Solution ◽  
Boundary Element ◽  
Time Integration ◽  
Three Dimensional ◽  
Boundary Integral ◽  
Fluid Analysis ◽  
Chemically Reacting ◽  
Advective Diffusion ◽  
Element Method

ABSTRACTThe advective diffusion analyses have been applied to many fields of science and engineering, such as dispersion for chemically reacting(first-order reaction) substance, thermal transport in fluid, analysis of electromagnetic field caused by a moving magnet. electron transport in semiconductors, underground migration of radioactive waste, and so on. The boundary element method (BEM) has been developed extensively for the last decade to solve these transient advective diffusion equation. The time integrations of the fundamental solution in the boundary integral equation, however, make the BEM application to advective diffusion problems difficult. Therefore, the time integration has been approximated in the past relevant publications. This paper describes the BEM in which the time integration is done analytically, and technique is demonstrated with several examples. Good results have been obtained in the example calculations, where comparisons are made with the results from other numerical codes.

Failure Analysis of Anisotropic Plates by the Boundary Element Method

2014 ◽  
Vol 30 (6) ◽  
pp. 561-570 ◽  
Author(s):  
A. Sahli ◽  
S. Boufeldja ◽  
S. Kebdani ◽  
O. Rahmani
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Time Integration ◽  
Fundamental Solutions ◽  
Thin Plates ◽  
Anisotropic Plates ◽  
Second Derivatives ◽  
Dynamic Formulation ◽  
Derivatives Of ◽  
Element Method

AbstractThis paper presents a dynamic formulation of the boundary element method for stress and failure criterion analyses of anisotropic thin plates. The elastostatic fundamental solutions are used in the formulations and inertia terms are treated as body forces. The radial integration method (RIM) is used to obtain a boundary element formulationithout any domain integral for general anisotropic plate problems. In the RIM, the augmented thin plate spline is used as the approximation function. A formulation for transient analysis is implemented. The time integration is carried out using the Houbolt method. Integral equations for the second derivatives of deflection are developed and all derivatives of fundamental solutions are computed analytically. Only the boundary is discretized in the formulation. Numerical results show good agreement with results available in literature as well as finite element results.

Analysis of Hydroelasticity of Floating Shiplike Structure in Time Domain Using a Fully Coupled Hybrid BEM-FEM

2009 ◽  
Vol 53 (01) ◽  
pp. 31-47
Author(s):  
Yooil Kim ◽  
Kyong-Hwan Kim ◽  
Yonghwan Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Time Domain ◽  
Integration Scheme ◽  
Structural Domain ◽  
Structural Problems ◽  
Fully Coupled ◽  
Element Method

A fully coupled time-domain ship hydroelasticity problem focusing on a springing phenomenon is considered in this study using a hybrid boundary element method (BEM) finite element method (FEM) scheme. The fluid domain surrounding a flexible vessel is handled with a boundary element method adopting a higher-order B-spline Rankine panel method. The structural domain is modeled by a finite element method relying on the one-dimensional beam element, which is able to capture the coupling effect between torsion and bending as well as warping distortion. Coupling between the two subdomains is realized by the Newton method in which an exact Jacobian matrix is derived by solving both fluid and structure tangent problems. The calculation is repeated until the solution reaches convergence. Thanks to the positive aspects of this implicit scheme, numerical instability related to the time integration can be avoided without relying on infinite frequency added mass, which is inevitable when an explicit scheme is used. Moreover, a direct integration scheme, such as the Newmark-β method, for structural problems can be used, and this formulation can be easily extended to the case with structural nonlinear effect, such as large deformation. The developed computer program is validated through comparison with published experimental data, ending up with good correspondence between the two results. Validation is also achieved through a comparative study on rigid body motion with an existing six degrees of freedom (6-DOF) ship motion program.

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