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DUAL RECIPROCITY BOUNDARY ELEMENT METHOD FOR THE TIME‐DEPENDENT STOKES FLOWS

International Journal of Numerical Methods for Heat & Fluid Flow, 1993
This paper presents a boundary element formulation for the transient Stokes equations in which the well known closed form fundamental solution to the steady Stokes equations is employed and the time derivative is taken to the boundary with dual reciprocity method.
HENRY POWER, PAUL W. PARTRIDGE
openaire   +1 more source

Modal analysis of acoustic enclosures by dual reciprocity–boundary element method.

The Journal of the Acoustical Society of America, 2010
This work presents a modal analysis of acoustic enclosures by dual reciprocity–boundary element method (DR-BEM). The dual reciprocity formulation allows the use of known Laplace fundamental solutions. The boundary element method possesses the main characteristic that reduces the dimension of the problem upon the discretization of the boundary to ...
Helvio P. Mollinedo   +3 more
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Improvement on dual reciprocity boundary element method for equations with convective terms

Communications in Numerical Methods in Engineering, 1994
AbstractThe dual reciprocity boundary element method, first proposed by Nardini and Brebbia (1982, 1985), is a powerful technique for solving elliptic partial differential equations. Adopting this approach, a singular volume integral, which needs to be evaluated with a traditional boundary element method, can be converted into a boundary integral ...
Zhu, Songping, Zhang, Yinglong
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Effluent Transport on the Solent by the Boundary Element Dual Reciprocity Method

1992
The Dual Reciprocity Method is a well established technique for taking domain integrals to the boundary in Boundary Element analysis. It has been successfully applied to Diffusion Convection analysis on rectangular channels in a series of recent papers.
P. W. Partridge, C. A. Brebbia
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Dual Reciprocity Boundary Element Method for Heterogeneous Porous Media

1992
A solution of steady-state Darcy’s flow in heterogeneous porous media is developed by means of the Dual Reciprocity Boundary Element Method (DRBEM). The governing equation is reduced to a Poisson-type equation involving a nonlinear non-homogeneous term.
K. El Harrouni   +3 more
openaire   +1 more source

Flow Simulation in Heterogeneous Reservoirs Using the Dual Reciprocity Boundary Element Method and the Green Element Method

ECMOR VI - 6th European Conference on the Mathematics of Oil Recovery, 1998
Green's functions are established tools for solving petroleum engineering flow problems. Their utility and rigor was extended to arbitrarily shaped reservoirs using the Boundary Element Method (BEM).
R. Archer, R. N. Home
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A dual reciprocity boundary element method for photothermal interactions in laser-induced thermotherapy

International Journal of Heat and Mass Transfer, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Jianhua, Zhang, Yuwen, Chen, J. K.
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Properties of Gaussian radial basis functions in the dual reciprocity boundary element method

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1993
The dual reciprocity boundary element approach allows for inhomogeneous partial differential equations (PDE) to be treated only as boundary value problems upon discretization. The key factor in this approach is the adoption of a simple particular solution to the inhomogeneous PDE which is approximated over the domain.
Yamada, T., Wrobel, L. C.
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MULTIDIMENSIONAL PHASE CHANGE PROBLEMS BY THE DUAL-RECIPROCITY BOUNDARY-ELEMENT METHOD

Numerical Heat Transfer, Part B: Fundamentals, 1999
This article addresses the numerical analysis of nonlinear transient heat transfer with melting or solidification. An effective and simple procedure is presented for the simulation of the motion of the boundary and the transient temperature field during the phase change process.
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Dual reciprocity boundary element method for flexural waves in thin plate with cutout

Applied Mathematics and Mechanics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Suowen   +3 more
openaire   +2 more sources

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