In this paper several methods of dealing with Cauchy Principal Value integrals in advanced boundary element methods are discussed and compared. An attempt is made to present a comprehensive description of these methods in a unified, systematic manner. It is shown that the methods can be grouped into two basic approaches, the (more classical) indirect approach, such as the rigid-body motion tech...

The inference of fault geometry from suprajacent fold shape relies on consistent and verified forward models of fault-cored folds, e.g. suites of models with differing fault boundary conditions demonstrate the range of possible folding. Results of kinematic (fault-parallel flow) and mechanical (boundary element method) models are compared to ascertain differences in the way the two methods simu...

The unrivaled combination of speed, accuracy, and ease of use make CAE software that employs the BEM ideally suited for analyses involving shielding of MRI and NMR systems.

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In this paper, ve investigate the flov of a viscous, Incompresslble, electrlcally conducting fluld through a rectangular duct in the presence of a magnetic fleld, when one of the boundaries perpedlcular to the umgnetlc field is partly conducting and partly Insu/atlng, by a modified Boundary Integral Hethod. Three problems are considered (1) flov through an infinite channel, (li) flov through a ...

This contribution provides the development of a stochastic lift and drag model for an airfoil FX 79-W151A under unsteady wind inflow based on wind tunnel measurements. Here we present the integration of the stochastic model into a well-known standard BEM (Blade Element Momentum) model to obtain the corresponding aerodynamic forces on a rotating blade element. The stochastic model is integrated ...

We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm th...

Article history: Received 19 October 2007 Received in revised form 19 February 2008 Accepted 20 February 2008 Available online 18 April 2008 This paper concerns the behaviour of nonlinear regular waves interacting with rectangular submerged breakwaters. A new series of experimental results is presented and compared with numerical calculations based upon a Boundary Element Method (BEM) that util...

The paper will review the art, craft and science of modelling cavitation bubbles near boundaries through the use of the boundary integral method. The presentation will come in four parts, namely, a discussion of recent experimental studies that have motivated our current research, understanding the physics associated with the phenomena, a detailed presentation on the boundary integral method an...

This letter describes a method for obtaining an explicit expression for the electrostatic energy of a charged elliptical in nitely thin disc. The charge distribution is assumed to be polynomial. Such explicit values for this energy are fundamental for assessing the accuracy of boundary element codes. The main tools used are an extension of Copson's method and a diagonalization, given by Lepping...