Computational Fluid Dynamics by the Boundary-Domain Integral Method

The wavelet transform for BEM computational fluid dynamics

“…Through the iterative process, large systems of linear equations must be repeatedly solved. The described discretization procedure was presented among others by Hriberšek and Š kerget [9], Š kerget et al [17], and Wrobel [19].…”

A multidomain boundary element method for two equation turbulence models

“…The speed-up factor in comparison to direct solvers is approximately 10,000 already at moderate grid densities, [12]. New articles by [6,7] also confirm the stability of multidomain model at high Reynolds number values.…”

“…elliptic diffusion-convective, see [7], but we have used the modified Helmholtz fundamental solution in all presented numerical examples.…”

“…The accuracy of BEM, the property (b), is well known quality of BEM, see [6][7][8][9] etc. In comparison to the other numerical methods the accuracy of BEM is significant at lower grid densities.…”

Some notes on the general boundary element method for highly nonlinear problems

“…For example, many researchers applied the BEM to solve viscous flow problems governed by Navier-Stokes equations [16][17][18][19][20][22][23][24][25][26][27][28], among which the two-dimensional driven cavity flow might be the simplest. However, ''the BEM approaches based on convective velocity free kernels fail to converge'' for high and even moderate Reynolds number, and ''neither severe underrelaxation nor Newton-Raphson iteration are remedies'', as pointed out by Grigoriev and Dargush [16].…”