24/05/2006, 14:30 — 16:00 — Sala P3.10, Pavilhão de Matemática
Euripides Sellountos, CEMAT - IST, Lisbon, Portugal
Meshless Local Boundary Integral Equation method for solving two dimensional fluid flow problems.
The Local Boundary Integral Equation (LBIE) method, for solving two dimensional incompressible Navier-Stokes equations is presented. A cloud of distributed points without any connectivity requirement is employed for the approximation of the unknown fluid velocity $u(x)$. The interpolation of $u(x)$ is accomplished with the aid of a Moving Least Squares Approximation scheme. The weak integral formulation of LBIE methodology which involves the velocity-vorticity scheme is presented in details. The treatment of terms involving possible non-linearities and time derivatives is explained and the numerical implementation is addressed. Some representative fluid flow examples that demonstrate the accuracy and efficiency of the aforementioned meshless method are solved and the numerical results are discussed.
