New mathematical tool speeds up fluid simulations for engineering design
Researchers have developed a faster computational method for simulating fluid flow around obstacles—a critical task in designing everything from aircraft to offshore structures. The technique, tested on flow past cylinders, cuts computation time while maintaining accuracy, potentially accelerating product development cycles for industries reliant on complex fluid dynamics modeling.
Originaltitel: A radial basis function partition of unity method for steady flow simulations
<p>A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. First, the problem is posed on a finite domain by means of a proper nonlinear change of variables. The compressed domain is then discretised, regardless of its final shape, via the radial basis function partition of unity method. Finally, the system of nonlinear algebraic collocation equations is solved with the trust-region algorithm, taking advantage of analytically derived Jacobians. We validate the methodology on a benchmark of computational fluid mechanics: the steady viscous flow past a circular cylinder. The resulting flow characteristics compare very well with the literature. Then, we stress-test the methodology on less smooth obstacles-rounded and sharp square cylinders. As expected, in the latter scenario the solution is polluted by spurious oscillations, owing to the presence of boundary singularities.</p>