Blending finite difference and vortex methods for incompressible flow computations (Q2706458)

The paper is devoted to numerical solution of nonstationary Navier-Stokes system on the base of coupling of finite difference and vortex methods. Actual variants of domain decomposition with overlapping subdomains are considered for problems with two or three space variables; Runge-Kutta or simpler Euler approximations with respect to time are used. The authors discuss applications of such methods to the driven cavity flow, to dipole-wall and ring-wall interactions, and to some other problems. They pay special attention to high-order interpolation formulas which are required to transfer information between the two methods. Very interesting numerical examples are presented; they include cases with large Reynolds number (up to \(10^5\)) and fairly rich grids (like \(1024^2\) or \(128^3\)).