A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization
Christine Bernardi, Tomás Chacón Rebollo, Roger Lewandowski, François Murat · SIAM Journal on Numerical Analysis · 2002
We consider a system of equations that models the stationary flow of two immiscible turbulent fluids on adjacent subdomains. The equations are coupled by nonlinear boundary conditions on the interface which is here a fixed given surface. We propose a spectral discretization of this problem and perform its numerical analysis. The convergence of the method is proven in the two-dimensional case, together with optimal error estimates.