Adaptive Boundary Conditions for Exterior Flow Problems

摘要: We consider the problem of solving numerically stationary incompressible Navier–Stokes equations in an exterior domain two dimensions. This corresponds to studying fluid flow past a body. The necessity truncate for numerical purposes infinite finite leads finding appropriate boundary conditions on surface truncated domain. solve this by providing vector field describing leading asymptotic behavior solution. is given form explicit expression depending real parameter. show that parameter can be determined from total drag exerted Using fact we set up self-consistent scheme determines parameter, and hence drag, as part solution process. compare values obtained with our adaptive results using traditional constant conditions. Computational times are typically reduced several orders magnitude.