A Domain Decomposition Method and Far-Field Boundary Conditions for 2D Transonic Flow around an Airfoil

Introduction The domain decomposition method and the zonal methods are efficient techniques in the numerical solution of boundary value problems in computational fluid dynamics. The numerical simulation of the exterior boundary value problems, as for example transonic flow around an airfoil, requires the decomposition of the initial unbounded domain into a bounded computational domain and the far field, see [1], [4], [7], [8], [10], [11]. Further, the different physical properties of the solution in different regions suggest a natural domain decomposition for zones with the corresponding mathematical models. We consider the coupling of the complete system of conservation laws in the computational domain with different and simpler (but physically admissible) models of the conservation laws in the far field. By treating these simplified models analytically and numerically, we obtain non-local artificial boundary conditions for the interior problem. Such a domain decomposition pe