Numerical approximation of boundary conditions with applications to inviscid equations of gas dynamics

摘要: A comprehensive overview of the state art well-posedness and stability analysis difference approximations for initial boundary value problems hyperbolic type is presented. The applicability recent theoretical development to practical calculations nonlinear gas dynamics examined. one dimensional inviscid equations in conservation law form are selected numerical experiments. class implicit schemes developed from linear multistep methods ordinary differential chosen use extrapolation as an explicit or scheme emphasized. Specification data primitive variables computation terms conservative interior discussed. Some examples quasi-one-dimensional nozzle given.