A radiation boundary condition is derived for the Euler equation linearized about a constant state with a mean flow. Since nonlinearities and viscosity are not important in the far field, this boundary condition is also useful for high Reynolds number Navier-Stokes flow. The use of the radiation boundary condition allows both an acceleration to a steady state and a constriction in the size of the computational domain. This results in savings in both computer storage and running times. Results are presented for both the Navier-Stokes and Euler equations. A variety of schemes have been used in conjunction with the boundary condition. These include explicit and implicit finite difference schemes and spectral methods. The effectiveness of the radiation condition is evident in all these cases.
|Journal||SIAM Journal on Scientific and Statistical Computing|
|State||Published - 1982|