Implicit High-Order Compact Algorithm for Computational Acoustics

摘要

Accurate solution of the linearized, multidimensional Euler equations for aeroacoustics as a system of simple wave equations is demonstrated. If organized, this system has unambiguous, easily implemented boundary conditions allowing waves of same group speeds to pass through numerical boundaries or comply with wall conditions. Thus, the task of designing a complex multidimensional scheme with approximate boundary conditions reduces to the design of accurate schemes for the simple wave equation. In particular, an implicit compact finite difference scheme and a characteristically exact but numerically nth-order-accurate boundary condition are used.