Dispersion-relation-preserving finite difference schemes for computational acoustics

来自 Elsevier

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728

作者：

CKW Tam，JC Webb

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摘要：

Time-marching dispersion-relation-preserving (DRP) schemes can be constructed by optimizing the finite difference approximations of the space and time derivatives in wave number and frequency space. A set of radiation and outflow boundary conditions compatible with the DRP schemes is constructed, and a sequence of numerical simulations is conducted to test the effectiveness of the DRP schemes and the radiation and outflow boundary conditions. Close agreement with the exact solutions is obtained.

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关键词：

Theoretical or Mathematical/ acoustic dispersion dispersion relations finite difference methods/ finite difference schemes computational acoustics linearized Euler equations wave propagation wave nodes dispersion relations governing equations high order finite difference scheme acoustic vorticity entropy waves nondispersive nondissipative isotropic wave speeds partial differential equations time marching DRP schemes frequency space numerical stability outflow boundary conditions/ A4320 General linear acoustics A0210 Algebra, set theory, and graph theory A0260 Numerical approximation and analysis