FINITE-DIFFERENCE TIME-DOMAIN ACOUSTIC SIMULATION TECHNIQUE IN GENERALIZED CURVILINEAR COORDINATES USING CONTRAVARIANT VELOCITY AND PRESSURE FOR LEAPFROG TIME MARCHING

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  • 反変速度-圧力交互時間進行による一般曲線座標系FDTD音場解析手法
  • ハンペン ソクド アツリョク コウゴ ジカン シンコウ ニ ヨル イッパン キョクセン ザヒョウケイ FDTD オンバ カイセキ シュホウ

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Abstract

Finite-difference time-domain (FDTD) acoustic simulation technique in generalized curvilinear coordinates using contravariant velocity and pressure as variables for two-step leapfrog time marching scheme is presented. The technique excels the conventional generalized curvilinear technique using contravariant velocity, covariant velocity and pressure as variables for three-step time marching, especially in that normal acoustic impedance boundary conditions which are indispensable in practical application are also presented. Validation of the technique through comparison against orthogonal FDTD with staircasing applied in irregularly-shaped sound field shows suppressions of phase error in initial time marching stage and diffusion from staircased boundaries.

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