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Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics. (English) Zbl 1063.65113

Summary: A new Runge-Kutta method with minimal dispersion and dissipation error is developed. The Chebyshev pseudospectral method is utilized using spatial discretization and a new fourth-order six-stage Runge-Kutta scheme is used for time advancing. The proposed scheme is more efficient than the existing ones for acoustic computations.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35L05 Wave equation
76Q05 Hydro- and aero-acoustics
76M22 Spectral methods applied to problems in fluid mechanics
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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References:

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