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| A four-stage fourth order Runge-Kutta time high-order pseudospectral method for acoustic equation simulation |
| YANG Huai-Ying, TANG Xiao-Ping, LIU Kuan-Hou |
| Xi'an Center of Geological Survey, China Geologicaly Survey, Xi'an 710054, China |
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Abstract The Runge-Kutta method is a common technology for solving the Ordinary Differential Equations (ODE) and is characterized by high precision, strong stability and some other advantages. In this paper, based on a new four-stage fourth order Runge-Kutta method, the authors first combined the four-stage calculation formula with a new two-stage iteration formula, thus achieving the purpose of saving computational memory. And then, the time high-order discrete form of the acoustic wave equation was derived and, in combination with the pseudospectral method, some researches on the high-accuracy and high-definition acoustic wave field simulation technology of the four-stage fourth order Runge-Kutta time high-order pseudospectral method were carried out, with an investigation of the stability and dispersion of the method. Finally, homogeneous media, layered media and lens model were selected for wave field simulation test. The simulation results show that the four-stage fourth order Runge-Kutta time high-order pseudospectral method has strong stability and high wave field definition and can effectively remove the dispersion and adapt itself to large simulation parameter range, thus being a high efficient wave field simulation method with great application potential.
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Received: 17 July 2013
Published: 10 August 2014
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