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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >On the simulation of wave propagation with a higher-order finite volume scheme based on Reproducing Kernel Methods
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On the simulation of wave propagation with a higher-order finite volume scheme based on Reproducing Kernel Methods

机译:基于再生核方法的高阶有限体积格式的波传播仿真

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In this work we study the dispersion and dissipation characteristics of a higher-order finite volume method based on Moving Least Squares approximations (FV-MLS), and we analyze the influence of the kernel parameters on the properties of the scheme. Several numerical examples are included. The results clearly show a significant improvement of dispersion and dissipation properties of the numerical method if the third-order FV-MLS scheme is used compared with the second-order one. Moreover, with the explicit fourth-order Runge-Kutta scheme the dispersion error is lower than with the third-order Runge-Kutta scheme, whereas the dissipation error is similar for both time-integration schemes. It is also shown than a CFL number lower than 0.8 is required to avoid an unacceptable dispersion error.
机译:在这项工作中,我们研究了基于移动最小二乘近似(FV-MLS)的高阶有限体积方法的色散和耗散特性,并分析了内核参数对方案特性的影响。包括几个数值示例。结果清楚地表明,与使用二阶FV-MLS方案相比,使用三阶FV-MLS方案可以显着改善数值方法的色散和耗散特性。此外,采用显式四阶Runge-Kutta方案,色散误差低于采用三阶Runge-Kutta方案,而两种时间积分方案的耗散误差均相似。还表明,为了避免不可接受的色散误差,CFL数必须低于0.8。

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