HIGH-ORDER SPH METHOD WITH SPATIAL SECOND-ORDER ACCURACY FOR GRADIENT, LAPLACIAN AND MIXED DERIVATIVE

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  • 高精度 SPH 法 ～空間 2 次精度の勾配・ラプラシアン・混合微分～

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<p>SPH methods discretize a continuum with particles and update their position based on the Lagrangian description. Therefore, deformation of the domain can be represented by the movement of the particles. Besides, SPH methods generally use interpolation approximations with a fixed kernel depending on the distance from the target particle to the neighboring particles. Hence, its computational accuracy is guaranteed only when the particles are distributed regularly. Several methods to support its accuracy are proposed such as particle shifting methods, which re-arrange the particle configuration to a regular state, and the correction of differential models in response to particle disorder. In this context, we present a high accuracy second-order derivative model and demonstrate the performance improvement with several examples. In addition, we find that particle shifting methods provides higher-order approximation and simulation stability.</p>

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