FPM改進(jìn)算法及在應(yīng)力波傳播問題中的應(yīng)用
發(fā)布時間：2019-03-09 13:43
【摘要】：有限粒子法(FPM)是傳統(tǒng)SPH方法的重要發(fā)展,大大提高了邊界區(qū)域粒子的計算精度。然而在迭代計算過程中,高耗時和潛在的數(shù)值不穩(wěn)定性是制約FPM應(yīng)用的關(guān)鍵因素。通過對FPM基本方程進(jìn)行矩陣分解,建立了一種特殊格式的FPM改進(jìn)算法。該方法保持FPM方法在邊界區(qū)域較高計算精度的同時,成功地規(guī)避了傳統(tǒng)FPM方法對系數(shù)矩陣可逆性的限制,大大提高了計算效率。最后,將改進(jìn)算法在一維應(yīng)力波傳播問題中予以實(shí)現(xiàn),獲得了較好的數(shù)值結(jié)果。
[Abstract]:Finite particle method (FPM) is an important development of traditional SPH method, which greatly improves the accuracy of particle calculation in the boundary region. However, high time-consuming and potential numerical instability are the key factors restricting the application of FPM. Based on the matrix decomposition of FPM's basic equation, an improved FPM algorithm with special scheme is established. This method preserves the high computational accuracy of the FPM method in the boundary region, and avoids the limitation of the reversibility of the coefficient matrix by the traditional FPM method successfully, and greatly improves the computational efficiency. Finally, the improved algorithm is implemented in the one-dimensional stress wave propagation problem, and good numerical results are obtained.
【作者單位】： 西北工業(yè)大學(xué)航空學(xué)院;
【基金】：國家自然科學(xué)基金(11272266) 西北工業(yè)大學(xué)研究生創(chuàng)業(yè)種子基金(Z2014083)資助項目
【分類號】：O35
本文編號：2437512
[Abstract]:Finite particle method (FPM) is an important development of traditional SPH method, which greatly improves the accuracy of particle calculation in the boundary region. However, high time-consuming and potential numerical instability are the key factors restricting the application of FPM. Based on the matrix decomposition of FPM's basic equation, an improved FPM algorithm with special scheme is established. This method preserves the high computational accuracy of the FPM method in the boundary region, and avoids the limitation of the reversibility of the coefficient matrix by the traditional FPM method successfully, and greatly improves the computational efficiency. Finally, the improved algorithm is implemented in the one-dimensional stress wave propagation problem, and good numerical results are obtained.
【作者單位】： 西北工業(yè)大學(xué)航空學(xué)院;
【基金】：國家自然科學(xué)基金(11272266) 西北工業(yè)大學(xué)研究生創(chuàng)業(yè)種子基金(Z2014083)資助項目
【分類號】：O35
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