本文選題：奇異邊界法 + 時(shí)間依賴基本解�。� 參考：《計(jì)算力學(xué)學(xué)報(bào)》2017年02期

【摘要】：奇異邊界法是一個(gè)半解析邊界配點(diǎn)強(qiáng)格式方法,具有無數(shù)值積分和無網(wǎng)格、編程容易以及數(shù)學(xué)簡(jiǎn)單等優(yōu)點(diǎn)。本文首次將時(shí)間依賴基本解運(yùn)用于奇異邊界法,計(jì)算模擬二維標(biāo)量波方程;結(jié)合確定源點(diǎn)強(qiáng)度因子的反插值技術(shù),提出了二維狄利克雷邊界標(biāo)量波方程源點(diǎn)強(qiáng)度因子的一個(gè)經(jīng)驗(yàn)公式;引進(jìn)了解決波方程基本解G奇異性的一種無奇異積分處理方法。數(shù)值實(shí)驗(yàn)證明,基于時(shí)間依賴基本解的奇異邊界法可精確高效地模擬二維狄利克雷邊界標(biāo)量波方程,在計(jì)算效率、精度、穩(wěn)定性和適應(yīng)性等方面有明顯優(yōu)勢(shì)。
[Abstract]:Singular boundary method is a semi-analytic boundary collocation strong scheme method, which has the advantages of no numerical integration and meshless, easy programming and simple mathematics.In this paper, the time dependent fundamental solution is applied to the singular boundary method for the first time to simulate the two-dimensional scalar wave equation, and the inverse interpolation technique is used to determine the intensity factor of the source point.An empirical formula for the intensity factor of the source point of the two-dimensional Dilikley boundary scalar wave equation is presented, and a non-singular integral processing method for solving the G singularity of the fundamental solution of the wave equation is introduced.Numerical experiments show that the singular boundary method based on the time-dependent fundamental solution can accurately and efficiently simulate the two-dimensional Delikley boundary scalar wave equation, and has obvious advantages in computational efficiency, accuracy, stability and adaptability.
【作者單位】： 河海大學(xué)工程與科學(xué)數(shù)值模擬軟件中心
【基金】：國(guó)家自然科學(xué)基金(11372097,11302069) 111計(jì)劃(B12032) 國(guó)家杰出青年科學(xué)基金(11125208) 聲場(chǎng)聲信息國(guó)家重點(diǎn)實(shí)驗(yàn)室開放基金(SKLA201509)資助項(xiàng)目
【分類號(hào)】：O241.8

【相似文獻(xiàn)】

相關(guān)期刊論文 前3條

1 陳文;;奇異邊界法:一個(gè)新的、簡(jiǎn)單、無網(wǎng)格、邊界配點(diǎn)數(shù)值方法[J];固體力學(xué)學(xué)報(bào);2009年06期

2 劉曉蘭;朱江;;二階奇異邊界值問題解的存在性(英文)[J];徐州師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2007年01期

3 ;[J];;年期

相關(guān)會(huì)議論文 前1條

1 陳文;王福章;;奇異邊界法中的兩種反插技術(shù)[A];中國(guó)力學(xué)學(xué)會(huì)學(xué)術(shù)大會(huì)'2009論文摘要集[C];2009年

，

本文編號(hào)：1747088