【摘要】：針對相對論Vlasov方程動量區(qū)間跨度大、難以計算的困難,將相對論Vlasov方程在球坐標(biāo)動量空間中進行數(shù)值求解.對相對論Vlasov方程球坐標(biāo)動量空間構(gòu)造4階非分裂守恒型數(shù)值格式.數(shù)值模擬相對論Landau阻尼問題并與解析理論進行比較,驗證數(shù)值模型和算法的有效性.對激光等離子體相互作用進行初步模擬分析,表明通過采用球坐標(biāo)下的動量空間,可在相對較少動量網(wǎng)格情形下,獲得與粒子模擬可相互驗證的結(jié)果.
[Abstract]:The relativistic Vlasov equation is solved numerically in the spherical coordinate momentum space because it is difficult to calculate because the momentum interval of the relativistic Vlasov equation is large. The fourth order non-splitting conservation type numerical scheme is constructed for the spherical coordinate momentum space of relativistic Vlasov equation. The numerical simulation of relativistic Landau damping problem is compared with analytical theory to verify the validity of the numerical model and the algorithm. The preliminary simulation analysis of laser plasma interaction shows that by using momentum space in spherical coordinates, the results of mutual verification with particle simulation can be obtained in the case of relatively small momentum grids.
【作者單位】： 北京應(yīng)用物理與計算數(shù)學(xué)研究所;北京大學(xué)應(yīng)用物理與技術(shù)中心;
【基金】：大科學(xué)裝置國家重點研發(fā)計劃(2016YFA0401100) 國家自然科學(xué)基金(91230205,11575031)資助項目
【分類號】：O53
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本文編號：2232411