王文全 王金霖 駱佳玲

摘 要：結(jié)合格子Boltzmann方法和隱式擴(kuò)散浸入邊界方法，實(shí)現(xiàn)流體-固體耦合運(yùn)動的求解。預(yù)測的速度和壓力場可以通過格子Boltzmann方法快速求解，而流固耦合界面力由滿足流固界面的無滑移邊界條件隱式獲得，固體邊界節(jié)點(diǎn)與流場節(jié)點(diǎn)間的信息交換通過高階導(dǎo)數(shù)光滑函數(shù)實(shí)現(xiàn)。該方法的主要優(yōu)點(diǎn)是易于實(shí)施，效率高，并且減少了非物理振蕩和非物理流線穿透。為了確定該數(shù)值方法的有效性，通過圓柱繞流和翼型繞流基準(zhǔn)算例證實(shí)了該方法的可靠性;模擬不同雷諾數(shù)下被動旋轉(zhuǎn)轉(zhuǎn)子與流體的相互作用，進(jìn)一步驗(yàn)證了該方法的魯棒性。

關(guān)鍵詞：格子Boltzmann方法; 隱式擴(kuò)散浸入邊界法; 高階光滑函數(shù);流體固體相互作用

中圖分類號：O35

文獻(xiàn)標(biāo)志碼：A

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（責(zé)任編輯：于慧梅）

Abstract：

The lattice Boltzmann method and the implicit diffused interface immersed boundary method are combined to solve the fluid-solid coupling motion.The predicted velocity and pressure fields can be solved quickly by lattice Boltzmann method. The fluid-structure interface forces are obtained implicitly by the no-slip boundary condition satisfying the fluid-structure interface. The information exchange between solid boundary nodes and flow field nodes is realized by the high-order derivative smooth function.The main advantage of this present method is that it is not only simple in concept and easy for implementation， but also it is of high efficiency and reduces the non-physical oscillations. In order to identify the effectiveness and validity of this numerical method， to flow around a stationary circular cylinder and airfoil NACA0012 are simulated firstly. It clarified that this method is reliable and the no-slip boundary is satisfied very well. Then， the interaction between the passively rotating rotor and the fluid under different Reynolds numbers is simulated to further verify the robustness of the proposed method.

Key words：

lattice Boltzmann method; implicit diffused interface immersed boundary method; high-order smooth functions; fluid-solid interaction

王文全，男，1977年生，四川南充人，博士，教授，博士生導(dǎo)師，霍英東青年基金獲得者，云南省中青年學(xué)術(shù)與技術(shù)帶頭人，云南省萬人計(jì)劃產(chǎn)業(yè)技術(shù)領(lǐng)軍人才，云南省引進(jìn)高層次人才（二層次），四川大學(xué)“雙百人才工程A計(jì)劃”。長期潛心于多場耦合基礎(chǔ)理論以及可再生能源利用方面的研究。已出版學(xué)術(shù)專著2部，發(fā)表學(xué)術(shù)論文120余篇。申請國內(nèi)發(fā)明專利17項(xiàng)，已授權(quán)9項(xiàng)。獲云南省自然科學(xué)一等獎2項(xiàng)，云南省自然科學(xué)二等獎2項(xiàng)。主持/參與完成國家自然科學(xué)基金重大研究計(jì)劃項(xiàng)目、國家自然科學(xué)基金重點(diǎn)項(xiàng)目、云南省重大科技專項(xiàng)等縱向科技項(xiàng)目19項(xiàng)以及其它橫向項(xiàng)目多項(xiàng)。