【摘要】：提出了一種徑向基函數(shù)虛擬網(wǎng)格法浸入邊界法以模擬復(fù)雜或多體浸入邊界黏性繞流問(wèn)題.在該方法中,采用有限差分法離散固定笛卡爾交錯(cuò)網(wǎng)格上的不可壓縮Navier-Stokes方程,以分步法結(jié)合三階Runge-Kutta格式進(jìn)行時(shí)間積分,高階TVDMUSCL(total variation diminishing monotonic upstream-centered scheme forconservation laws)格式離散對(duì)流項(xiàng);一個(gè)邊界連續(xù)的虛擬網(wǎng)格法施加物面邊界條件以考慮尖銳邊界對(duì)流場(chǎng)的影響;引入具多項(xiàng)式基的徑向基函數(shù)描述和重構(gòu)任意復(fù)雜浸入界面,并識(shí)別背景網(wǎng)格屬性狀態(tài).采用Fortran90語(yǔ)言開(kāi)發(fā)相應(yīng)的求解器,模擬了繞圓柱、機(jī)翼和交錯(cuò)布置圓柱群的黏性繞流問(wèn)題,驗(yàn)證了本文方法的正確性、可靠性和對(duì)復(fù)雜邊界流動(dòng)問(wèn)題的適用性.
[Abstract]:In this paper, a radial basis function virtual mesh method is proposed to simulate the viscous flow around a complex or multi-body immersed boundary. In this method, the incompressible Navier-Stokes equation on the fixed Cartesian staggered grid is discretized by the finite difference method, and the time integral is obtained by the step method combined with the third-order Runge-Kutta scheme. The high order TVDMUSCL (total variation diminishing monotonic upstream-centered scheme forconservation laws) scheme is used to discretize the convection term; A virtual mesh method with continuous boundary is applied to consider the effect of sharp boundary flow field, and the radial basis function with polynomial basis is introduced to describe and reconstruct any complex immersion interface, and the background grid attribute state is recognized. The corresponding solver developed by Fortran90 language is used to simulate the viscous flow around a cylinder, a wing and a staggered group of cylinders. The correctness, reliability and applicability of the proposed method to complex boundary flow problems are verified.
【作者單位】： 武漢理工大學(xué)交通學(xué)院;
【分類(lèi)號(hào)】：O35

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本文編號(hào)：2356069